A000000 A000000 Conjectured formulas of the OEIS by Simon Plouffe as of July 3 2018. A000000 Version 1.0 : August 1992, Current version : 2018 07 03 A000000 There are 51180 unique sequence and more than 105794 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] A000012 15.8359 [{a(n+1)-a(n), a(0) = 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 11.9190 [{-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] 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 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] A000041 43.1807 [1/(-x+1) ogf_with_Euler_transform] 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 8.21182 [{-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 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 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 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] 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 A000079 15.1905 [{a(n+1)-2*a(n), a(0) = 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 8.66936 [{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 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 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] A000122 9.06036 [-(x^2-x+2)/(-x^3-x^2-x-1) ogf_with_Euler_transform] 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] 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] 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 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 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 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 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] 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] A000141 12.1134 [-(6*x^2-6*x+12)/(-x^3-x^2-x-1) ogf_with_Euler_transform] 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] A000144 10.6807 [-(10*x^2-10*x+20)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A000145 10.1816 [-(12*x^2-12*x+24)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A000152 9.99438 [-(16*x^2-16*x+32)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A000153 5.74110 [{a(n)*n+(n+2)*a(n+1)-a(n+2), a(0) = 0, a(1) = 1}, ogf] 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 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 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 6.45249 [{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] 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 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 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 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 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 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 5.98246 [{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 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] 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] 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 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 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 7.47402 [{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 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] 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] A000302 13.8040 [{a(n+1)-4*a(n), a(0) = 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 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] 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 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 6.25071 [{-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 6.90252 [{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 6.21086 [{(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 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] 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] 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] 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 7.61131 [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 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 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 3.77777 [ -(2*x^2+x-2)/(x-1)/(x^2+x-1) 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 7.46809 [{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 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 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] A000420 13.7313 [{a(n+1)-7*a(n), a(0) = 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] 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] 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 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 6.66419 [{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] 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 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] 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 7.57327 [{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 6.57972 [{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] 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] 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] 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 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] A000700 17.8870 [-(-x^2+x-1)/(-x^4+1) ogf_with_Euler_transform] 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] 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] A000726 20.1326 [-(-x-1)/(-x^3+1) ogf_with_Euler_transform] A000727 34.2767 [4/(x-1) ogf_with_Euler_transform] A000728 27.0504 [5/(x-1) ogf_with_Euler_transform] A000729 31.7307 [6/(x-1) ogf_with_Euler_transform] A000730 25.1240 [7/(x-1) ogf_with_Euler_transform] A000731 30.4619 [8/(x-1) ogf_with_Euler_transform] A000735 29.8514 [12/(x-1) ogf_with_Euler_transform] A000739 22.8927 [16/(x-1) ogf_with_Euler_transform] 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] 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] 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] 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 9.27860 [-(24*x^3+9*x^2-10*x-1)/(6*x^4+3*x^3-5*x^2-x+1) lgdogf] A000779 13.5354 -2*(2*x+5+(1-2*x)^(1/2))/(2*x+3)/(-1+2*x) lgdegf 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] 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] 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 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 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 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 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] 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 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] 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 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] 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 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 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 20.2795 [-x/(-x^3-x^2-1) revogf] A001005 67.8112 x/(1+x^2+x^3) revogf 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 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 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 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 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 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 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 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 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 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 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 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 9.61262 [{-a(n+2)+a(n+1)+2*a(n), a(0) = 0, a(1) = 1}, 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] 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] 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] 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 9.44539 [{a(n+2)-4*a(n+1)+a(n), a(0) = 1, a(1) = 2}, 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 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 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 6.88218 [{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 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 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 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 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 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 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] 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] 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 6.64790 [{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 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] 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 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] 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 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 6.47396 [{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] 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] 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 7.17448 [-(108*x^2-72*x+11)/(36*x^3-36*x^2+11*x-1) lgdogf] 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 8.55396 [{-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 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 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] 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 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 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 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 7.69180 [-(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 8.85685 [ -(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] A001386 13.9035 -4*(x+3)*(3*x+1)/(-1+x)/(1+x)/(x^2+6*x+1) lgdogf 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] 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 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 4.98356 [{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 4.68388 [{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 4.67361 [{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 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 9.62146 [{-a(n+2)+2*a(n+1)-a(n), a(0) = -1, a(1) = -2}, ogf] A001489 117.310 -2/(-1+x) lgdogf A001489 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 7.26963 [{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 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 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] 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 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 9.47859 [ 3*(x+1)*(5*x^2+206*x+5)/(x-1)^4 ogf] A001520 9.47859 [-(5*x^3+437*x^2+1055*x+231)/(5*x^4+206*x^3-206*x-5) lgdogf] 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 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 6.88497 [{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 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 6.96159 [{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 6.78976 [{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 6.91321 [{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 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 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] 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 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 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 5.65881 [{-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 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 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 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] A001565 17.5802 -(11+9*x+x^3+3*x^2)/(-1+x)/(2+3*x+x^3) lgdegf 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 7.95700 [{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 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 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 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 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 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 7.84355 [-(-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] 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 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] 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 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 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 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 9.73999 [-(-2*x^3+6*x^2-3)/(-x^4+2*x^3+2*x^2-5*x+2) lgdogf] 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 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] 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 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 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 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] 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] 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 7.16704 [{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 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 8.00388 [{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 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 8.79467 [{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] 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 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 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] 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 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 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 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 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 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 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 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 A001789 12.7818 [ 1/(2*x-1)^4 ogf] A001789 23.7376 [8/(-2*x+1) lgdogf] 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] 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 9.67871 [{-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] 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] 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 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 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 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 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 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 7.77241 [{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 [{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 5.68361 [{(-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 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] 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 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] 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] 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] 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 6.47396 [{a(n+3)-a(n+2)+a(n+1)-a(n), a(0) = 1, a(1) = 7, a(2) = 9}, 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 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 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 5.68582 [{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] 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] A001934 17.6668 [-(2*x+4)/(x^2-1) ogf_with_Euler_transform] A001935 17.1558 [-(-x^2-x-1)/(-x^4+1) ogf_with_Euler_transform] A001936 15.2927 [-(-2*x^2-2*x-2)/(-x^4+1) ogf_with_Euler_transform] A001937 16.6743 [-(-3*x^2-3*x-3)/(-x^4+1) ogf_with_Euler_transform] A001938 13.4768 [-(4*x-4)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A001939 15.9786 [-(-5*x^2-5*x-5)/(-x^4+1) ogf_with_Euler_transform] A001940 15.2559 [-(-6*x^2-6*x-6)/(-x^4+1) ogf_with_Euler_transform] A001941 15.2329 [-(-7*x^2-7*x-7)/(-x^4+1) ogf_with_Euler_transform] 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 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 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 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 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 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] 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 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 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 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 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 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] 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] 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 7.79879 [{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 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 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 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 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 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 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] 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] 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 9.54817 [{-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 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 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 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 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 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 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 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 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 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 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 9.67162 [-(20*x-11)/(10*x^2-11*x+1) lgdogf] 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 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 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] A002288 17.8415 [-(16*x+8)/(-x^2+1) ogf_with_Euler_transform] 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 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 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 8.90938 [{-a(n+2)+6*a(n+1)-a(n), a(0) = 1, a(1) = 7}, 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 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 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 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] 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] 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] 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] 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] 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 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 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 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 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] A002448 13.4800 [-(-x-2)/(x^2-1) ogf_with_Euler_transform] 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] 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 4.55167 [{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] 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] A002474 4.48218 [{(4*n^2+20*n+24)*a(n+1)-a(n+2), a(0) = 2, a(1) = 16}, 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] A002483 12.8897 [3*x^7/(x^8-1) ogf_with_Euler_transform] 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 [{(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 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] A002513 18.6584 [-(-2*x-1)/(-x^2+1) ogf_with_Euler_transform] 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 7.47750 [{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 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 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] 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 7.65466 [{-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 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 9.97418 [-(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] 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 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 9.36380 [{-a(n+2)+2*a(n+1)+2*a(n), a(0) = 0, a(1) = 1}, 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] 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] 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] 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] 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 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 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] 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 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] 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] 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 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 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 5.72357 [{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] A002865 27.7888 [-x/(x-1) ogf_with_Euler_transform] 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] 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 9.78882 [{-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] 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 7.28779 [{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] 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 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 9.85551 [{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] 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] A003168 19.6319 1/2*(1+x+(1-6*x+x^2)^(1/2))*x revogf A003169 11.8853 [-(-x^3+2*x^2-x)/(x+1) revogf] A003169 37.8662 x*(-1+x)^2/(x+1) revogf A003185 15.1001 -3*(-15-18*x+x^2)/(-1+x)/(3*x^2-30*x-5) lgdogf 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] 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] 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 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 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 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 5.77974 [{-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 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] 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 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 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] 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 9.48518 [-(19*x^2-22*x+7)/(6*x^4+x^3-20*x^2+17*x-4) lgdogf] 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 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 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 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 4.71471 [{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 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 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] 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 6.47775 [{-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 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] A003486 14.5041 -6*(1+3*x+9*x^2)/(3*x-1)/(18*x^2-3*x+1) lgdogf 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 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 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 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 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 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 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 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 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 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 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] 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] 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] 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 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 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 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 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] 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 4.95754 [{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 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 6.38030 [ -(x^3-18*x^2+33*x-11)/(x^4-19*x^3+41*x^2-19*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 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 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 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 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 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 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 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 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 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 3.86267 [{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 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 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 3.37090 [{-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 9.90707 [-(-x^3+3*x^2-15*x-11)/(-x^4+4*x^3-10*x^2+6*x+1) lgdogf] 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 A003945 11.2158 [{a(n+2)-2*a(n+1), a(0) = 1, a(1) = 3}, 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 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 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 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 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 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 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 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 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 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] 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 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 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] 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] A004020 32.8139 [-2/(-x-1) ogf_with_Euler_transform] A004024 15.2628 [-(-3*x^2-2*x-1)/(x^3+x^2+x+1) ogf_with_Euler_transform] 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] 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] 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 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 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] 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 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] 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 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 8.08865 [ -x*(6*x^2-1)/(3*x-1)^2/(2*x-1)^2 ogf] A004142 8.08865 [-(72*x^3-36*x+10)/(36*x^4-30*x^3+5*x-1) lgdogf] 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 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] 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 8.52324 [ -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 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 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 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 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 [{-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] 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 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 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 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] 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] 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 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 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 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] 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 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] A004403 11.8744 [-(2*x^2-2*x+4)/(x^3+x^2+x+1) ogf_with_Euler_transform] A004406 9.40647 [-(5*x^2-5*x+10)/(x^3+x^2+x+1) ogf_with_Euler_transform] A004411 10.6255 [-(-10*x^2+10*x-20)/(-x^3-x^2-x-1) ogf_with_Euler_transform] 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 7.59088 [{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] 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 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 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] 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] 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] 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] 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 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 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] 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 5.57639 [{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 8.55269 [-(-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] 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] 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 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 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] 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 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 9.86701 [{-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 9.81793 [{-a(n+2)+2*a(n+1)-a(n), a(0) = 3, a(1) = 7}, 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 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 9.90036 [{-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 9.90036 [{-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 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 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] 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] 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] 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] 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 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] 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 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] 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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] 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 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] 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 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] 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 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 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 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] 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 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 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 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 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 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 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 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] 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 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 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] A005015 14.3839 [{a(n+1)-2*a(n), a(0) = 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] 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 6.24352 [{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 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 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 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 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 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 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 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 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 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 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 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 6.60594 [{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 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] 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] 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] 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] 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 [{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] 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 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] 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 5.58319 [{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 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 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 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 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 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] 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 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 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 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 7.70874 [-(-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 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 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] 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 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] 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 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 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 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 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] 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 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 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 6.45857 [-(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 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 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 [{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 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] A005443 11.1030 [-(-2*x-1)/(-x^2-x+1) lgdegf] 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 7.30147 [{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 7.36290 [{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 5.49534 [{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 5.47884 [{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] 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] 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] 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] 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] 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 5.58908 [{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] 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 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 6.18133 [{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] 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] 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 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 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 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] 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 6.82160 [{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 4.95430 [{-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 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 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 8.87115 [{-a(n+2)+6*a(n+1)+a(n), a(0) = 1, a(1) = 3}, 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 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 9.88149 [ -x^4/(x-1)/(2*x^2-1)/(x^2+x-1) 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 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] 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] 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 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] 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] 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 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] 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] 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 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] A005809 11.2450 [hypergeom([1/3, 2/3],[1/2],27/4*x) 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] 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] 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] A005825 11.1198 [ x*(4*x^2-2*x-1)/(2*x^2-1)/(2*x^2-5*x+1) 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 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 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 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 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] A005875 14.0411 [-(3*x^2-3*x+6)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A005876 14.5070 [-(3*x^2-x+4)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A005877 9.92626 [-(-3*x^2-x-2)/(x^3+x^2+x+1) ogf_with_Euler_transform] A005878 35.3282 [-3/(-x-1) ogf_with_Euler_transform] A005879 33.5065 [-4/(-x-1) ogf_with_Euler_transform] A005880 23.3194 [-4/(-x-1) ogf_with_Euler_transform] 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] A005884 14.8173 [-(-3*x^2-x-2)/(x^3+x^2+x+1) ogf_with_Euler_transform] A005886 37.3868 [-3/(-x-1) ogf_with_Euler_transform] 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] 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 6.55732 [{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] 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 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] 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 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] 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 5.64016 [{(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] 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 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] 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 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] 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 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 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 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] 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 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] 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] 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 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] 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] 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] 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 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 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] 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 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 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 5.64061 [{(-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] A006001 18.5895 -2*(2+x^3+3*x^2)/(x-1)/(2*x^3+1) lgdogf 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] 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] 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] 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 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 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] 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 A006044 13.5444 [ 6/(4*x-1)^4 ogf] A006044 25.6876 [16/(-4*x+1) lgdogf] 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 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] 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] 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 3.91155 [{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 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 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 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 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 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 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 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 8.46134 [-(375*x^2-310*x+31)/(125*x^3-155*x^2+31*x-1) lgdogf] 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 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 [{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 8.29561 [{-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 8.50038 [{-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] 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 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 9.76324 [{-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] 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 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] 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 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 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 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 6.20234 [{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 6.39387 -(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 7.73316 [{-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 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 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 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 6.48711 [{-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] 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 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 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] 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 8.76151 [{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 5.68121 [{(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] 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] A006343 15.1762 1/2/(1+x+x^3)*(2+x+(-x^2*(-1+4*x))^(1/2))*x revogf 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 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 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 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] 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 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] 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 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] 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 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 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 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] 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] 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] 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] 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 7.43270 [{a(n+2)-2*a(n+1)+5*a(n), a(0) = 1, a(1) = 1}, 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 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] 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 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] 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 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 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] 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] 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 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] 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 9.32164 [3*hypergeom([1/3, 2/3],[1/2],27*x) 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 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] 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 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] 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] 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] 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] 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] 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 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] 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] 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] A006904 11.5870 -(1+7*x+2*x^3+2*x^2)/(2*x-1)/(x+1)/(x^2+x+1) lgdogf 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] 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] A006950 15.3528 [-(-x^3-x^2-1)/(-x^4+1) ogf_with_Euler_transform] 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] 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] A007040 10.1897 [ 2*(x^4-2*x^2-x-1)/(x^2+x+1)/(x^2+x-1) 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 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] 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 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 6.69160 [{-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] 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 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 [{-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] 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] 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] A007249 18.7768 [12/(x^2-1) ogf_with_Euler_transform] A007259 25.8018 [8/(x^2-1) ogf_with_Euler_transform] A007262 32.0917 [-(-6*x-6)/(x^3-1) ogf_with_Euler_transform] A007272 7.74178 [{(-4*n-6)*a(n+1)+(n+5)*a(n+2), a(0) = 10, a(1) = 5}, ogf] A007283 15.2636 [{a(n+1)-2*a(n), a(0) = 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 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 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 8.69980 [{-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] 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] 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 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] 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] 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 38.2948 [ -2/(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 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] 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 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] 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] A007477 12.9148 -1/2-1/2*x^2+1/2*((1+x)*(x^3-x^2+3*x+1))^(1/2) revogf 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] 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 7.40254 [{-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 7.51880 [{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 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] 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 7.86189 [{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] 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 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 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 5.65764 [{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 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 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 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 8.95632 -(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 7.71259 [{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] 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] 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] 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] 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] 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] 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 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] 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 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 8.85846 [{-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] A007655 10.1010 -1/2*(-14*x-1+(16*x+1)^(1/2)*(1+12*x)^(1/2))/x revogf 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 3.29251 [{-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] 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 5.46621 [{a(n+3)-2*a(n+2)+a(n+1)-2*a(n), a(0) = 1, a(1) = 1, a(2) = 4}, ogf] A007680 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 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 7.86712 [{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 6.11819 [ -(x-2)*(5*x^2+2*x+5)/(11*x^4-18*x^3+3*x^2-22*x+1) 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 7.14452 [{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 4.58241 [{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 4.14703 [{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] 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] 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 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 5.87525 [{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 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 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 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 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 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] 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] 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] 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 5.92166 [{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] 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 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] 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] 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 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] 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 6.35379 [{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 5.75168 [{-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 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 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] A008437 17.0294 [3*x^7/(x^8+1) ogf_with_Euler_transform] A008438 33.8736 [-4/(-x-1) ogf_with_Euler_transform] A008439 34.3028 [-5/(-x-1) ogf_with_Euler_transform] A008440 31.7011 [-6/(-x-1) ogf_with_Euler_transform] A008441 32.8823 [-2/(-x-1) ogf_with_Euler_transform] A008442 18.0146 [2*x^3/(x^4+1) ogf_with_Euler_transform] A008443 36.4221 [-3/(-x-1) ogf_with_Euler_transform] A008451 11.7909 [-(7*x^2-7*x+14)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A008452 11.5205 [-(9*x^2-9*x+18)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A008453 10.9338 [-(11*x^2-11*x+22)/(-x^3-x^2-x-1) ogf_with_Euler_transform] 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 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 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] A008483 21.3876 [-x^2/(x-1) ogf_with_Euler_transform] A008484 27.4834 [-x^3/(x-1) ogf_with_Euler_transform] 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 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 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 8.62122 [ -(x+1)*(x^2+6*x+1)/(x-1)^3 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 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 6.52556 [ (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 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 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] 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] 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 21.6276 [ 19*x/(x-1)^2 ogf] A008601 28.9264 76*x/(19+(361+76*x)^(1/2))^2 revogf 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 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 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 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 21.6251 [ 24*x/(x-1)^2 ogf] A008606 33.7482 6*x/(6+(36+6*x)^(1/2))^2 revogf 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] 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] 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 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] 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] 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] 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 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] 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 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 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 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 4.33747 [{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 5.69063 [{-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] 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] 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] 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 7.30011 [{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] 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] 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] 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] 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 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 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 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 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] A009545 10.4363 [{a(n+2)-2*a(n+1)+2*a(n), a(0) = 0, a(1) = 1}, 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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 8.63211 [{-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 8.87155 [{-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 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] 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] 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 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 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 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 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 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 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 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] 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 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 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 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 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 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 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 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 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 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 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 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 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 7.73645 -(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 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 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 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 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 7.98957 -(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 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 7.65049 -(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 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 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 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 7.89773 -(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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 32.3892 [ -10/(x-1) 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 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 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 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 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 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 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 10.8286 [{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 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 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 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 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 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 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 10.8286 [{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 39.6517 [ -4/(x-1) 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 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 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 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 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 A010716 101.072 x/(5+x) revogf A010716 13.9439 [{a(n+1)-a(n), a(0) = 5}, ogf] A010716 29.0034 [ -5/(x-1) ogf] A010716 78.6118 -1/(-1+x) lgdogf 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 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 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 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 A010722 101.072 x/(6+x) revogf A010722 13.9439 [{a(n+1)-a(n), a(0) = 6}, ogf] A010722 29.0034 [ -6/(x-1) ogf] A010722 78.6118 -1/(-1+x) lgdogf 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 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 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 10.8286 [{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 29.0034 [ -7/(x-1) ogf] A010727 78.6118 -1/(-1+x) lgdogf 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 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 10.8286 [{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 29.0034 [ -8/(x-1) ogf] A010731 78.6118 -1/(-1+x) lgdogf 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 10.8286 [{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 29.0034 [ -9/(x-1) ogf] A010734 78.6118 -1/(-1+x) lgdogf 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 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 5.36477 [{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] 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] A010816 22.9248 [3/(x-1) ogf_with_Euler_transform] A010817 24.9368 [9/(x-1) ogf_with_Euler_transform] A010818 26.3538 [10/(x-1) ogf_with_Euler_transform] A010819 28.0922 [11/(x-1) ogf_with_Euler_transform] A010820 23.2652 [13/(x-1) ogf_with_Euler_transform] A010821 22.3281 [14/(x-1) ogf_with_Euler_transform] A010822 23.3775 [15/(x-1) ogf_with_Euler_transform] A010823 22.6645 [17/(x-1) ogf_with_Euler_transform] A010824 22.1720 [18/(x-1) ogf_with_Euler_transform] A010825 21.9300 [19/(x-1) ogf_with_Euler_transform] A010826 22.0568 [20/(x-1) ogf_with_Euler_transform] A010827 21.9295 [21/(x-1) ogf_with_Euler_transform] A010828 22.1802 [22/(x-1) ogf_with_Euler_transform] A010829 21.6655 [23/(x-1) ogf_with_Euler_transform] A010830 27.0421 [25/(x-1) ogf_with_Euler_transform] A010831 20.5351 [26/(x-1) ogf_with_Euler_transform] A010832 28.1955 [27/(x-1) ogf_with_Euler_transform] A010833 21.1043 [28/(x-1) ogf_with_Euler_transform] A010834 27.8879 [29/(x-1) ogf_with_Euler_transform] A010835 35.3965 [30/(x-1) ogf_with_Euler_transform] A010836 27.4432 [31/(x-1) ogf_with_Euler_transform] A010837 21.2806 [32/(x-1) ogf_with_Euler_transform] A010838 21.2005 [44/(x-1) ogf_with_Euler_transform] A010839 21.0641 [48/(x-1) ogf_with_Euler_transform] A010840 20.3940 [40/(x-1) ogf_with_Euler_transform] A010841 25.6942 [64/(x-1) ogf_with_Euler_transform] 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 A010850 101.229 x/(11+x) revogf A010850 15.5949 [{a(n+1)-a(n), a(0) = 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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] 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 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 8.73465 -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] A010892 24.1944 [x^5-x^2-x+1 ogf_with_Euler_transform] A010892 24.2461 [ 1/(x^2-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] 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 8.65348 [{-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 6.71626 [{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 8.84223 [{-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 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 8.80204 [{-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 6.23583 [{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 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 6.74484 [{-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 6.65190 [{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 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 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 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 6.52922 [{-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 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] 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 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 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] 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 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 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 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] 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 6.51896 [{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 7.86338 [{-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] 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 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 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 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 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] 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] 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 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 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 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 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] 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 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 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 5.25406 [{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 5.27206 [{-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] 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] 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 5.54758 [{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 [{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] 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 [{a(n+3)-5*a(n+2)+4*a(n+1)-a(n), a(0) = 0, a(1) = 1, a(2) = 3}, 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 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] 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] 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 4.22098 [{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 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 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] 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] 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 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 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 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 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 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 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 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 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 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] 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] 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] 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 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 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 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] 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] 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] 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] 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] 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] 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 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 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 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 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 22.7139 [ -9/(27*x-1) ogf] A013733 41.3908 1/27*ln(1+3*x) revegf 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 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 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 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 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 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 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 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 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 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 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 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 A013747 23.5677 1/1000*ln(1+10*x) revegf A013747 23.5677 -1000/(-1+1000*x) lgdogf 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 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 A013751 19.2580 1/1728*ln(1+12*x) revegf A013751 19.2580 -1728/(-1+1728*x) lgdogf A013752 17.4557 1/2197*ln(1+169*x) revegf A013752 18.4825 -2197/(-1+2197*x) lgdogf A013753 11.6398 [{a(n+1)-2197*a(n), a(0) = 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 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 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 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 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 A013759 16.1462 1/4096*ln(1+16*x) revegf A013759 16.1462 -4096/(-1+4096*x) lgdogf A013760 14.3250 1/4913*ln(1+289*x) revegf A013760 15.1677 -4913/(-1+4913*x) lgdogf 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 A013763 22.1014 1/5832*ln(1+18*x) revegf A013763 22.1014 -5832/(-1+5832*x) lgdogf A013764 19.7750 1/6859*ln(1+361*x) revegf A013764 20.9382 -6859/(-1+6859*x) lgdogf A013765 22.4892 1/6859*ln(1+19*x) revegf A013765 22.4892 -6859/(-1+6859*x) lgdogf A013766 25.9681 1/8000*ln(1+400*x) revegf A013766 27.4956 -8000/(-1+8000*x) lgdogf A013767 29.2564 1/8000*ln(1+20*x) revegf A013767 29.2564 -8000/(-1+8000*x) lgdogf A013768 26.7356 1/9261*ln(1+441*x) revegf A013768 28.3083 -9261/(-1+9261*x) lgdogf A013769 29.6628 1/9261*ln(1+21*x) revegf A013769 29.6628 -9261/(-1+9261*x) lgdogf A013770 25.3285 1/10648*ln(1+484*x) revegf A013770 25.3285 -10648/(-1+10648*x) lgdogf A013771 26.5404 -10648/(-1+10648*x) lgdogf A013771 28.0148 1/10648*ln(1+22*x) revegf 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 A013774 20.1219 1/13824*ln(1+576*x) revegf A013774 20.1219 -13824/(-1+13824*x) lgdogf A013775 16.3072 -13824/(-1+13824*x) lgdogf A013775 17.2131 1/13824*ln(1+24*x) revegf 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 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 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 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 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 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 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 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 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 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 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 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 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 27.4956 -4096/(-1+4096*x) lgdogf A013789 29.2141 1/4096*ln(8*x+1) revegf A013790 24.9447 1/6561*ln(1+729*x) revegf A013790 26.4121 -6561/(-1+6561*x) lgdogf A013791 28.9855 -6561/(-1+6561*x) lgdogf A013791 30.7971 1/6561*ln(1+9*x) revegf 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 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 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 A013798 20.1046 1/28561*ln(1+2197*x) revegf A013798 21.1627 -28561/(-1+28561*x) lgdogf A013799 23.4756 -28561/(-1+28561*x) lgdogf A013799 24.7798 1/28561*ln(1+13*x) revegf A013800 20.6539 1/38416*ln(1+2744*x) revegf A013800 21.7409 -38416/(-1+38416*x) lgdogf A013801 24.1694 -38416/(-1+38416*x) lgdogf A013801 25.5122 1/38416*ln(1+14*x) revegf A013802 21.0933 1/50625*ln(1+3375*x) revegf A013802 22.2035 -50625/(-1+50625*x) lgdogf A013803 24.7476 -50625/(-1+50625*x) lgdogf A013803 26.1225 1/50625*ln(1+15*x) revegf A013804 21.6426 1/65536*ln(1+4096*x) revegf A013804 22.7817 -65536/(-1+65536*x) lgdogf 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 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 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 A013811 24.1694 -130321/(-1+130321*x) lgdogf A013811 26.7136 1/130321*ln(1+19*x) revegf A013812 22.0768 1/160000*ln(1+8000*x) revegf A013812 22.0768 -160000/(-1+160000*x) lgdogf A013813 24.5879 -160000/(-1+160000*x) lgdogf A013813 27.1761 1/160000*ln(1+20*x) revegf A013814 22.4953 1/194481*ln(1+9261*x) revegf A013814 22.4953 -194481/(-1+194481*x) lgdogf A013815 24.9018 -194481/(-1+194481*x) lgdogf A013815 27.5231 1/194481*ln(1+21*x) revegf 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 A013837 26.9538 -3125/(-1+3125*x) lgdogf A013837 28.6385 1/3125*ln(1+5*x) revegf A013838 23.8742 1/7776*ln(1+1296*x) revegf A013838 26.6830 -7776/(-1+7776*x) lgdogf A013839 26.2239 1/7776*ln(1+216*x) revegf A013839 27.7665 -7776/(-1+7776*x) lgdogf A013840 28.8501 1/7776*ln(1+36*x) revegf A013840 28.8501 -7776/(-1+7776*x) lgdogf A013841 29.9337 -7776/(-1+7776*x) lgdogf A013841 31.8045 1/1296*x/(6*x+1) revogf A013842 24.4075 1/16807*ln(1+2401*x) revegf A013842 25.6921 -16807/(-1+16807*x) lgdogf 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 A013845 22.5504 -16807/(-1+16807*x) lgdogf A013845 25.2034 1/16807*ln(1+7*x) revegf A013846 19.9947 1/32768*ln(1+4096*x) revegf A013846 21.0471 -32768/(-1+32768*x) lgdogf A013847 21.9722 1/32768*ln(1+512*x) revegf A013847 21.9722 -32768/(-1+32768*x) lgdogf A013848 23.0130 -32768/(-1+32768*x) lgdogf A013848 24.2915 1/32768*ln(1+64*x) revegf A013849 24.0538 -32768/(-1+32768*x) lgdogf A013849 26.8836 1/32768*ln(8*x+1) revegf A013850 21.2032 1/59049*ln(1+6561*x) revegf A013850 22.3191 -59049/(-1+59049*x) lgdogf A013851 23.2443 1/59049*ln(1+729*x) revegf A013851 23.2443 -59049/(-1+59049*x) lgdogf A013852 24.2851 -59049/(-1+59049*x) lgdogf A013852 25.6342 1/59049*ln(1+81*x) revegf 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 A013855 22.4953 1/100000*ln(1+1000*x) revegf A013855 22.4953 -100000/(-1+100000*x) lgdogf 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 A013858 20.9735 1/161051*ln(1+14641*x) revegf A013858 21.9722 -161051/(-1+161051*x) lgdogf A013859 22.9139 1/161051*ln(1+1331*x) revegf A013859 22.9139 -161051/(-1+161051*x) lgdogf 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 A013862 21.6726 1/248832*ln(1+20736*x) revegf A013862 22.7046 -248832/(-1+248832*x) lgdogf A013863 23.6463 1/248832*ln(1+1728*x) revegf A013863 23.6463 -248832/(-1+248832*x) lgdogf 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 A013866 22.2718 1/371293*ln(1+28561*x) revegf A013866 23.3324 -371293/(-1+371293*x) lgdogf 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 A013869 20.1013 -371293/(-1+371293*x) lgdogf A013869 22.2172 1/371293*ln(1+13*x) revegf A013870 22.8711 1/537824*ln(1+38416*x) revegf A013870 23.9602 -537824/(-1+537824*x) lgdogf 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 A013873 20.5964 -537824/(-1+537824*x) lgdogf A013873 22.7644 1/537824*ln(1+14*x) revegf A013874 23.4703 1/759375*ln(1+50625*x) revegf A013874 24.5879 -759375/(-1+759375*x) lgdogf 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 A013877 21.0915 -759375/(-1+759375*x) lgdogf A013877 23.3116 1/759375*ln(1+15*x) revegf A013878 23.1186 1/1048576*ln(1+65536*x) revegf A013878 23.1186 -1048576/(-1+1048576*x) lgdogf 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 A013881 19.4382 -1048576/(-1+1048576*x) lgdogf A013881 22.3540 1/1048576*ln(1+16*x) revegf A013882 23.4052 1/1419857*ln(1+83521*x) revegf A013882 23.4052 -1419857/(-1+1419857*x) lgdogf 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 A013885 20.0711 -1419857/(-1+1419857*x) lgdogf A013885 23.0818 1/1419857*ln(1+17*x) revegf 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 A013888 19.6191 -1889568/(-1+1889568*x) lgdogf A013888 21.4875 1/1889568*ln(1+324*x) revegf A013889 20.5232 -1889568/(-1+1889568*x) lgdogf A013889 23.6016 1/1889568*ln(1+18*x) revegf 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 A013892 19.9807 -2476099/(-1+2476099*x) lgdogf A013892 21.8836 1/2476099*ln(1+361*x) revegf A013893 20.8848 -2476099/(-1+2476099*x) lgdogf A013893 24.0175 1/2476099*ln(1+19*x) revegf 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 A013896 20.1615 -3200000/(-1+3200000*x) lgdogf A013896 22.0817 1/3200000*ln(1+400*x) revegf A013897 21.2465 -3200000/(-1+3200000*x) lgdogf A013897 24.4334 1/3200000*ln(1+20*x) revegf 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 A013900 20.6136 -4084101/(-1+4084101*x) lgdogf A013900 22.5768 1/4084101*ln(1+441*x) revegf A013901 21.5177 -4084101/(-1+4084101*x) lgdogf A013901 24.7453 1/4084101*ln(1+21*x) revegf 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 A013904 20.9752 -5153632/(-1+5153632*x) lgdogf A013904 22.9729 1/5153632*ln(1+484*x) revegf A013905 21.8793 -5153632/(-1+5153632*x) lgdogf A013905 25.1612 1/5153632*ln(1+22*x) revegf 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 A013908 23.1709 1/6436343*ln(1+529*x) revegf A013909 22.2410 -6436343/(-1+6436343*x) lgdogf A013909 25.5771 1/6436343*ln(1+23*x) revegf 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 A013912 21.4273 -7962624/(-1+7962624*x) lgdogf A013912 23.4680 1/7962624*ln(1+576*x) revegf 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 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] 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 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] 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 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] 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] 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 A014103 21.5146 [24/(-x^2+1) ogf_with_Euler_transform] A014105 13.8470 [ -x*(x+3)/(x-1)^3 ogf] A014105 38.8865 -2*(5+x)/(x+3)/(x-1) lgdogf 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 7.08153 [{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] 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 [{-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] 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] 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] 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 7.47750 [{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] 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] 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 [{-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 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] 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 7.94007 [{(-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 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 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] 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] 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] A014336 10.8000 [ -6*x^3/(x^2-3*x+1)/(9*x^2+3*x-1) 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 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 7.65840 [ -x^4/(2*x-1)/(16*x^2+4*x-1)/(x^2+4*x-1) 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 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 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] 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 18.3102 1/4*x-1/4+1/4*(-(1+7*x)*(x-1))^(1/2) revogf 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 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 14.6584 1/10*x-1/10+1/10*(-(19*x+1)*(x-1))^(1/2) revogf 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] 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 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 7.53283 [{-a(n+2)+4*a(n+1)+a(n), a(0) = 2, a(1) = 4}, ogf] A014455 13.4654 [-(-3*x^4+x^3-4)/(x^5+x^4+x+1) ogf_with_Euler_transform] 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] 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 9.86376 [ -(2*x+1)/(2*x-1)^3 egf] 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] 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] 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 7.62462 [ (2*x+1)/(2*x-1)^4 egf] 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 A014523 10.2244 [ (x^2-3*x+1)/(x^4-7*x^3+9*x^2-7*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 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 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] 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 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 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 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 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 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 7.43323 [{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] 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 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 8.85083 [{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] A014717 12.4373 [ -(x^2+14*x-9)/(x+1)/(x^2-3*x+1) 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] 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 5.53370 [{-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] 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 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] 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] 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] 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] 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] 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] 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] 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] 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 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 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 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] A014969 12.2417 [-(-8*x^2+4*x-8)/(-x^4+1) ogf_with_Euler_transform] 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] 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 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] 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] 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 7.31427 [{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 [{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 6.64294 [{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 [{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 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] 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 5.86641 [{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] A015128 18.4071 [-(x+2)/(x^2-1) ogf_with_Euler_transform] 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 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 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 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 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 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 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 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 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 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 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 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] 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] 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] 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] 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] 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] 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] 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] 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 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] 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 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] A015266 11.3484 [ 1/(x-1)/(2*x+1)/(8*x+1)/(4*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 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 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 7.83767 [{-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 9.90967 [{-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 8.13788 [{-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 7.61540 [{-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 7.28626 [{-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 7.35164 [{-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 7.54308 [{-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 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 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 6.94299 [{-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 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 7.72268 [{-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 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 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 8.62002 [{-a(n+2)+11*a(n+1)+a(n), a(0) = 1, a(1) = 1}, 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 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] 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 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] 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] 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 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] 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] 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 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] 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 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 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] 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 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 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 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 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] 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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] 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 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 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 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 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 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 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 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 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] 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 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 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 7.63796 2/(113*x-1)/(111*x-1) lgdogf A016028 12.1822 [ -(x^4-x+1)/(x-1)^3 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 5.64155 [{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 [{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] 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] 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 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 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 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 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 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] 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 11.9301 [{-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 [{-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 5.89974 [{-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 6.17193 [{-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 6.64113 [{-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 6.31458 [{-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 7.29548 [{-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] 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 6.52884 [{-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] 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] 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 6.71333 [{-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 6.26993 [{-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 [{-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] 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 6.52884 [{-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 [{-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] 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 5.99280 [{-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 [{-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] 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] 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 [{-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 6.52884 [{-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 5.96641 [{-a(n+2)+16*a(n+1)-48*a(n), a(0) = 1, a(1) = 16}, 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 [{-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 [{-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 [{-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] 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 [{-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 8.56426 [{-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] 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 6.82418 [{-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] 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 [{-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 6.59685 [{-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] 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] 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 6.52884 [{-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] 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 6.06640 [{-a(n+2)+19*a(n+1)-84*a(n), a(0) = 1, a(1) = 19}, 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 [{-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 5.96641 [{-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] 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 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 [{-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] 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 6.09470 [{-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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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 [{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] 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] 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] 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] 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] 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] 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] 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 [{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] 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] 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 4.33314 [{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 5.91530 [{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] 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 4.28553 [{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] 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 5.86559 [{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 [{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] 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 4.34426 [{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] 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 4.43869 [{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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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 4.63917 [{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] 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 4.20259 [{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] 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] 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] 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] 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] 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] 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 4.32064 [{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] 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] 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] 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 3.92783 [{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 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] 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 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] 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 6.69768 [{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 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] 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] A016767 17.9940 -2*(4+7*x+x^2)/(x-1)/(x^2+4*x+1) lgdogf 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 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 5.37528 [{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] 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 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 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 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] 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] 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 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 10.7352 [{-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 7.63477 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n), a(0) = 1, a(1) = 25, a(2) = 81}, ogf] A016815 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 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 5.24355 [{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 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 5.24355 [{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 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] 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] 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] 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 A016862 14.5979 -2*(18+49*x+8*x^2)/(x-1)/(16*x^2+33*x+1) lgdogf 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 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 A016874 16.3170 -(49+92*x+9*x^2)/(x-1)/(9*x+1)/(x+4) lgdogf 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 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 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 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 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 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 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 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] 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] 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 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 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 6.96076 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n), a(0) = 1, a(1) = 49, a(2) = 169}, ogf] A016923 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 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 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 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 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 [{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 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 9.94590 [{-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 4.90150 [{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 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 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 6.49791 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n), a(0) = 25, a(1) = 121, a(2) = 289}, ogf] A016971 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] 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] 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 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 A016994 14.2011 -2*(32+97*x+18*x^2)/(x-1)/(36*x^2+61*x+1) lgdogf 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 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 A017006 14.6428 -(81+188*x+25*x^2)/(x-1)/(25*x^2+69*x+4) lgdogf 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 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 A017018 14.7294 -2*(50+89*x+8*x^2)/(x-1)/(16*x^2+73*x+9) lgdogf 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 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 A017030 14.2511 -(121+164*x+9*x^2)/(x-1)/(9*x^2+73*x+16) lgdogf 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 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 A017042 14.2511 -2*(72+73*x+2*x^2)/(x-1)/(4*x^2+69*x+25) lgdogf 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 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 A017054 15.8345 -(169+124*x+x^2)/(x-1)/(x^2+61*x+36) lgdogf 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 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] 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] A017067 17.4021 -2*(4+7*x+x^2)/(x-1)/(1+x^2+4*x) lgdogf 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 A017078 14.1652 -(81+254*x+49*x^2)/(x-1)/(49*x^2+78*x+1) lgdogf 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 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 9.85230 [{-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 9.26632 [ -4*(9*x^2+22*x+1)/(x-1)^3 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 9.85230 [{-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 6.41250 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n), a(0) = 9, a(1) = 121, a(2) = 361}, ogf] A017103 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 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 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 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 4.82563 [{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 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 9.90036 [{-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 4.82563 [{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 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 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 4.82563 [{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 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] 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 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 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 9.94842 [{-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 4.86723 [{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 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 9.94842 [{-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 4.86723 [{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 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 9.94842 [{-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 4.86723 [{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 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 9.94842 [{-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 4.85470 [{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 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 9.94842 [{-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 4.88378 [{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 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 9.94842 [{-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 4.88378 [{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 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 9.94842 [{-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 4.88378 [{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 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 9.94842 [{-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 4.88378 [{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 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] 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 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 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 9.99648 [{-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 6.39473 [{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 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 9.99648 [{-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 4.92588 [{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 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 9.99648 [{-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 4.92588 [{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 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 9.99648 [{-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 4.91285 [{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 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 9.99648 [{-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 6.93319 [{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 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 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 6.40133 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n), a(0) = 36, a(1) = 256, a(2) = 676}, ogf] A017343 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 9.99648 [{-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 4.91285 [{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 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 9.99648 [{-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 4.91285 [{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 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 9.99648 [{-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 6.96427 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n), a(0) = 81, a(1) = 361, a(2) = 841}, ogf] A017379 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 [{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 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 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 11.7383 [{-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 4.98452 [{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 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 A017414 13.4428 -(169+476*x+81*x^2)/(x-1)/(81*x^2+157*x+4) lgdogf 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 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 A017426 13.1302 -2*(98+233*x+32*x^2)/(x-1)/(64*x^2+169*x+9) lgdogf 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 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 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 8.94777 [ -(49*x^2+177*x+16)/(x-1)^3 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 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 8.94777 [ -(36*x^2+181*x+25)/(x-1)^3 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 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 8.94777 [ -(25*x^2+181*x+36)/(x-1)^3 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 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 8.94777 [ -(16*x^2+177*x+49)/(x-1)^3 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 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 9.08758 [ -(9*x^2+169*x+64)/(x-1)^3 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 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 9.14072 [ -(4*x^2+157*x+81)/(x-1)^3 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 9.73667 [{-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 8.65137 [ -(x^2+141*x+100)/(x-1)^3 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 [{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 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 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 A017534 12.9864 -(169+574*x+121*x^2)/(x-1)/(121*x^2+166*x+1) lgdogf 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 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 A017546 14.2850 -(49+142*x+25*x^2)/(x-1)/(25*x^2+46*x+1) lgdogf 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 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 A017558 15.4433 -(25+62*x+9*x^2)/(x-1)/(9*x^2+22*x+1) lgdogf 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 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 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 4.80632 [{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 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 9.85398 [{-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 4.83509 [{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 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 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 4.83509 [{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 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 9.85398 [{-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 4.83509 [{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 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 9.85398 [{-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 4.82266 [{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 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 9.85398 [{-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 4.82266 [{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 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 9.78393 [{-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 4.81043 [{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 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 9.78393 [{-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 4.81043 [{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 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 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 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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 4.45598 [{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] 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 5.81671 [{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 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] 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] 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] 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 4.29703 [{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] 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] 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] 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] 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] 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 4.36787 [{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] 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 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 4.77544 [{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] 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] 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] 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] 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] 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 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 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 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 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 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 8.88609 [{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 4.52825 [{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] 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] 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] 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] A018918 10.2043 [ -(x^3-2*x^2+3*x-3)/(x-1)/(x^3-x^2+2*x-1) 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] 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 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 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 4.15538 [{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] 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 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] 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] 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 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] 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 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] 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] A019479 10.0344 [ -(2*x^3-x^2+4*x-4)/(x-1)/(x^3+2*x-1) 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] 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] 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] 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] 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 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] 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] 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] 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 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 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 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] 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 6.25578 [{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 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] 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] 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 3.85467 [{(-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 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 4.62459 [{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] A019623 12.2098 [ -1/(11*x-1)/(7*x-1)/(4*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] 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] 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] 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] 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] 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] 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 5.52082 [{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] 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 4.36787 [{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] 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] 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 6.61998 [{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] 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] 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] 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 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] 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 4.50416 [{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 5.81671 [{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] 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 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 4.29703 [{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 4.34426 [{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 4.62459 [{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] 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 4.34426 [{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] 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] 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 4.36787 [{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 4.32642 [{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 5.61393 [{-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 5.96374 [{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 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 5.53058 [{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 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 7.06672 [ (1444*x^2-50*x+1)/(x-1)/(4*x-1)/(16*x-1)/(32*x-1) 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 4.68591 [{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] 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 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 5.93124 -(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 5.54935 [{-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 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 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 5.56214 [{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 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 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 5.68439 [{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 5.25214 [{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 [{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] 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] A020569 11.2884 [ -1/(5*x-1)/(12*x-1)/(11*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 [{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] 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 [{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 4.32064 [{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] 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] 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] 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 [{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] 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] 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 [{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 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 8.79777 [{a(n+2)-5*a(n+1)+2*a(n), a(0) = 2, a(1) = 9}, 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 9.98120 [{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 8.79294 [{a(n+2)-3*a(n+1)-a(n), a(0) = 3, a(1) = 10}, 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 8.70700 [{-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 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 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 6.76414 [{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 11.5475 [{-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 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 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] A020714 14.9293 [{a(n+1)-2*a(n), a(0) = 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 11.6000 [{-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] 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 8.47616 [{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 11.6525 [{-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] 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 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 11.4240 [{-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] 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 4.39148 [{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 8.86044 [{-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 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] 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 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 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 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 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 8.42548 [{a(n+3)-2*a(n+2)+a(n), a(0) = 7, a(1) = 10, a(2) = 15}, 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 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 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 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] A020761 11.2690 [{-a(n+1), a(0) = 5}, ogf] A020761 181.048 1/5*x revogf 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] A020773 100.582 5/(2+5*x) lgdogf 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 4.62459 [{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 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] 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] 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 4.34426 [{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 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 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 8.90017 [{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 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 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 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 4.36787 [{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] 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 4.36787 [{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 4.39148 [{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 [{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 4.41508 [{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 5.74166 [{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 5.79073 [{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 4.36787 [{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 5.59443 [{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] A020979 12.7495 [ -1/(10*x-1)/(11*x-1)/(8*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 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 [{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 3.97404 [{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] A020984 16.2971 [ -1/(11*x-1)/(12*x-1)/(9*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 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] 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 7.28690 [{-a(n+3)+a(n+2)+a(n+1)+a(n), a(0) = 0, a(1) = 2, a(2) = 1}, 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 8.72026 [{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 7.25218 [{a(n+2)-2*a(n+1)-2*a(n), a(0) = 4, a(1) = 11}, 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 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 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 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] 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 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] 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 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 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] 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 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 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 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] 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 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 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] A021037 11.0137 [{a(n+2)-a(n), a(0) = 0, a(1) = 3}, 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] A021040 11.0726 [{-a(n+3)+a(n+2), a(0) = 0, a(1) = 2, a(2) = 7}, 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 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] 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] 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] A021049 10.2769 [ 1/(x-1)/(3*x-1)/(2*x-1)/(10*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] A021054 10.2769 [ 1/(x-1)/(3*x-1)/(2*x-1)/(11*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 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 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 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 7.61714 [{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] A021070 11.0726 [{a(n+3)-a(n+1), a(0) = 0, a(1) = 1, a(2) = 5}, 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 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 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 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 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 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 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 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 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 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 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] 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] 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] 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 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 A021129 10.7963 [ 1/(x-1)/(2*x-1)/(8*x-1)/(5*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 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 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 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 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 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] 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 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 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 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] 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 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 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 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] 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 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 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 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] 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] 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] 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 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 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 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 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 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 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 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 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 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 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 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 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] 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 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 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 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 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 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 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] 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 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 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 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 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] 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 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 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 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 A021374 10.7418 [ 1/(x-1)/(4*x-1)/(3*x-1)/(8*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 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 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 A021394 10.0131 [ 1/(x-1)/(3*x-1)/(4*x-1)/(11*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 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 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] 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 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 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 A021434 10.6535 [ 1/(x-1)/(3*x-1)/(8*x-1)/(5*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 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 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 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 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 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] 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 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 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] 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 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] 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 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 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 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 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 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 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 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 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] 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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] 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 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 9.75500 [ 1/(x-1)/(4*x-1)/(9*x-1)/(5*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 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 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 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 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 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 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] 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 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 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 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 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] 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 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 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 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 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 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] 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 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] 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 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 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 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 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] 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 9.56209 [ 1/(x-1)/(12*x-1)/(10*x-1)/(4*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] 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] 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 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] 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] 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] A022024 12.7577 [ -(5*x^2-6)/(9*x^3-x^2-11*x+1) 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 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 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] 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 [{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 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 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 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] 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 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 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 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 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 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 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 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 9.84811 [{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 9.93683 [{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 9.55573 [{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 9.64379 [{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 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 9.70163 [{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] 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 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 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 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 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 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 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 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 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 6.88436 [{a(n+2)-a(n+1)-a(n), a(0) = 1, a(1) = 20}, 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 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 9.59977 [{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 9.77590 [{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 9.83214 [{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 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 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 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 6.88436 [{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 9.68783 [{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 9.73187 [{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 9.78864 [{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 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 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 9.96266 [{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 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 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 6.88436 [{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 6.92534 [{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 9.86398 [{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 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 9.45531 [{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 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 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] 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 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 9.45531 [{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 9.45531 [{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 9.49848 [{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] 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 6.88436 [{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] 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 6.92534 [{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] 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 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 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 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] 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] 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] 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] 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] 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 7.28779 [{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 5.42391 [{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 7.39091 [{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 5.52134 [{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 7.31544 [{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 7.31544 [{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 6.75001 [{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 6.99399 [{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 7.37540 [{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 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 6.98509 [{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 6.98509 [{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 7.54535 [{-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 7.51226 [{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 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 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 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 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 5.34876 [{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 5.34876 [{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 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 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 5.41168 [{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 5.41168 [{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 5.44315 [{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 5.44315 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n), a(0) = 0, a(1) = 16, a(2) = 63}, ogf] A022291 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 8.52683 [{-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] 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] 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] 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] 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] 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] 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] 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] 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] 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 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 6.26783 [{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 6.34156 [{-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 6.41531 [{-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 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 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 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 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 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 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 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 25.8973 [ -12*x/(x^2+x-1) ogf] A022346 31.4782 -(1+2*x)/(x^2+x-1) lgdogf 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] 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 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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 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 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 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 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 6.88436 [{a(n+2)-a(n+1)-a(n), a(0) = 2, a(1) = 20}, 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] 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] 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 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 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] 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] 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 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 9.87565 [{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 8.99547 [{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] 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 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] 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 9.58483 [{a(n+2)-a(n+1)-a(n), a(0) = 7, a(1) = 15}, 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 10.7375 [{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 10.7375 [{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 10.7375 [{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 10.7813 [{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 10.7813 [{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 10.8251 [{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 10.8251 [{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] 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] 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] 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 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] 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] 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 8.43815 [{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 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 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 9.46420 [{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 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 9.50235 [{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 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 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 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 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 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 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 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 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] 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] A022568 32.6835 [3/(-x^2+1) ogf_with_Euler_transform] A022569 30.4805 [4/(-x^2+1) ogf_with_Euler_transform] A022570 30.2746 [5/(-x^2+1) ogf_with_Euler_transform] A022571 29.7917 [6/(-x^2+1) ogf_with_Euler_transform] A022572 30.2629 [7/(-x^2+1) ogf_with_Euler_transform] A022573 30.4746 [8/(-x^2+1) ogf_with_Euler_transform] A022574 28.4997 [9/(-x^2+1) ogf_with_Euler_transform] A022575 27.1629 [10/(-x^2+1) ogf_with_Euler_transform] A022576 28.3976 [11/(-x^2+1) ogf_with_Euler_transform] A022577 29.2955 [12/(-x^2+1) ogf_with_Euler_transform] A022578 28.3237 [13/(-x^2+1) ogf_with_Euler_transform] A022579 27.4653 [14/(-x^2+1) ogf_with_Euler_transform] A022580 26.3906 [15/(-x^2+1) ogf_with_Euler_transform] A022581 38.9317 [16/(-x^2+1) ogf_with_Euler_transform] A022582 27.4766 [17/(-x^2+1) ogf_with_Euler_transform] A022583 26.2875 [18/(-x^2+1) ogf_with_Euler_transform] A022584 26.8240 [19/(-x^2+1) ogf_with_Euler_transform] A022585 27.3605 [20/(-x^2+1) ogf_with_Euler_transform] A022586 26.0600 [21/(-x^2+1) ogf_with_Euler_transform] A022587 26.2719 [22/(-x^2+1) ogf_with_Euler_transform] A022588 26.9075 [23/(-x^2+1) ogf_with_Euler_transform] A022589 25.5020 [25/(-x^2+1) ogf_with_Euler_transform] A022590 26.0246 [26/(-x^2+1) ogf_with_Euler_transform] A022591 24.2131 [27/(-x^2+1) ogf_with_Euler_transform] A022592 24.4192 [28/(-x^2+1) ogf_with_Euler_transform] A022593 24.8314 [29/(-x^2+1) ogf_with_Euler_transform] A022594 25.0374 [30/(-x^2+1) ogf_with_Euler_transform] A022595 25.2435 [31/(-x^2+1) ogf_with_Euler_transform] A022596 25.6556 [32/(-x^2+1) ogf_with_Euler_transform] A022597 29.0233 [2/(x^2-1) ogf_with_Euler_transform] A022598 20.9707 [3/(x^2-1) ogf_with_Euler_transform] A022599 25.1861 [4/(x^2-1) ogf_with_Euler_transform] A022600 20.6173 [5/(x^2-1) ogf_with_Euler_transform] A022601 24.8874 [6/(x^2-1) ogf_with_Euler_transform] A022602 20.4072 [7/(x^2-1) ogf_with_Euler_transform] A022604 19.3204 [9/(x^2-1) ogf_with_Euler_transform] A022605 19.8849 [10/(x^2-1) ogf_with_Euler_transform] A022606 19.3314 [11/(x^2-1) ogf_with_Euler_transform] A022608 18.2208 [13/(x^2-1) ogf_with_Euler_transform] A022609 18.7505 [14/(x^2-1) ogf_with_Euler_transform] A022610 18.0813 [15/(x^2-1) ogf_with_Euler_transform] A022611 18.6039 [16/(x^2-1) ogf_with_Euler_transform] A022612 19.1265 [17/(x^2-1) ogf_with_Euler_transform] A022613 19.6491 [18/(x^2-1) ogf_with_Euler_transform] A022614 18.5462 [19/(x^2-1) ogf_with_Euler_transform] A022615 17.5567 [20/(x^2-1) ogf_with_Euler_transform] A022616 17.9627 [21/(x^2-1) ogf_with_Euler_transform] A022617 16.6762 [22/(x^2-1) ogf_with_Euler_transform] A022618 17.1755 [23/(x^2-1) ogf_with_Euler_transform] A022620 24.2591 [25/(x^2-1) ogf_with_Euler_transform] A022621 24.7888 [26/(x^2-1) ogf_with_Euler_transform] A022622 25.1066 [27/(x^2-1) ogf_with_Euler_transform] A022623 25.5303 [28/(x^2-1) ogf_with_Euler_transform] A022624 25.8481 [29/(x^2-1) ogf_with_Euler_transform] A022625 18.9730 [30/(x^2-1) ogf_with_Euler_transform] A022626 19.2725 [31/(x^2-1) ogf_with_Euler_transform] A022627 17.8629 [32/(x^2-1) ogf_with_Euler_transform] A022628 13.2133 [ 1/(x-1)/(5*x-1)/(11*x-1)/(8*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 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 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 8.12088 [{-a(n+2)+2*a(n+1)-a(n), a(0) = 2, a(1) = 1}, 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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] 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 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] A023004 32.0048 [5/(-x+1) ogf_with_Euler_transform] A023005 30.4404 [6/(-x+1) ogf_with_Euler_transform] A023006 38.8163 [7/(-x+1) ogf_with_Euler_transform] A023007 29.9262 [8/(-x+1) ogf_with_Euler_transform] A023008 29.3229 [9/(-x+1) ogf_with_Euler_transform] A023009 29.0723 [10/(-x+1) ogf_with_Euler_transform] A023010 28.1033 [11/(-x+1) ogf_with_Euler_transform] A023011 27.6246 [13/(-x+1) ogf_with_Euler_transform] A023012 24.2528 [14/(-x+1) ogf_with_Euler_transform] A023013 24.7283 [15/(-x+1) ogf_with_Euler_transform] A023014 27.4958 [16/(-x+1) ogf_with_Euler_transform] A023015 27.9782 [17/(-x+1) ogf_with_Euler_transform] A023016 24.0049 [18/(-x+1) ogf_with_Euler_transform] A023017 24.7075 [19/(-x+1) ogf_with_Euler_transform] A023018 24.7075 [20/(-x+1) ogf_with_Euler_transform] A023019 23.2745 [21/(-x+1) ogf_with_Euler_transform] A023020 23.3897 [22/(-x+1) ogf_with_Euler_transform] A023021 28.6516 [23/(-x+1) ogf_with_Euler_transform] A023038 15.1089 [ -(6*x-1)/(x^2-12*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 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 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] 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 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] 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] A023431 17.7586 1/2/x^2*(-1-x+(1+x^2+2*x+4*x^3)^(1/2)) revogf 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 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 8.12088 [{-a(n+2)+2*a(n+1)-a(n), a(0) = -2, a(1) = -1}, 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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] 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 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] 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] 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] 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] 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 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] 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] 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 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] 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] 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 5.73077 [{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 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 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 4.39165 [{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 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] A024050 11.7148 -2*(-2+3*x+15*x^3)/(5*x-1)/(x-1)/(6*x^2-3*x+1) lgdogf 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 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 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 4.78266 [{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 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] 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 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 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] 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 4.76231 [{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 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] 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 4.96714 [{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 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 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 4.92432 [{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 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] 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 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 9.80291 -1/24*(-13*x-11+(11*x^2+26*x+11)^(1/2)*11^(1/2))/x revogf 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 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 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 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 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] 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 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 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 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] 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] 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 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 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 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 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 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 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 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 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 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 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 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] 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] 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] 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] A024484 7.80637 (-1+(-x+1)^(1/2))*(x-1) revogf 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] 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] 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] 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] 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 6.77600 [{-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] 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] 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 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 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 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 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 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 92.2396 -3/(x-1) lgdogf 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 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 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 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 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 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 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 8.89941 [{-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 8.41563 [{-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 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] 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] 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 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] 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 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] 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 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 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 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 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 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 33.1315 1-(1-x+x^2)^(1/2) revogf 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] 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 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 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 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 17.4363 -1/3+1/3*x+1/3*(-(2*x+1)*(x-1))^(1/2) revogf 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 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] A025250 17.5007 -1/2*(-1-x^2+(1-2*x^2+x^4+4*x)^(1/2))/(x-1) revogf A025251 17.3475 -1/2*(-1-x^2+(1-2*x^2+x^4+8*x)^(1/2))/(-2+x) revogf A025253 16.7201 -1/2*(-2-x^2+(4-4*x^2+x^4+4*x)^(1/2))/(-1+2*x) revogf 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 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 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 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 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 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] A025440 13.2072 [ 1/(6*x-1)/(3*x-1)/(2*x-1)/(4*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 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 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 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 7.48932 [{a(n+2)-12*a(n+1)+27*a(n), a(0) = 1, a(1) = 6}, 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] 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] 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] 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] 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 6.68130 [ (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] 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 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 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] 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 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 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 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 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 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 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] 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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] 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 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 A026011 10.5745 [-(2*x^2+2*x+2)/(-x^4+2*x^2-1) ogf_with_Euler_transform] 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 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 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 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] 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 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 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] 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 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] 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 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] 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] 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] 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] 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] 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] 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 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] 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 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] 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 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 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] 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 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 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 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 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] 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] 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 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 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 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] 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 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 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 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 6.10888 [{-a(n+3)+2*a(n+2)-a(n), a(0) = 2, a(1) = 5, a(2) = 11}, 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] 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] 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 6.92876 [{a(n+3)-a(n+2)-5*a(n+1)+5*a(n), a(0) = 3, a(1) = 7, a(2) = 17}, ogf] A026397 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] 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] 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 A026532 10.1528 [{a(n+2)-6*a(n), a(0) = 1, a(1) = 3}, 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] 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 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 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 5.68751 [{-a(n+3)+a(n+2)+6*a(n+1)-6*a(n), a(0) = 3, a(1) = 9, a(2) = 21}, ogf] A026561 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 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] 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 5.95667 [{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] 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] 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] 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 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] 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] 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] 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 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] 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] 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] 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] 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] 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] 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] 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 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 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] 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 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 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 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] 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] 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 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 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 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] 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 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 6.77283 [{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 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] 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] 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] 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 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 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 6.94319 [{-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 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 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 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] 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] 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] 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] A027114 12.7641 [ (2*x^2+3*x+3)/(x-1)/(x^3+x^2+x-1) 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 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] A027151 11.8257 [ -(3*x+1)*(x^2+1)/(3*x^4+6*x^2-1) 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] 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 5.81083 [{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] 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] 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 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] 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] 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 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 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 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] 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] 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] 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] 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 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 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] 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] 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] 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 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 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 83.4792 -3/(x-1) lgdogf 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 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] 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] 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] 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 40.0959 -45/(-1+15*x) lgdogf A027480 14.1536 [ 3*x/(x-1)^4 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 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 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 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] 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] 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 6.72963 [{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] 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 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 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] 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 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 6.89870 [{-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 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 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] 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 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] 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] 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] 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 6.81742 [{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 [{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] 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] 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 A027849 13.9035 -2*(10+37*x+13*x^2)/(x-1)/(13*x^2+16*x+1) lgdogf 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 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] A027906 9.99547 [-(4*x^2+4*x+4)/(-x^4+2*x^2-1) ogf_with_Euler_transform] 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] 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] 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 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 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] 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 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 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 5.75123 [{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 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 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 [{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 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 5.75123 [{a(n+3)-3*a(n+2)+a(n+1)+2*a(n), a(0) = 1, a(1) = 5, a(2) = 14}, ogf] A027984 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 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] A027993 15.7446 -2*(3-7*x+6*x^3)/(2*x-1)/(x-1)/(3*x^2-1) lgdogf 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 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 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 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 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 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 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 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 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 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 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 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 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] 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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] 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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] 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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] 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] 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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] 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 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 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 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 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 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 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 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] 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 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 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] 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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] 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 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 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 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 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 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 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 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 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 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 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] A028231 10.7963 [ (2*x^2-7*x-1)/(x-1)/(x^2-14*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] 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 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] 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] 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 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 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 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 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 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 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 7.36996 [{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 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] 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] 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 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 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 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] 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 8.88101 [{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 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 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] 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] 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] 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 6.80652 [{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 8.51558 [{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 6.66594 [{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 6.64082 [{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 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] 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] 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 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] 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 6.71221 [{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 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 6.75465 [{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 6.78035 [{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 6.78035 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n), a(0) = 1, a(1) = 8, a(2) = 17}, ogf] A028892 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 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 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] 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] 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] 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] 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] 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] A029552 15.2332 [-(-3*x^2+2*x-3)/(-x^4+1) ogf_with_Euler_transform] 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 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] 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 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 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] 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] 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 7.07488 [{a(n+2)-40*a(n+1)+144*a(n), a(0) = 6, a(1) = 120}, 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] 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] 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] 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 9.95271 [ -(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] 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] 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] 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] A029839 16.0885 [-(-2*x+2)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A029840 11.7094 [-(-3*x+3)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A029841 11.9228 [-(-4*x+4)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A029842 11.8547 [-(-5*x+5)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A029843 11.3775 [-(-6*x+6)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A029844 11.4131 [-(-7*x+7)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A029845 13.1486 [-(-8*x+8)/(-x^3-x^2-x-1) ogf_with_Euler_transform] 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] A029862 18.2767 [-(-3*x-1)/(-x^2+1) ogf_with_Euler_transform] 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] 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 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 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] 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] 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] 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] 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] 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 9.13857 [{-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 8.79777 [{-a(n+2)+6*a(n+1)-6*a(n), a(0) = 1, a(1) = 6}, 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] 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] 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] A030212 12.4103 [-(-10*x^3-4*x^2-6*x-4)/(x^4-1) ogf_with_Euler_transform] 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 8.87528 [{-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 9.40986 [ (x-1)*(2*x^2+1)/(x^3-x^2+3*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 8.90938 [{-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] 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 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 7.42608 [ (93*x^3-196*x^2+153*x-42)/(x-1)^4 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 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 8.74127 -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] 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 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 [{-a(n+3)+a(n+2)+a(n+1)-a(n), a(0) = 0, a(1) = 2, a(2) = 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] 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 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] 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 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] 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] 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 A030981 34.7716 x/(1+x+3*x^2+x^3) revogf 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] 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 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] 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 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 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 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 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 5.79877 [{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 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 5.85452 [{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 5.88240 [{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 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 5.91028 [{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 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 5.96604 [{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 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 5.99392 [{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 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 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 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 5.77642 [{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 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 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 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 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 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 5.83118 [{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 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 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 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 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 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 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 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 5.91331 [{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 5.93911 [{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 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 5.68725 [{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 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 5.74301 [{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 5.94068 [{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 5.74301 [{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 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 5.77089 [{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 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 5.79877 [{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 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 5.85452 [{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 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 5.85452 [{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 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 5.88240 [{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 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 5.88240 [{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 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 5.91028 [{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 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 5.91028 [{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 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 5.96604 [{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 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 5.96604 [{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 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 5.99392 [{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 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 5.99392 [{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 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 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 A031997 4.93527 [ (5849160*x^8-5534076*x^7-315084*x^6-10*x^2+1)/(10*x-1)/(x-1) ogf] 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 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 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 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] 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 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 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 4.85347 [{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 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 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 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 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 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 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] 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 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] 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 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] 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 8.23590 [ x*(x+1)/(10*x-1)/(x-1)^3 ogf] A032349 32.7866 x*(-1+x)^2/(x+1)^2 revogf 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] 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] 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 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 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 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 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] 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 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] 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 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 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] A033123 12.9910 [ (x^2+1)/(x-1)/(5*x-1)/(x^2+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] A033125 12.5268 [ (x^2+1)/(x-1)/(7*x-1)/(x^2+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] 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] 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 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] 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] 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] 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] A033134 13.5306 [ (x+1)/(x-1)/(7*x-1)/(x^2+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 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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 5.96767 -(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 5.83422 (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 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 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] 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] 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] 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 5.95982 [{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 A033322 118.213 1/(x+2) lgdogf 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] 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] 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 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] 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] 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] 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 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] 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 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 8.54310 [{-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] 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] 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] 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] A033536 6.52298 [1/8/x-1/8/x*hypergeom([-1/2, -1/2, -1/2],[1, 1],64*x) 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] 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] 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 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 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] 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 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 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 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 7.37751 [{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 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 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 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 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 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 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 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 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 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 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 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 7.38380 [{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] 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] 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] 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] 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] 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] 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 [{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 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 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 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 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] 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 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] A033714 10.5068 [ -(100*x^2-11*x+1)/(x-1)/(10*x-1)^2 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] 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] 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] 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] 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] 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 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] 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 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 7.26278 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n), a(0) = 3, a(1) = 8, a(2) = 17}, ogf] A033817 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 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 7.37913 [{(4*n+14)*a(n+1)+(-n-3)*a(n+2), a(0) = 3, a(1) = 15}, 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 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 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 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 8.66999 [{-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 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 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 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] 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 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 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 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 7.32216 [{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] 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 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 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 9.45591 [ (x-1)^4/(2*x-1)^2 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 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 6.89679 [{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 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 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] 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] 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 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] 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 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] 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 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 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 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] 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] 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 7.86712 [{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 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 7.19987 [{a(n+2)-6*a(n+1)+5*a(n), a(0) = 1, a(1) = 3}, 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 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 6.86826 [{a(n+2)-8*a(n+1)+7*a(n), a(0) = 1, a(1) = 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 4.90740 [{-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 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 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] 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 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 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 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 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] 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 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 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] 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] 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] 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] 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] 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] 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] 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] 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] A034952 12.9874 [-(-6*x^3-2*x^2-2*x-2)/(x^4-1) ogf_with_Euler_transform] 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] 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] 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] 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] 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 93.4417 -3/(x-1) lgdogf 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] 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 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] 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] 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 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 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 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] 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 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] 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] 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] 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 5.41802 [{-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] A035329 14.4228 -2*(33-22*x+5*x^2)/(x-1)/(5*x^2-18*x+21) lgdogf 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] 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] 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] A035451 34.3970 [1/(-x^4+1) ogf_with_Euler_transform] A035457 25.6140 [x/(-x^4+1) ogf_with_Euler_transform] 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 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] 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 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] 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 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 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] 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] 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] A036070 14.1115 1/4*(-1+(1+16*x)^(1/4))/(1+16*x)^(1/4) revogf 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 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 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 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] 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 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 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 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] 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 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 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 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 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 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 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 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 7.77241 [{-a(n+2)+4*a(n+1)-3*a(n), a(0) = 1, a(1) = 9}, 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 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 7.61966 [{-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 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 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 7.02844 [{-a(n+2)+4*a(n+1)-3*a(n), a(0) = 1, a(1) = 257}, 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 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 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 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] 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 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 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 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 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 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 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 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] A036800 17.3765 -3*(-3+4*x^2)/(x-1)/(2*x+1)/(-1+2*x) lgdogf 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] 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] 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] 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] 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 7.48495 [{-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] 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] 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] A037156 5.04245 [{a(n+2)-110*a(n+1)+1000*a(n), a(0) = 1, a(1) = 55}, 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] 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] 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] 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] A037236 20.9063 -4*(3+x+x^2)/(x-1)/(2*x^2+3) lgdogf 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 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] 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] 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 5.64032 [{-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] 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] A037484 10.0457 -(-9-2*x+28*x^3+19*x^2)/(x-1)/(1+2*x)/(7*x-1)/(x+1) lgdogf A037484 4.63814 [{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 4.31020 [{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 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 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] 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] 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] 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] 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] 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 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 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 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 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 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 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 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 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 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 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 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] 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] 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] 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] 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 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 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 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 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 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 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 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 9.34989 [ (x^2+2)/(x-1)/(7*x-1)/(x^2+x+1) 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 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 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] 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] 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] A037523 10.6829 [ (x+2)/(x-1)/(6*x-1)/(x^2+x+1) ogf] A037524 10.1667 [ (x+2)/(x-1)/(7*x-1)/(x^2+x+1) 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 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 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] 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 9.28185 [ (x^2+x+2)/(x-1)/(6*x-1)/(x^2+x+1) 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 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 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 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 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 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 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 9.28185 [ (x^2+2*x+2)/(x-1)/(6*x-1)/(x^2+x+1) 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 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 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 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 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 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 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 9.28185 [ (2*x^2+x+2)/(x-1)/(6*x-1)/(x^2+x+1) 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 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 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 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] 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 5.55293 [{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] 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 6.37188 [{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] 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 6.27436 [{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 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] 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] 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] 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] 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 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 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 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 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 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 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 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 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 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 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] 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] 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] 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 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 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 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 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 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 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 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 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 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 5.36745 -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 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 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 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 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 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 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 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 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 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 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 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 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 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 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] 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] A037627 10.6829 [ (3*x+2)/(x-1)/(6*x-1)/(x^2+x+1) ogf] A037628 10.1667 [ (3*x+2)/(x-1)/(7*x-1)/(x^2+x+1) 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 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 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 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 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 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 9.28185 [ (3*x^2+x+2)/(x-1)/(6*x-1)/(x^2+x+1) 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 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 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 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 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 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 9.28185 [ (x+2)*(x+1)/(x-1)/(6*x-1)/(x^2+x+1) 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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] 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] 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] A037663 10.3333 [ (x+3)/(x-1)/(7*x-1)/(x^2+x+1) 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 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 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 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] A037668 11.0866 [ (2*x+3)/(x-1)/(5*x-1)/(x^2+x+1) 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 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 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 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 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 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 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 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 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 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 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 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 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 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] 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 A037712 11.9081 [ (2*x+1)/(x-1)/(7*x-1)/(x^2+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 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 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 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 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 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] 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 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 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] 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 9.28185 [ (x+2)/(6*x-1)/(x-1)/(x^2+1) 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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] 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] 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] 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] 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 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] 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] 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 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] 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] 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 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 [{-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 8.66517 [-(3*x^2-10*x+6)/(x^3-5*x^2+6*x-1) lgdogf] 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 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] 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 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 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 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 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 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 5.11988 [{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 7.45262 [-(-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] 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 8.69863 [-(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] A038608 115.215 -2/(x+1) lgdogf 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 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 6.61821 [-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] 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 [ x^4*(x^2-2)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] 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] 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 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] 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 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 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 6.90587 [{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 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] 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 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 6.64906 [{-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 6.67723 [{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 7.14905 [{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] 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] 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] 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] 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 6.33361 [{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 6.65874 [{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 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 6.86260 [-(-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 5.91486 [{-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] 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 5.74377 [{-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 5.55019 [{-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 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 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] 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 6.70864 [{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 7.55756 [{-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 8.90729 [{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 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 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 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 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] A040005 11.3294 [-(x^2+8*x+1)/(2*x^4+x^3-x-2) lgdogf] 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 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] A040008 11.1551 [-(2*x^2+12*x+2)/(3*x^4+2*x^3-2*x-3) lgdogf] 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 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 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] A040015 11.3294 [-(x^2+8*x+1)/(2*x^4+x^3-x-2) lgdogf] 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 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 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] A040022 11.0232 [ -(5*x^2+8*x+5)*(x^2-x+1)/(x-1)/(x+1)/(x^2+1) 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 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 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 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] A040032 10.7642 [-(2*x^2+12*x+2)/(3*x^4+2*x^3-2*x-3) lgdogf] 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 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 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 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 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] A040048 10.7642 [-(2*x^2+28*x+2)/(7*x^4+2*x^3-2*x-7) lgdogf] 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 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 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 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] A040059 10.9324 [-(x^2+8*x+1)/(2*x^4+x^3-x-2) lgdogf] 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 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 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 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] A040074 10.7642 [-(2*x^2+12*x+2)/(3*x^4+2*x^3-2*x-3) lgdogf] 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 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 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 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] A040093 10.9978 [-(x^2+8*x+1)/(2*x^4+x^3-x-2) lgdogf] 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 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 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 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 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] 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] A040120 10.5054 [-(2*x^2+44*x+2)/(11*x^4+2*x^3-2*x-11) lgdogf] 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 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 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] 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 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 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 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 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 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 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 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 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] A040166 10.5321 [ -(13*x^4+2*x^3+2*x^2+2*x+13)/(x-1)/(x+1)/(x^2+1) ogf] A040166 7.82436 -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 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 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 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] A040185 12.8850 [-(x^2+8*x+1)/(2*x^4+x^3-x-2) lgdogf] 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 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 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] 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] 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] 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 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 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 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 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] A040212 12.2382 [-(2*x^2+12*x+2)/(3*x^4+2*x^3-2*x-3) lgdogf] 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 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 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 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 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 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 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 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 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 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] 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 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 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 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] 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 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 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 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 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] 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 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 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 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 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] 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] 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] A040302 12.6973 [ -(17*x^4+x^3+7*x^2+x+17)/(x-1)/(x+1)/(x^2+1) 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 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 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 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 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] A040308 12.2382 [-(2*x^2+12*x+2)/(3*x^4+2*x^3-2*x-3) lgdogf] 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 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 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 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] A040317 12.6868 [-(x^2+24*x+1)/(6*x^4+x^3-x-6) lgdogf] 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] 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 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 9.58885 [{-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 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] 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 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] 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 9.57465 -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 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] 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] A040375 12.6973 [ -(19*x^4+x^3+6*x^2+x+19)/(x-1)/(x+1)/(x^2+1) 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 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 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 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 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] 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 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 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 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] 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] 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] 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] A040414 12.6973 [ -(20*x^4+x^3+5*x^2+x+20)/(x-1)/(x+1)/(x^2+1) 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 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 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 9.58885 [{-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 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] A040422 12.2382 [-(2*x^2+12*x+2)/(3*x^4+2*x^3-2*x-3) lgdogf] 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 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 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 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] 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 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] 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 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 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 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 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] A040465 12.4294 [-(x^2+8*x+1)/(2*x^4+x^3-x-2) lgdogf] 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 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] 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] A040483 12.3081 [-(x^2+44*x+1)/(11*x^4+x^3-x-11) lgdogf] 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 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 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 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] 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 8.87220 -(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 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] 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] 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] A040546 12.6973 [ -(23*x^4+x^3+6*x^2+x+23)/(x-1)/(x+1)/(x^2+1) 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 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 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 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 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 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] A040554 12.2382 [-(2*x^2+12*x+2)/(3*x^4+2*x^3-2*x-3) lgdogf] 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 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 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 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 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 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 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] 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 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 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 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 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] 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 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 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 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 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 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] 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 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 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 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 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] A040653 12.4294 [-(x^2+8*x+1)/(2*x^4+x^3-x-2) lgdogf] 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 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] 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 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] 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] A040696 12.6973 [ -(26*x^4+x^3+7*x^2+x+26)/(x-1)/(x+1)/(x^2+1) 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 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 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 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 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] A040704 12.2382 [-(2*x^2+12*x+2)/(3*x^4+2*x^3-2*x-3) lgdogf] 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 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 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] 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 8.87220 -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] 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] 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 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 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 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 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 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 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] A040759 12.4294 [-(x^2+8*x+1)/(2*x^4+x^3-x-2) lgdogf] 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 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 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 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 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 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 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 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 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 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 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] 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 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 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 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 8.87220 -(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 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] 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] 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] 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] 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 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 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 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 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 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 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 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] A040872 12.2382 [-(2*x^2+12*x+2)/(3*x^4+2*x^3-2*x-3) lgdogf] 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 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 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 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 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 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 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 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 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 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 9.58885 [{-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 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] 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] 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] A040955 12.6973 [ -(31*x^4+2*x^3+2*x^2+2*x+31)/(x-1)/(x+1)/(x^2+1) 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 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 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 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 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 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 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 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 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 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 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 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 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 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 8.39100 [{-a(n+2)+8*a(n+1)+a(n), a(0) = 1, a(1) = 8}, 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 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 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 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 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 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 6.60656 [{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 8.30958 [{-a(n+2)+10*a(n+1)+a(n), a(0) = 1, a(1) = 10}, 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 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 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 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 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 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 6.37473 [{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 8.55923 [{-a(n+2)+12*a(n+1)+a(n), a(0) = 1, a(1) = 12}, 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] 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] 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] 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 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] 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 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] 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 8.55289 [{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 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 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] 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 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] 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 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 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 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] 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 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 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 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 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] 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 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] 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 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 5.90826 [{-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 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] 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] 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 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] 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 7.95439 [ -(x+1)*(x^2-10*x-9)/(x^2+6*x-1)/(x^2-6*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 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] 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 6.44788 [{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 6.94811 [{-a(n+2)+20*a(n+1)+a(n), a(0) = 1, a(1) = 20}, 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 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 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 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 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] A041198 10.7514 [ -(x+1)*(x^2-11*x-10)/(x^4-42*x^2+1) 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] 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 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] 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 7.57719 [{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 8.15498 [{-a(n+2)+22*a(n+1)+a(n), a(0) = 1, a(1) = 22}, 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] 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 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] 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 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] 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 7.74191 [{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 7.31913 [{-a(n+2)+24*a(n+1)+a(n), a(0) = 1, a(1) = 24}, 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 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 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 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 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 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 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 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 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] 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 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] 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 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] 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 7.90663 [{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 7.45404 [{-a(n+2)+26*a(n+1)+a(n), a(0) = 1, a(1) = 26}, 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 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 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] 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 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] 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 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 6.63442 [{-a(n+2)+28*a(n+1)+a(n), a(0) = 1, a(1) = 28}, 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 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 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 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 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] 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 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] 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 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] 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 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 6.73343 [{-a(n+2)+30*a(n+1)+a(n), a(0) = 1, a(1) = 30}, ogf] A041422 6.94176 [ -(x^3-15*x^2-226*x-15)/(x^4-452*x^2+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 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] 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 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] 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 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 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] A041448 10.6779 [ -(x+1)*(x^2-16*x-15)/(x^2-8*x+1)/(x^2+8*x+1) 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] 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 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 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 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 7.99370 [{-a(n+2)+32*a(n+1)+a(n), a(0) = 1, a(1) = 32}, 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] 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 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 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] 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 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] 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 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] 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 7.44730 [{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 6.96448 [{-a(n+2)+34*a(n+1)+a(n), a(0) = 1, a(1) = 34}, 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 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 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] 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 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] 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 7.54402 [{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 7.09651 [{-a(n+2)+36*a(n+1)+a(n), a(0) = 1, a(1) = 36}, 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 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 9.05830 [ -(x^3-18*x^2-217*x-18)/(x^4-434*x^2+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 6.63663 [ -(x^3-18*x^2-163*x-18)/(x^2-18*x-1)/(x^2+18*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 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] 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 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 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] 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 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] 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 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 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 7.64074 [{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 7.16252 [{-a(n+2)+38*a(n+1)+a(n), a(0) = 1, a(1) = 38}, 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 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 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] 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 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] 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 6.70715 [{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 7.29455 [{-a(n+2)+40*a(n+1)+a(n), a(0) = 1, a(1) = 40}, 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 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 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 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 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 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 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 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 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 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 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] 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 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] 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 5.83048 [{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 7.32756 [{-a(n+2)+42*a(n+1)+a(n), a(0) = 1, a(1) = 42}, ogf] A041842 7.66645 [ -(x^3-21*x^2-442*x-21)/(x^4-884*x^2+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 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] 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 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] 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 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 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] 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 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] 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 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] 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 6.86459 [{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 7.42658 [{-a(n+2)+44*a(n+1)+a(n), a(0) = 1, a(1) = 44}, ogf] A041926 7.70459 [ -(x^3-22*x^2-485*x-22)/(x^4-970*x^2+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 7.09432 [ -(x^3-22*x^2-243*x-22)/(x^2-22*x-1)/(x^2+22*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 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] 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 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] 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 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] 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 6.87907 [{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 7.42658 [{-a(n+2)+46*a(n+1)+a(n), a(0) = 1, a(1) = 46}, 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 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 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] 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 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] 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 5.97580 [{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 7.59162 [{-a(n+2)+48*a(n+1)+a(n), a(0) = 1, a(1) = 48}, 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 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 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 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 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 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 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 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 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] 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] 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 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 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 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 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 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] 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 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 7.62462 [{-a(n+2)+50*a(n+1)+a(n), a(0) = 1, a(1) = 50}, 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 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 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 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 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] 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 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 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 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] 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 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 7.72364 [{-a(n+2)+52*a(n+1)+a(n), a(0) = 1, a(1) = 52}, ogf] A042302 7.89847 [ -(x^3-26*x^2-677*x-26)/(x^4-1354*x^2+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 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 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 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] 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 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] 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 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] 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 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 7.75665 [{-a(n+2)+54*a(n+1)+a(n), a(0) = 1, a(1) = 54}, ogf] A042406 7.97371 [ -(x^3-27*x^2-730*x-27)/(x^4-1460*x^2+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 7.70459 [ -(x^3-27*x^2-487*x-27)/(x^4-974*x^2+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 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 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 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 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 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] 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 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] 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 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] 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 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 7.78965 [{-a(n+2)+56*a(n+1)+a(n), a(0) = 1, a(1) = 56}, 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 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 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 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 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 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 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 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 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] 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 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] 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 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] 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 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 7.88868 [{-a(n+2)+58*a(n+1)+a(n), a(0) = 1, a(1) = 58}, ogf] A042626 6.96418 [ -(x^3-29*x^2-842*x-29)/(x^4-1684*x^2+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 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] 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 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] 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 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 7.95469 [{-a(n+2)+60*a(n+1)+a(n), a(0) = 1, a(1) = 60}, 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 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 7.78564 [ -(x^3-30*x^2-601*x-30)/(x^4-1202*x^2+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 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 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 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 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 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 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 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 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 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 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 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] A042778 10.3476 [ -(x^3-30*x^2-91*x-30)/(x^4-182*x^2+1) 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] 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 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] 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 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] 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 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 7.98770 [{-a(n+2)+62*a(n+1)+a(n), a(0) = 1, a(1) = 62}, 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 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 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] 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] A042950 10.5381 [{a(n+2)-2*a(n+1), a(0) = 2, a(1) = 3}, 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] 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 7.61223 [{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] 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 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 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 A043553 11.8674 -1/3*(-(10*x+1)^(1/3)+(x+1)^(1/3))/(10*x+1)^(1/3) revogf 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] 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] 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] 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] 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 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 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 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 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 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 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 7.97364 [{-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 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 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 9.90038 [{-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 9.77429 [{-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 7.97364 [{-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 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 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] 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] 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] 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 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] 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] 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] A045624 13.0665 1/4*((17*x+1)^(1/4)-(x+1)^(1/4))/(17*x+1)^(1/4) revogf 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 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] 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 8.13321 [3*x^2*hypergeom([7/3, 8/3],[9/2],27/4*x) 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 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] 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] A045828 15.3989 [-(3*x^2+x+2)/(-x^3-x^2-x-1) ogf_with_Euler_transform] 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] A045831 15.5668 [-(-3*x^2-2*x-1)/(x^3+x^2+x+1) ogf_with_Euler_transform] 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] 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] 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 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] 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] 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] 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] 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] 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 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 7.25341 [{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 6.98984 [{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 6.72486 [{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] 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] 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] 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] 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 [{a(n+3)-7*a(n+2)+7*a(n+1)-a(n), a(0) = 1, a(1) = 4, a(2) = 21}, 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] 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 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 5.25545 [{-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 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 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 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 6.02863 [{-a(n+2)+34*a(n+1)-a(n), a(0) = 1, a(1) = 35}, 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 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 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 5.68582 [{-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 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 3.76047 [{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 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 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 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 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] 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] 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 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 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 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 7.34320 [{a(n+2)-9*a(n+1)+8*a(n), a(0) = 1, a(1) = 5}, 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] A046648 19.3796 x*(x-1)^2 revogf 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 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] 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 6.81111 [{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 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] 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] 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 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 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] A046736 35.6225 x*(-1+x+x^2)/(-1+x) revogf 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] 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 7.80249 [{-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 A046895 10.6713 [-(x^3+5*x^2-3*x+9)/(-x^3-x^2-x-1) ogf_with_Euler_transform] 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 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 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 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] 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] 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 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 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 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 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] 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 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 A047099 36.6357 x*(x+1)^2/(2*x+1)^3 revogf 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] 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 [{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] 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] 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 7.30341 [{-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] 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 9.79946 [{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] 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 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 7.27477 [{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] 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] 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 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] 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 7.62782 [{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] 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] 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 5.95087 [{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 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 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 5.83310 [{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] 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] 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] 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 9.18652 [{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] 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 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] 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 5.93285 [{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] 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 7.84892 [{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] 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 7.84892 [{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] 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] 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] 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 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] 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] 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 5.85072 [{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] 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] 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] 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 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] 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] 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] 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] 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 5.83310 [{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] 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] 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 5.92089 [{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] 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] 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] 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] 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 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] 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 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] 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 5.82051 [{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] 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] 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] 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] 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] 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 5.82051 [{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] 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] 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] 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] 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 5.82020 [{-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 7.71345 [{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] 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 [{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] 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 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 7.03530 [{-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 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] 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 5.83773 [{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] 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 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 [{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 5.93788 [{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] 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 [{-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 5.80298 [{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] 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 5.83773 [{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] 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] 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 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] 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 5.82051 [{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] 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 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 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 5.82020 [{-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 5.80298 [{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] 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 [{-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] 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 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 5.82051 [{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] 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 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 7.64079 [{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] 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] 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 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 7.47409 [{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] 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 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 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 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] 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 7.33473 [{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] 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 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] 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 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] 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 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] 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 5.78967 [{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] 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 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 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 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] 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] 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 5.77223 [{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 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 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] 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 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 7.68179 [{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] 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 7.64989 [{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] A047465 11.9270 [ (4*x^3+2*x^2+x+1)/(x^2+x+1)/(x-1)^2 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 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 7.64538 [{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] 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 7.67753 [{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 7.64538 [{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] 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 7.61381 [{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] 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] 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] 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 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] 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] 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 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] 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 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] 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 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] 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 7.71426 [{-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 [{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] 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 7.64989 [{-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] 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] 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] 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 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 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 7.51002 [{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] 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] 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] 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 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] 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] 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] 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 8.75513 [{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] 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] 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] 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] 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] 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 7.51002 [{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] 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] 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 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] 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 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] 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 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] 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 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 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] 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] 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 7.64989 [{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] 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] 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] 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 7.47409 [{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] 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 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 A047657 11.8825 -1/6*(1-4*x)^(1/2)+2/3*(1-4*x)^(1/2)*x+1/6 revegf 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 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 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 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] 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 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 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] 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 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 8.93990 [{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 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 6.83161 [{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 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 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 5.57180 [{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 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 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 7.08483 [{-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] 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 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 6.77681 [{-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 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 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] 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] 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] 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 6.42546 [{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 5.32460 [{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 12.2690 -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] 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] 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 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 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 5.57333 [{-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 6.80720 [{-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 6.80774 [{-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 7.49763 [{-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] 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 6.71211 [{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 6.77230 [{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 6.77230 [{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 6.77230 [{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 6.86207 [{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 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 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 7.80228 [{-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 7.88441 [{-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 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 7.95170 [{-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 9.66138 [ (2*x^2-2*x+1)/(2*x-1)/(x-1)^3 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] 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 5.68259 [{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] 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 5.83135 [{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] 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 6.74220 [{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 6.77230 [{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 6.77230 [{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 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 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 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 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 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 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 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 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 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 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 8.84711 [{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 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 8.94996 [{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] 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 A048587 10.4814 [ -(4*x^3-5*x^2+8*x-6)/(x-1)/(x^3-x^2+2*x-1) 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 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 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] 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 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] 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 8.65916 [{a(n+3)-a(n+2)-a(n), a(0) = 6, a(1) = 9, a(2) = 13}, 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 6.79433 [{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 6.91352 [{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 6.99300 [{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 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 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 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 6.59289 [{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] 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] 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 [{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 [{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 5.68751 [{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 6.61541 [{a(n+3)-3*a(n+2)+a(n+1)+a(n), a(0) = 1, a(1) = 9, a(2) = 26}, ogf] A048772 4.18065 [{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 6.64598 [{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] 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 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] 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 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 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 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 6.38606 [{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 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 8.50033 [{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 3.74773 [{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 3.74773 [{-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 3.97989 [{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 3.95969 [{-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 5.91404 [{-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 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 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 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 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 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 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 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] 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] 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] 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 10.7262 -(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 A049124 26.0193 x*(-1+x+x^2)/(x-1)/(1+x) revogf A049125 31.7352 -x*(-1-x+x^2)/(1+x)^2 revogf A049126 22.5995 x*(3*x-1)*(x-1)/(1-3*x+x^3) revogf A049127 19.2733 x*(-1+2*x+x^2)/(-1+x+2*x^2+x^3) revogf A049128 32.1888 x*(x-1)^2/(1-x+x^3) revogf A049129 21.6442 x*(-1+3*x^2)/(-1-x+2*x^2+x^3) revogf 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 A049132 23.3274 x*(-1+3*x^2)/(-1-x+4*x^2+x^3) revogf A049133 35.5972 -x*(x-1)^2/(-1+x+x^3) revogf 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 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] 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 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 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 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] 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] 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 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] 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 8.39599 [{-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 5.65835 [{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 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 6.79761 [{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] 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 6.68285 [{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 6.71643 [{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] 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 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 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 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] A049612 25.5428 -(-5+2*x)/(-1+2*x)/(x-1) lgdogf 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 8.69311 [{-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 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] 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] 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] A049656 11.7835 [ -(11*x+4)/(x-1)/(x^2-47*x+1) 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 4.58285 [{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 3.98096 [{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 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 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 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] A049663 11.7717 [ -(3*x+1)/(x-1)/(x^2-18*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] 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 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] 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] 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] 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 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 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 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 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 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 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 7.59162 [{-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 7.82849 [{a(n+2)-47*a(n+1)+a(n), a(0) = 6, a(1) = 281}, 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 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] 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] 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] 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 6.21205 [{a(n+2)-7*a(n+1)+a(n), a(0) = 1, a(1) = 6}, 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 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 [{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] 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] 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 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] 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 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 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 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 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] 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 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 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 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 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 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 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] 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 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 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] A050253 16.0799 1/2/(1+x+x^2)*(-1+(1+4*x+4*x^2+4*x^3)^(1/2)) revogf 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] 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 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] 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] 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] 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 A050470 13.3343 [-(6*x^2+2*x+4)/(-x^3-x^2-x-1) ogf_with_Euler_transform] 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 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 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] 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] 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 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 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 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] 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 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 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 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] 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 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 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 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 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 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 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 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] 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 5.84481 [{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 5.26821 [{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 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 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 5.39748 [{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 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 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 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 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 6.70779 [{-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 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 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 5.85618 [{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 9.94964 [{-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] 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] 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 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] 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 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 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] 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 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] 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 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 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 5.50497 [{-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 5.95781 [{-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 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 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 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 5.85283 [{-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] 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 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 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 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 6.71693 [{(-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 5.97647 [{(-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 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 6.54852 [{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 8.29561 [{-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] 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] 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 5.87042 [{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] A051682 13.1451 [ -x*(8*x+1)/(x-1)^3 ogf] A051682 30.7465 -(11+16*x)/(8*x+1)/(x-1) lgdogf A051682 6.68991 [{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 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] 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 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 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 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 6.58210 [{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 6.61568 [{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 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 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 6.60767 [{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 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 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 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 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 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 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 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] 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] 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] 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] 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] 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 6.69359 [{-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 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 6.59168 [{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 6.55170 [{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 6.69359 [{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 6.60396 [{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 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 7.09817 [{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] 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 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] 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 7.10340 [{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] 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 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] 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 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 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 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 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] 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] 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 6.52559 [{-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] 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] 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] A052153 10.4786 [ -(4*x^2-5*x-1)/(x-1)^4 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] 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 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 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] 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 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 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] A052244 15.9548 -4*(-2+5*x)/(5*x-1)/(x-1) lgdogf 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] 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] 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 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] 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] 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 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] 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 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 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 6.75065 [ -(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 5.61042 -(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] 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] 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] 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 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 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 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 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] 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 9.39655 [ (x-1)^3/(x^3-3*x^2+4*x-1) 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 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 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] 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 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] 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] 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 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 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] 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] 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] 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 [{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 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] 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] 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] 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] 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 7.26564 [{-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 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] 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] 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] 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] 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] 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 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 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 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] A052566 12.7136 [ -(x+2)/(x-1)/(x+1) 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 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 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 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] 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 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 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 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 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] 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 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] 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] 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 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 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 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 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] 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] 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 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 8.83333 [ -(x-1)/(x^4-x^3-x^2-x+1) 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 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] 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] 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 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] 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] 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 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] 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] 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] 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 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 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 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 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] 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] 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 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 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] 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] 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 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 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] 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 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 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] 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] A052621 10.2018 [ -(x^3+x^2+x+2)/(x-1)/(x+1)/(x^2+1) 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] 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 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 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 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 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 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] 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 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] 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] A052633 25.0552 -(x-3)/(x-1)/(x^2-x-1) lgdegf 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 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 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 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 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] 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 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 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 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 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 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 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] 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 A052649 20.1400 -(-5+x)/(x-1)/(x-2)/(x+1) lgdegf 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] 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 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] 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] 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 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 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] 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 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 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 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] 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 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] 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] 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] A052667 15.9408 [ -1/(x^4+2*x-1) egf] A052667 20.5794 -2*(1+2*x^3)/(-1+2*x+x^4) lgdegf 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] 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] 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 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 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 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] 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 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 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] 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 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 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 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] 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 A052687 13.9801 -(-2-4*x+x^2+x^3)/(x-1)/(x+1)/(x^3-x-1) lgdegf 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 A052689 13.9801 -(-2-2*x-x^2+x^3)/(x-1)/(x+1)/(x^2-x-1) lgdegf 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 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] 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 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] A052694 10.6767 [ (x-1)*(2*x^3+x^2+x+1)/(2*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 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 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 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] 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 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] A052704 13.6260 8/(1-16*x)^(1/2)/(1+(1-16*x)^(1/2)) lgdogf 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] 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 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] 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] 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 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] 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 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 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] 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] 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] 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 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 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] 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] 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] 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 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] 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 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] 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 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 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 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 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 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 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 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 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 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] 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 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 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] 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] 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] 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 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] 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] 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] 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] 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 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 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 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] 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 6.83161 [{-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] 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] 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 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 7.53689 [{-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 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] 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] 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 6.66440 [{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 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] 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 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] 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] 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 6.92930 [{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 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] 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] 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] 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] 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 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] 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] 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 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] 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 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] 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] 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 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 6.46230 [{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] 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 6.97476 [{-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 6.28165 [{-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 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 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 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 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 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 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 6.97736 [{-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] 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] 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 6.06701 [{-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 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] 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 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] 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 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] 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 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] 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 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 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] 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] 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] 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] 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 7.68577 [{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 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] 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] 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 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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 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 [{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] 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] 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 9.59005 [{-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 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 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] 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 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 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 7.65795 [{-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 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] 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 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 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] 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 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] 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] A053481 11.8564 -(11-23*x+6*x^2+8*x^3)/(x-1)/(-1+2*x)/(2*x^2+x-2) lgdegf 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 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 6.88218 [{-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 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 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] 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] 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 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 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 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 7.70300 [{-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] 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] 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] 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 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] 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] 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] 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 5.89770 [{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 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 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 9.43821 [{-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 6.49057 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n), a(0) = 1, a(1) = 5, a(2) = 17}, 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] 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] 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 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] 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 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] A054121 16.0449 -3*(3+5*x+4*x^2)/(x-1)/(1+2*x)/(x^2+x+1) lgdogf 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] 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 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] 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 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 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 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 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 6.99178 [ (x-1)*(2*x^3-6*x^2+2*x-1)/(2*x^2-4*x+1)^2 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 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 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 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 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] 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] 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 5.61763 [{-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 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 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 8.78307 [{-a(n+2)+7*a(n+1)+a(n), a(0) = 1, a(1) = 7}, 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] 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 5.20997 [{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 5.33465 [{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 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] 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 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 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] 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 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 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 7.94512 [{-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 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 7.35140 [{-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 6.64113 [{-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 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 7.82885 [{-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 9.36273 [{-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] 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 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] 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 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 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 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 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 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 A054727 17.4579 1/2*(1+(1-4*x)^(1/2))*x/(1+x) revogf 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 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] 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] 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 5.95351 [{a(n+3)-a(n+2)-3*a(n+1)+2*a(n), a(0) = 1, a(1) = 0, a(2) = 2}, ogf] A054878 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 A054880 10.5536 [{a(n+2)-10*a(n+1)+9*a(n), a(0) = 0, a(1) = 6}, 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] 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 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 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] 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] 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] 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] 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 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 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] 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] 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 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 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] 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] 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 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 5.42924 [{(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 8.94620 [{-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 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 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] 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] 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] 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 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] 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 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 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 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 7.12993 [{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 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] 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 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 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] 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 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] 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] 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 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 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] 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 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] 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 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] 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 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] A055831 20.3786 -(2*x-3)*(x-5)/(x-1)/(x^2-5*x+5) lgdogf 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] 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 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 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] 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 6.63443 [{-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] 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] 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 7.66845 [{-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 7.61531 [{-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 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 6.64114 -(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 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 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 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 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] 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] A055997 12.3475 [ -(2*x^2-5*x+1)/(x-1)/(x^2-6*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] 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 7.29733 [{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 7.12644 [{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] 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 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 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] 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] 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 7.20921 [{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] 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 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 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] 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 7.18922 [{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 7.18922 [{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 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 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] 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 7.23176 [{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 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 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 7.69383 [{-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] 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 7.33707 [{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 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 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 7.22394 [{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 7.89018 [{a(n+2)-4*a(n+1)+2*a(n), a(0) = 2, a(1) = 4}, 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 5.98455 [{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 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 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 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 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 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 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 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 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 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] 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 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] 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 11.9435 [{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 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 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 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 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] 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 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 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 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 6.83245 [{a(n+2)-34*a(n+1)+a(n), a(0) = 1, a(1) = 17}, 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] 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 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 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 6.96611 [{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] 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 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 6.60656 [{a(n+2)-11*a(n+1)+a(n), a(0) = 2, a(1) = 11}, 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 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 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 7.48933 [{-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 6.91766 [{-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 7.86627 [{-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 7.05093 [{-a(n+2)+8*a(n+1)-8*a(n), a(0) = 1, a(1) = 8}, 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] 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 7.27526 [{-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 9.68917 [{-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 6.97785 [{-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 8.24248 [{-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 8.65089 [{-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 8.72515 [{-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 8.21182 [{-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 8.46812 [{-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 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 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 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 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 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 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] 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 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 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 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 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] 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] 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] 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 7.94512 [{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] 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] 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 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 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 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] 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 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] 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] 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] A058372 10.7255 [ (x^2-5*x+2)/(x-1)^4 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] 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 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 7.65466 [{-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 5.90843 [{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] 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 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 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] 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 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 4.68858 [{(-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 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 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] 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] 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 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 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] 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 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 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 5.87801 [{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] 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] 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] 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 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 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] 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 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 A059135 4.08669 [ -(10*x+11)/(2*x-1)/(x-1)^2 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 A059140 3.72996 [ (x-4)/(2*x-1)/(x-1)^2 ogf] A059142 4.01193 [ (4*x-11)/(2*x-1)/(x-1)^2 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 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 8.65348 [{-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] 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] A059160 10.7708 [-(5*x^4+5*x+5)/(-x^5-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] 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 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] 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] 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 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 5.39231 [{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] 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 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] 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 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 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] 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 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 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 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 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] 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 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 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 10.1434 -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 6.80025 [{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 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 7.42818 [ -(x-1)*(x^2-5*x+2)/(x^2-3*x+1)^2 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 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 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 8.03593 [ (x^3-x+1)/(x^2-3*x+1)^2 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 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] 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 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] 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 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 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] A059673 13.8128 -(11-23*x+8*x^3+6*x^2)/(x-1)/(-1+2*x)/(2*x^2+x-2) lgdogf 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 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 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 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] 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 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] 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] 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] 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 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 7.40141 [{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 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] 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 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] 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 5.19900 [{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 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] 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] 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 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] 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 [{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] 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 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 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 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 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 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 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] 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] 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] 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 [{-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 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] 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 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] A060365 22.2988 1/1000*ln(1+1000*x) revegf A060365 24.9222 -1000/(-1+1000*x) lgdogf 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 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 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 6.52884 [{-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 4.97713 [{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] A060483 10.5758 [ 3*(2*x+1)/(x-1)/(4*x-1)/(2*x-1)/(10*x-1) 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] 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 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 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] A060546 12.0890 [{-a(n+2)+2*a(n), a(0) = 2, a(1) = 2}, 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 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 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 11.9849 [{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 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 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 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 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] 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 [{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 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] 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 6.26559 [{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 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 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 6.38691 [{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 6.27160 [{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 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 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] 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 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] 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 7.20324 [{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 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 6.91026 [{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 7.93267 [{-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] 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] 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 [{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 4.68159 [{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 4.07659 [{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 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 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 7.34062 [{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 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] 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] 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 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] 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] 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] 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 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 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] 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 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] 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 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 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 7.24029 [{-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 5.63204 [{(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 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] 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] A061550 16.3546 -(35+35*x+x^3-7*x^2)/(x-1)/(x^3-5*x^2+15*x+5) lgdogf 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 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] 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] 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] 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 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] 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 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] 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 [{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] 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 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 6.70454 [{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 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 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 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 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 6.81961 [{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] 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] 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 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 6.38950 [{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 6.53644 [{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] 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 6.72212 [{-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 5.98746 [{(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] 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 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] 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 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 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 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 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 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 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] 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] 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] 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 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] 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 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 [{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 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 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] 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 5.30833 [{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 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 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 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] A062244 11.3181 [-(-x^6+x^5+2*x^4-2*x^2-x+1)/(x^8+x^4+1) ogf_with_Euler_transform] 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] 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 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 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 6.83531 [{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 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 6.83531 [{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 8.60017 [{-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 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 6.50756 [{-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 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 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 8.57982 [{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] A062725 14.1055 [ -x*(2*x+7)/(x-1)^3 ogf] A062725 34.4578 -(23+4*x)/(2*x+7)/(x-1) lgdogf 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 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 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n), a(0) = 0, a(1) = 3, a(2) = 15}, 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 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] 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 6.73085 [{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] 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] 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] 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 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 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 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 8.98922 [{-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] 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] 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] 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] 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] 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 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] 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 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 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 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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 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 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 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] 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 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 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] 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 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 9.24660 [ (x^4+x^3+6*x^2+5*x+3)/(x^2+x+1)/(x-1)^2 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 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] 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] 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 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] 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] 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] 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] 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] 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 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] 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 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 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] 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 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] 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 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] 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] 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 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] 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 [{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] 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] 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] 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] 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] 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 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 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 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 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 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] 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 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 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 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 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] A063498 19.0798 -2*(13-6*x+3*x^2)/(x-1)/(3*x^2-6*x+8) lgdogf 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 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 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 9.61285 [ x*(x^2+14*x+1)/(x-1)^4 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] 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 6.39826 [{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] 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] 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 7.73316 [{-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] 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] 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 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 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] 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] A063817 7.92169 [ (28*x^13+x^12+27*x+27)/(x^12-729*x+27) 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 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 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 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 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 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 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 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 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] 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] 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] 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 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 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 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 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] 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 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] 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] 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] 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] A064096 11.8759 -2*(7+32*x+x^3+20*x^2)/(x-1)/(1+2*x)/(x^2+8*x+1) lgdogf 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 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 12.8911 -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] 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 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 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 6.43074 [{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 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 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] 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] 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 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 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 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] 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] 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] 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] 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] 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] 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 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 5.96292 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 5.86387 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 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] 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 5.99530 [{-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 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] 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] 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 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 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 5.15277 [{-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 5.91530 [{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 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] 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] 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 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 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 5.42268 [{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 5.54536 [{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 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 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 4.89076 [{-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 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 4.84137 [{-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 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 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 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 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] 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] 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] 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] 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 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] 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 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] 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 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 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] 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 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 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 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 [{-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] 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] 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] 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] 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 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] 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] 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 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 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] 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 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] 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 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] 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 5.22582 [{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 5.22582 [{-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 5.63758 [{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 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 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 7.51960 [{-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 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 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 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] 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] 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 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] 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 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] 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] 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] A066138 10.3035 [ -3*(370*x^2-74*x+1)/(x-1)/(100*x-1)/(10*x-1) 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 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 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 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 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 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 7.84287 [{-a(n+2)+4*a(n+1)-4*a(n), a(0) = 2, a(1) = 7}, 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] 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 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 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 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 6.88218 [{a(n+2)-10*a(n+1)+9*a(n), a(0) = 1, a(1) = 7}, 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] 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] 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 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 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 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 8.43596 [{-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 8.50033 [{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] 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] 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] 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] 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] 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 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 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] 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] 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 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] 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 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 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] 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] A067332 16.5394 -2*(3*x+4)*(x+1)/(2*x+3)/(x^2+x-1) lgdogf 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 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 9.55959 [ (5*x+8)/(x^2+x-1)^2 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 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 6.87134 [{-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 6.79326 [{-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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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] A067482 19.6999 1/1024*ln(1+256*x) revegf A067482 20.8588 -1024/(-1+1024*x) lgdogf A067484 11.9748 1/10077696*ln(1+1679616*x) revegf A067488 10.0900 [ -(128*x^2+16*x+1)/(1024*x^3-1) 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] A067490 3.66809 [ (1162144876643701751808*x^13-24211351596743786496*x^12-16*x-1)/(1549526502191602335744*x^13-24211351596743786496*x^12+1024*x^2-1) 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] 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] A067499 20.8154 8-12*f(x)+6*f(x)^2-f(x)^3 lgdegf 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] 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 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] 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] 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] 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] 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] 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] 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] 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 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 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 7.24954 [{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 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 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 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 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 7.27814 [{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 8.83332 [{-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 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 8.98719 [{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 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 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 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 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 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 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 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 7.87374 [ (11*x+18)*(2*x+1)/(x^2+x-1)^2 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 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 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 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 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] 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] 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 8.85083 [{a(n+3)-a(n+2)+a(n+1)-a(n), a(0) = 1, a(1) = 2, a(2) = 3}, 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] 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 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 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 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] 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] 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 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] 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] 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] A068397 10.1569 [ -(4*x^3+3*x^2-4*x-1)/(x-1)/(x+1)/(x^2+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 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] 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 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] 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 5.25815 [ (3928064*x^4+492844*x^3+52124*x^2+124*x-7)/(100*x-1) 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 7.08654 [{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 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 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 20.1437 1/6-1/6*(1-12*x+48*x^2)^(1/2) revogf 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 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 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 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 16.0253 1/16-1/16*(1-32*x+288*x^2)^(1/2) revogf 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 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 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 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] 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] 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] 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 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] 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] 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] 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 [{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] 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 6.52453 [{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 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 7.55653 [{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 6.92853 [{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] 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 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 7.09349 [{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 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 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 4.14708 [{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 4.20675 [{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 7.12648 [{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 7.22546 [{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] 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 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 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 10.9818 [{-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] 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 6.64440 [{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] 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] 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 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 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 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 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 6.89611 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n), a(0) = 390, a(1) = 750, a(2) = 1230}, ogf] A069478 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 4.80018 [{-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 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 4.54878 [{-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] 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 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 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] 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] A069723 6.46960 [{(-8*n-4)*a(n)+(n+1)*a(n+1), a(0) = 1, a(1) = 2}, 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] 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] 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] 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 10.3787 [{-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 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] 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 6.61541 [{-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 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 6.73460 [{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 6.91182 [{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 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 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 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 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 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] 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] 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] 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] 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 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 6.54381 [{-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 6.67996 [{-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] 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 6.24458 [{-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 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 8.44732 [{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 8.55768 [{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 11.3588 -(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] 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 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] 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] 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 [{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] 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] 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] 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 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 11.3588 -(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 8.13510 [{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] 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 8.35190 [{a(n+3)-a(n+2)+a(n+1)-a(n), a(0) = 1, a(1) = 6, a(2) = 36}, 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 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 11.4973 -(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 8.35190 [{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 8.35190 [{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 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 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 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] 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 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 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 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 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] 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 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 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 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 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 7.78159 [{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] 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 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 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 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] A071230 19.0305 -(13+43*x+16*x^2)/(x-1)/(8*x+1)/(x+1) lgdogf 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] 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 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 7.51053 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n), a(0) = 3, a(1) = 12, a(2) = 25}, ogf] A071356 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 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 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] 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 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] A071683 10.1114 [ -(13*x^3+55*x^2+1)/(x^2+4*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 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] 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] 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] 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 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 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 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] 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 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] 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] 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] 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] 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] 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 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 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 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 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 6.77768 [{-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 6.32648 [{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 5.89897 [{-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 7.07425 [{a(n+2)-10*a(n+1)+a(n), a(0) = 1, a(1) = 1}, 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 4.46732 [{-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 5.95212 [{-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 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] 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 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 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 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 9.37404 [{-a(n+2)+a(n+1)+4*a(n), a(0) = 2, a(1) = 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 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 9.29445 [ (91*x^2-11*x+1)/(10*x-1)^2/(x-1)^2 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 3.89568 [{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] 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 11.9673 -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 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] 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] 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] 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 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 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] 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 5.77974 [{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 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] 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 8.22216 [hypergeom([2/3, 4/3],[1/2],27/2*x) 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] A072988 11.0510 [{-a(n+3)+a(n+1), a(0) = 1, a(1) = 3, a(2) = 10}, 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 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 8.63418 [ -16*(1203263*x^3+1182187*x^2+1256273*x+1128061)/(x-1)/(x+1)/(x^2+1) 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 6.96754 [{-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 A073157 14.6584 -1/2-1/2*x^2+1/2*(1-2*x^2+x^4+4*x)^(1/2) revogf A073252 17.1770 [-(-2*x^2+2*x-2)/(-x^4+1) ogf_with_Euler_transform] 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 5.94429 [{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] 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 4.45923 [{-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 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] 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] 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] 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 7.60872 [{-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 6.89937 [{a(n+3)-4*a(n+2)+6*a(n+1)-2*a(n), a(0) = 3, a(1) = 4, a(2) = 4}, ogf] A073531 23.0846 9/(x+1) lgdegf 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 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 9.73598 [ (10*x^2-19*x+3)/(10*x-1)/(x-1) 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] 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 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] 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 7.15351 [{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] 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 [{-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] 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] 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] 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 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 7.13647 [{a(n+3)-a(n+2)-a(n+1)+a(n), a(0) = 24, a(1) = 48, a(2) = 96}, 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] 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 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 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] 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 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 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] A073996 12.2286 [ x*(6*x^2-3*x+1)/(4*x-1)/(2*x-1)/(4*x^2+1) ogf] A073997 11.6593 [ -(2*x^3-3*x^2+4*x-1)/(4*x-1)/(2*x-1)/(4*x^2+1) ogf] A073998 12.2286 [ -x*(2*x^2+5*x-2)/(4*x-1)/(2*x-1)/(4*x^2+1) ogf] A073999 12.8612 [ -x^2*(2*x-3)/(4*x-1)/(2*x-1)/(4*x^2+1) 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 A074059 21.9495 -ln(x+1)*x-ln(x+1)+2*x revegf 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 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 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 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 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 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 5.24087 [{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 9.46772 [{a(n+3)-1024*a(n), a(0) = 8, a(1) = 64, a(2) = 512}, 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 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 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 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] 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 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 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] 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 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] 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 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 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] 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 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 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 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 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 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] 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 5.29509 [{-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 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 4.99288 [{-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 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 4.90740 [{-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 5.23490 [{-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 5.29509 [{-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 4.68563 [{-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 4.99288 [{-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 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 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 4.68563 [{-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 4.99288 [{-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 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 4.90740 [{-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 4.71123 [{-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 4.99288 [{-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 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 4.89076 [{-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 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 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 4.89076 [{-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 5.28061 [{-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 4.91572 [{-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 4.94067 [{-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 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 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 4.68563 [{-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 4.99288 [{-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 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 4.90740 [{-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 5.25741 [{-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 4.68563 [{-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 4.99288 [{-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 5.27453 [{-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 4.89076 [{-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 4.71123 [{-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 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 5.27453 [{-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 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 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 5.25522 [{-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 4.84966 [{-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 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 4.87441 [{-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 4.85832 [{-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 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 4.68563 [{-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 4.99288 [{-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 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 4.84966 [{-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 4.95057 [{-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 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 4.84966 [{-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 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 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 4.84966 [{-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 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 4.83379 [{-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 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 4.67131 [{-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 4.95057 [{-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 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 4.80925 [{-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 4.98450 [{-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 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 4.83379 [{-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 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 4.83379 [{-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 4.85832 [{-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 4.94296 [{-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 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 4.83379 [{-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 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 4.83379 [{-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 4.85832 [{-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 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 4.85832 [{-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 4.85832 [{-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 4.88287 [{-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 5.21918 [{a(n+3)-7*a(n+2)+5*a(n+1)-a(n), a(0) = 0, a(1) = 2, a(2) = 13}, ogf] A074582 5.41548 [{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 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 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 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 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 6.75489 [{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 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 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 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 6.87255 [{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 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 6.75489 [{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 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 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 6.87255 [{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 6.75489 [{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 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 6.87255 [{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 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 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 6.94305 [{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 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 6.78953 [{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 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 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 6.85881 [{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 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 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 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] 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] 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 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 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 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 5.81349 [{-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 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 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 6.66702 [{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 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 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 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 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 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 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 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 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 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 6.61541 [{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] 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 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] 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 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 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 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 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 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 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 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] A075436 30.5369 1/4*x*(2+3*x)/(1+2*x)^2 revogf 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] 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 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] 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 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 7.87970 [{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 6.74942 [{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] 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] 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] 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 5.76919 [{-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 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 8.99093 [{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 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 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 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 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] A075912 10.6125 [ 1/(15*x-1)/(20*x-1)/(5*x-1)/(10*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] 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 [{-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] 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 9.67161 -16*(3-88*x+576*x^2)/(-1+16*x)/(-1+8*x)/(-1+24*x) lgdogf 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 [{-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] 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] 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 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 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 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 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 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 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] 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] 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] 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 5.84937 [{-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] 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 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] 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 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 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] 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] 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 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] 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 8.39587 [{-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] 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] 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 4.33662 [{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 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] 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] 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 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 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 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 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 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 9.78943 [ -(2*x-1)*(4*x^2+6*x+1)/(2*x^2-1)/(8*x^2-1) 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 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 3.42912 [{-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] 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 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 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 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 8.84223 [{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 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 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] 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 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 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] 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 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 6.77576 [{-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 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 6.63386 [{-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 6.70481 [{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 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 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 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 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 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 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] A077379 12.5005 [ x^2*(20*x^2-332*x+123)/(10*x-1)/(x-1) 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] 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 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 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 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 [{-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 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] 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] 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 5.96998 [{-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 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 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 [{-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 7.98293 [{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 6.37036 [{-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 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 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 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 6.71333 [{-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 6.85770 [{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 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 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 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] 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] 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] 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] 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] A077612 11.3762 [-(-5*x-1)/(-x^2+1) lgdegf] A077612 24.8805 -(1+5*x)/(x-1)/(x+1) lgdegf 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] 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] 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 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 7.79853 [{a(n+3)-a(n+2)+a(n+1)-a(n), a(0) = 0, a(1) = 2, a(2) = 6}, 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 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] 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] 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 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] 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] 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 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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 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] 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] 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 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] 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] 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] 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] 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] 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 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] 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 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 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 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] 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 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 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 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 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] 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] 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] 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] 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] 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] 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 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 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] 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] 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 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 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 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 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 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 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] 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 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] 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 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 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] 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] 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 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 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 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] 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] 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] 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] 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 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 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 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] 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] 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 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 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] 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 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] 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 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] 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 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] 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] 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 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 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] 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 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 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 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 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 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] 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] 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 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 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 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] 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 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 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 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 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 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 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 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 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 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 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] A077957 12.7067 [{a(n+2)-2*a(n), a(0) = 1, a(1) = 0}, 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 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 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 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 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 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] 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 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] 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] 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] 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] 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] 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 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] 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] 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] 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] 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] 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] 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] 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] 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 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] 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] 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] 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] 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] 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] 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] 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] 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 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] 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] 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] 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] 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] 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] 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] 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] 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] 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 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] 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] A078012 11.8178 [-(-2*x^3+3*x^2)/(-x^4+x^3-x^2+2*x-1) lgdogf] 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 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 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 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] 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] 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 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] A078020 10.7424 [{-a(n+2)+a(n+1)-2*a(n), a(0) = 1, a(1) = 0}, 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] 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] 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] 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] 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 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] 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] 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] 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 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 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 9.54318 [{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] A078033 10.6360 [-(4*x^3-5*x^2-2*x-1)/(2*x^4-x^3-x^2+x-1) lgdogf] 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] 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] 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] A078037 11.4502 [-(4*x^3-4*x^2-4*x-1)/(2*x^4-2*x^2+x-1) lgdogf] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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 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] 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] 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] 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 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 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] 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 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 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 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] 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] 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] 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 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] 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] 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 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] 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] 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 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] A078100 10.9995 [ -(4*x^2-9*x+4)/(6*x^3-15*x^2+9*x-1) 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 4.87014 [{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 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] 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 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] 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 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] 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] 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 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 5.57819 [{-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 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 [{-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 5.77623 [{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 [{-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 5.97427 [{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] 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 [{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 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] 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] 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 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] 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] 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 7.86742 [-(-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 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 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] 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 9.68783 [{-a(n+2)+a(n+1)+a(n), a(0) = 4, a(1) = 6}, 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 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 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 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] 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 7.42300 [{-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 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 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 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 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 9.47451 [{-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] 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 6.60656 [{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] 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] 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 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 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] 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 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 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] 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 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] 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 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] 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 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 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] 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 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 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 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 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 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] 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 5.48425 [{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 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 6.32855 [{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 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] 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 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 5.48604 [ (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 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 6.22411 [{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] 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 5.74089 [{-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] 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] 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 9.05883 [-(-4*x^3-7*x^2-4*x)/(-2*x^4-5*x^3-6*x^2-4*x-1) lgdogf] 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] 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] 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 9.43313 [{-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 7.81480 [{-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 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 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 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] 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 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 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] 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 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 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 7.91805 [{-a(n+2)+2*a(n+1)+2*a(n), a(0) = 2, a(1) = 2}, 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 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 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] 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 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 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 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] 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] 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 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 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] 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 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 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] 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 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 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 [{-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] 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 6.68616 [-(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 6.76770 [-(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 6.76770 [-(-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 6.76770 [-(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 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 A080486 4.66879 [{-a(n+3)+100*a(n+2), a(0) = 1, a(1) = 11, a(2) = 121}, 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 3.95735 [{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 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 3.95735 [{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 3.95735 [{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 3.95735 [{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 5.47822 [-(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 5.61691 [-(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 5.68892 [-(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] 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 7.29628 [{a(n+3)-a(n+2)-a(n+1)+a(n), a(0) = 1, a(1) = 2, a(2) = 2}, 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 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] 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] 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] 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] 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 7.22747 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n), a(0) = 2, a(1) = 11, a(2) = 26}, ogf] A080674 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 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 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 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 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] 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 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 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 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 6.70414 [{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 6.90449 [{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 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 6.63351 [{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 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] A080873 10.0373 [ -(3*x^3+8*x^2-x-1)/(x^4-10*x^2+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 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 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 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 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 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 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 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 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 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] 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 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 [{-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] 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 5.66498 [{-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 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 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] 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] A080957 11.3926 [ (6*x^2-9*x+5)/(x-1)^4 ogf] A080957 11.3926 [-(-12*x^2+15*x-11)/(-6*x^3+15*x^2-14*x+5) lgdogf] 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] 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 7.64754 [{-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 6.96939 [{-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 6.69634 [{-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] A080966 15.6117 [-(-3*x^3+2*x^2-4*x+2)/(x^4-1) ogf_with_Euler_transform] 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 5.49630 [{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 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 6.29150 [{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 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 5.85077 [{-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 6.23728 [{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 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 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 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 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 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 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 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 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 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 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 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 5.31417 [{-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 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 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 6.89346 [{-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 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 6.52884 [{-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] 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 7.48005 [{-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 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 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 6.97829 [{-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 7.47171 [{-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 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 6.52884 [{-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 5.92998 [{-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 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 5.81338 [{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 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 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 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 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 5.20997 [{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 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 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 5.28195 [{-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 4.89033 [{-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 5.09800 [{-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 5.20997 [{-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 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 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 6.92265 [{-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] 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] 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 7.48932 [{-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 6.75489 [{-a(n+2)+18*a(n+1)-81*a(n), a(0) = 1, a(1) = 10}, 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 6.45292 [{-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] 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] 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 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 A081137 14.0812 -21/(-1+7*x) lgdogf 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] 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 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 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] 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 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 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 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 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 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 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] 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] 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] 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 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 6.99514 [{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 6.74039 [{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 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 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 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 7.64754 [{-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 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 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] 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 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 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] A081207 14.8350 -(-2+x^3+x^4-3*x^2)/(x+1)/(x^2+x+1)/(x^2-3*x+1) lgdogf 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 [{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] 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 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 6.43638 [{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 7.17870 [{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 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 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 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 7.15351 [{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 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 6.69823 [{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 5.55468 [{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 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] 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 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 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 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 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 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 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 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 6.80025 [{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 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 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] A081362 35.0584 [1/(x^2-1) ogf_with_Euler_transform] 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 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 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] 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] 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] 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] 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] 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] 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] 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 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 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 8.34238 [-2*x^2-8*x-10+(4*x^4+32*x^3+105*x^2+164*x+100)^(1/2) revogf] 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] 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 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 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 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 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 7.66872 [{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 6.96939 [{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 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 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] 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] 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 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 6.88998 [{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 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 6.71048 [{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 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 6.69823 [{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 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 6.58798 [{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 6.71653 [{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] 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 6.85934 [{-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 6.63340 [{-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 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 8.99156 [{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 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] 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 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 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 6.94299 [{-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 6.66907 [{-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 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] 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] 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 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 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] 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] 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 [{-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 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 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] 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 8.91080 [{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 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] 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 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 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 5.44414 [{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 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 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 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 [{(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 3.61822 [{(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 4.92519 [{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 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 5.25070 [{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 5.48710 [{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 4.94409 [{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 5.28921 [{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 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 4.48033 [{-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 4.24336 [{-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 3.80565 [{-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 7.87269 [{-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] 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] A082035 16.3206 -(7+14*x+3*x^2)/(x-1)/(3*x+1)/(x+1) lgdegf A082035 9.55736 [ -(x+1)*(3*x+1)/(x-1)^3 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 6.96152 [{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 6.66587 [{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 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 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 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 7.37398 [{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 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 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 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 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 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 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 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] 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 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 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 A082204 10.3260 [{-a(n+4)+a(n+1), a(0) = 1, a(1) = 2, a(2) = 2, a(3) = 3}, 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 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 3.87353 [ -4*(1264313*x^2-2273550*x-864)/(x-1)^2 ogf] A082253 2.99032 [ -(121280400*x^3-222157188*x^2-130844*x-2469)/(x-1)^2 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 9.87846 [{-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 9.92573 [{-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 4.94947 [{-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 7.14652 [{a(n+3)-a(n+2)-a(n+1)+a(n), a(0) = 12, a(1) = 20, a(2) = 34}, 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 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 A082303 15.0168 [-(x^2+x+1)/(-x^4+1) ogf_with_Euler_transform] A082304 17.4019 [-(2*x^2+2*x+2)/(-x^4+1) ogf_with_Euler_transform] 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 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 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 3.73004 [{-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 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 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 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 7.47128 [{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 A082367 30.2799 -x*(x-1)/(1+8*x) revogf 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 9.82221 [{-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] 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] 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] A082411 10.4448 [ (331045545867*x-407389224418)/(x^2+x-1) 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 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 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 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 7.50812 [{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 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 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] A082557 28.6887 [32/(-x+1) ogf_with_Euler_transform] A082558 24.3458 [48/(-x+1) ogf_with_Euler_transform] A082559 26.2357 [64/(-x+1) ogf_with_Euler_transform] 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] 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 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] 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 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] 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] 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] 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 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] 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] 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 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 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 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 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 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 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 6.88218 [{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] 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 6.48711 [{-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 7.94512 [{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] 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] 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] 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] 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] 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 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 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 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 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 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 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] 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 7.75982 [{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 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 5.99974 [{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 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 8.60399 [{a(n+2)+4*a(n+1)-5*a(n), a(0) = 1, a(1) = -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 7.96870 [{-a(n+2)+2*a(n+1)+6*a(n), a(0) = 1, a(1) = 1}, 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 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 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 7.32873 [{-a(n+2)+2*a(n+1)+10*a(n), a(0) = 1, a(1) = 2}, 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] 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 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 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 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 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 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 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 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 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 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 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 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 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 7.01439 [{-a(n+2)+6*a(n+1)+7*a(n), a(0) = 1, a(1) = 5}, 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 6.80025 [{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 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] 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 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 8.27316 [{-a(n+2)-2*a(n+1)+24*a(n), a(0) = 1, a(1) = 2}, 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 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 6.92988 [{-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 7.36300 [{-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 6.96611 [{-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] A083314 10.3917 [ -(7*x^2-5*x+1)/(x-1)/(3*x-1)/(4*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 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 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] A083319 10.4422 [ -(2*x^2-4*x+1)/(3*x-1)/(2*x-1)/(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 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] A083322 13.2499 [ -(2*x^2+1)/(x^2-x+1)/(x+1)/(2*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 5.68005 [{-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 5.66522 [{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 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 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 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 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] 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 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 5.35603 [{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 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 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 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 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] A083337 13.8081 1/4*(-3-2*x+(3+4*x+4*x^2)^(1/2)*3^(1/2))/x revogf 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] 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] 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 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 8.95006 [{-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 6.85934 [{-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 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 7.86761 [{-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 8.95280 [{-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 6.92988 [{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 5.57513 [{-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 4.66345 [{-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] 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 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 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 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 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 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 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 8.45934 [{a(n+2)-a(n+1)-2*a(n), a(0) = 1, a(1) = 7}, 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 7.64754 [{-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 6.92265 [{-a(n+2)+7*a(n+1)-10*a(n), a(0) = 1, a(1) = 10}, 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 9.05028 [ -(10*x^3-2*x^2-3*x+1)/(3*x-1)/(2*x-1)^2 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] 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 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] 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 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 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 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 7.57106 [{-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 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 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 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 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 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 9.23649 [{-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] 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 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 6.93058 [{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 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] 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 2.99903 [{-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 7.81800 [{-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 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 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 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 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] 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 7.45635 [{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 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 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 7.76224 [{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 6.96939 [{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 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 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 7.39389 [{-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 6.17402 [{-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 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] 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] 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 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 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 7.49459 [{-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 7.67118 [{-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 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] 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 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 A084078 17.0137 -1/2*(-x-3+(x^2+6*x+1)^(1/2))*x/(1+x) revogf A084080 22.9928 x*(1+3*x+3*x^2)/(1+x)^4 revogf 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] 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 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 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 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] 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 8.85083 [{a(n+3)-a(n+2)+a(n+1)-a(n), a(0) = 1, a(1) = 3, a(2) = 3}, 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] 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 8.85083 [{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 6.83161 [{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 8.60399 [{-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 7.61130 [{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 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 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 6.94133 [{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 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 5.80548 [{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] 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] 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] 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] 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] A084154 10.0750 [ -x*(2*x^2-2*x+1)/(2*x^2-1)/(2*x^2-4*x+1) 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 7.92347 [ -x*(5*x^2-4*x+1)/(7*x^2-6*x+1)/(x^2+2*x-1) 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 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] 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 9.58275 [ (x-1)^2/(x+1)/(x^2-6*x+1) 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] 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] 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 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 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 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] 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] 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] 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] 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] 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] 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] A084184 12.7180 [ x*(2*x^2+2*x+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) 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] 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] 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 6.51967 [{a(n+3)+3*a(n+2)-4*a(n), a(0) = 1, a(1) = -1, a(2) = 4}, 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 8.53368 [{-a(n+2)-2*a(n+1)+3*a(n), a(0) = 1, a(1) = 2}, 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 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 9.01005 [{-a(n+2)-5*a(n+1)-4*a(n), a(0) = 1, a(1) = 0}, 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 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 8.94491 [{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 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 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] 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 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] 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 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 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] 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] 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] 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 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 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 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 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 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 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 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] 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] 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] A084478 8.20142 [ -24*(15*x^2+10*x+3)/(380*x^4+280*x^3+103*x^2+2*x-1) 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] 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] 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 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 5.69052 [{-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 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] 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 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] 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] 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] 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] 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] 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 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] 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] 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 6.46314 [{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 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 5.25070 [{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 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 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 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] 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] 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] 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] 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] 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] 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 5.46008 [{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 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 [{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 6.23246 [{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 5.83335 [{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] 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 5.30597 [{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] 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 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 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 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] 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 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] 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 5.68704 [{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 5.32197 [{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] 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 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 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] 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] 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 6.58018 [{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 6.86452 [{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 6.99283 [{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 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 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] 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] A085140 19.7509 [-(x-2)/(-x^2+1) ogf_with_Euler_transform] 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 6.67441 [{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 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] 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] 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 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] 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 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] 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] 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 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 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 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 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 6.82266 [{-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 6.63340 [{-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 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] A085356 4.80191 [{(n^2+9*n+18)*a(n+1)-2*a(n+2), a(0) = 1, a(1) = 5}, 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 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 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 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] 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 8.93346 [ -x*(2*x+1)*(x-1)/(2*x-1)^4 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] 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 6.72212 [{-a(n+2)+6*a(n+1)+a(n), a(0) = 2, a(1) = 6}, 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 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 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 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 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 6.90449 [{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 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 7.44207 [{a(n+2)-3*a(n+1)-3*a(n), a(0) = 3, a(1) = 15}, 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 8.49771 [{a(n+2)-a(n+1)-5*a(n), a(0) = 1, a(1) = 11}, 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] 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] 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 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 5.37123 [{-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 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] 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 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 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 11.1846 [{-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 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 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] 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 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] 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] 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] 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] 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] 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 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] 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 9.73598 [ -(90*x^2-80*x-1)/(x-1)/(10*x-1) ogf] A085959 100.167 -2/(x-1) lgdogf 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 5.33360 [{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 5.11621 [{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 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 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 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] 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 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 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 6.34874 [{-a(n+3)+a(n+2)+a(n+1)+a(n), a(0) = 1, a(1) = 8, a(2) = 27}, 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 7.47001 [{-a(n+2)+6*a(n+1)-8*a(n), a(0) = 13, a(1) = 58}, 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 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 7.97730 [{-a(n+2)+3*a(n+1)-2*a(n), a(0) = 10, a(1) = 21}, 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 6.90802 [{-a(n+3)-a(n+2)+2*a(n+1)+2*a(n), a(0) = 1, a(1) = 3, a(2) = 3}, ogf] A086344 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 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] 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 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 7.64754 [{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 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 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] 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] 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 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] 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] 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 7.84892 [{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] 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 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 12.6370 -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 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 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 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 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 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 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 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 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 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 9.93829 [ x*(37*x^2+16*x+1)/(x-1)^4 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] 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] 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] 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 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 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 6.81961 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n), a(0) = 7, a(1) = 30, a(2) = 71}, ogf] A086644 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 5.78939 [{-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 6.08479 [{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 4.64393 [{-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 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 6.90032 [{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] 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 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 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 6.34354 [{-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 7.49459 [{-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] 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 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] 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 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 5.96998 [{-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] 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 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] 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 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 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] 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] 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 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 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] 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] 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] 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 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] 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 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 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] 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] 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] 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] 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 5.08916 [{(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 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] 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] 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] 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 6.90587 [{-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 7.73316 [{-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] A087138 34.3444 -1+exp(-x*(-1+x)) revegf A087152 30.8320 -1+exp(x/(x+1)^2) revegf 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] 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 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 9.56806 [{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 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 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 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 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 7.73316 [{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 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 6.73215 [{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 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 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 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 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 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 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 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 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 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] 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] 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 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 6.88518 [{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 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] 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 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] 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 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 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 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] 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] 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] 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 7.40629 [{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 7.40950 [{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 7.34086 [{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] 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] 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 7.86712 [{-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 8.60953 [{-a(n+2)+a(n+1)+12*a(n), a(0) = 2, a(1) = 1}, 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 9.62630 [{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 7.47750 [{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] 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 8.62002 [{-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 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 8.62625 [{-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 7.86339 [{-a(n+2)+10*a(n+1)+55*a(n), a(0) = 1, a(1) = 10}, 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 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 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 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] 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 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 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 6.96611 [{-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 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 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] 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] 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 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 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] 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] 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 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 5.42800 [{-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 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] 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 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 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 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 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 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 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 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] 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] 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] 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] 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 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 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 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 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 9.00127 [ (2*x^3+x^2-2*x+1)/(x^2+2*x-1)^2 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] 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] 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] 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 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 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 10.3787 [{-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] 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 6.72011 [{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] 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 6.48762 [{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 6.38374 [{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] 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 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] A088914 6.18761 [ -(x-1)*(x^2+12*x+1)/(x^2-3*x+1)/(x^2-18*x+1) 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 6.52884 [{-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 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 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 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 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] 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 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 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] 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 9.60386 [{-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 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] 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] 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] A089165 18.8360 -2*(2-5*x+x^2)/(x-1)/(x^2-6*x+1) lgdogf 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 8.70571 [{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] 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] 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 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 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 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 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] A089343 7.78174 [ 3*x*(115*x^2-11*x+4)/(10*x-1)^2/(x-1)^2 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 A089357 11.0366 [{a(n+1)-64*a(n), a(0) = 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 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] 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] 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] 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 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 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 6.28669 [{-a(n+2)+30*a(n+1)-144*a(n), a(0) = 1, a(1) = 30}, 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] 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 4.07471 [{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] 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] 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] 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 6.95289 [{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] 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 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 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] 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 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 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] A089799 21.9680 [-1/(-x-1) ogf_with_Euler_transform] A089800 18.3013 [x/(x^2+1) ogf_with_Euler_transform] 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] 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] 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] 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] 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 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 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 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 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 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 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 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 6.65134 [{-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] 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] 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] 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] 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 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 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] 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] 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] 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 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 6.83173 [{-a(n+2)+6*a(n+1)+3*a(n), a(0) = 1, a(1) = 6}, 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 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 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 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] 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 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 6.95437 [{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] 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] 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 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 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 6.88305 [{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 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 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] 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 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] 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 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 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 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 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 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 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 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 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 5.90826 [{-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 5.97427 [{-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 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 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 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] 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] 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 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 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 6.75287 [{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 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] 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] 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 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 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] 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] 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 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] 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 7.45279 [{-a(n+2)+7*a(n+1)+8*a(n), a(0) = 1, a(1) = 6}, 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 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 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 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] 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 6.54980 [{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 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] 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] 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 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 6.86548 [{-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 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 7.87970 [{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 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 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 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 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 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] 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] 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] 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] 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] 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] 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 6.52884 [{-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 8.01314 [{a(n+2)-a(n+1)-2*a(n), a(0) = 24, a(1) = 72}, ogf] A090932 13.5704 [ -2*(x+1)/(x^2-2) 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 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 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 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 9.41213 [{a(n+2)-a(n+1)-a(n), a(0) = 6, a(1) = 10}, 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 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 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 5.97395 [{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] 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] 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] 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] 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] 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 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] 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 4.43934 [{-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 4.71587 [{-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 6.56638 [{-a(n+2)+18*a(n+1)-17*a(n), a(0) = 1, a(1) = 18}, 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 5.40932 [{-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] 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] 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 8.37554 [{a(n+2)-a(n+1)-a(n), a(0) = 12, a(1) = 67}, 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] 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] 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] 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] 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] 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] 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] 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 7.98456 [{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] 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] 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] 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] 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 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 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] A091281 11.2113 [ -(8*x^2+10*x-1)/(15*x-1)/(24*x^2-1) 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] 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 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] 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] A091363 15.9874 -2*(4+7*x+x^2)/(x-1)/(x^2+4*x+1) lgdegf 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] 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] 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] 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] 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 3.67995 [{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 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 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] 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] 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 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] 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 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 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 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 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 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 7.95335 [ -(121*x^3-133*x^2+22*x-1)/(10*x-1)^2/(x-1)^2 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 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 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 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 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] 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 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 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 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] 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 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] 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 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 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 6.20608 [{a(n+2)-17*a(n+1)+16*a(n), a(0) = 1, a(1) = 6}, 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] 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] 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] 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 7.66872 [{-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 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] 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 6.90479 [{-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] 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 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] 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] 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 7.37981 [{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] 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] 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 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 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] 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 6.74942 [{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 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 6.96598 [{-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 6.96598 [{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] 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] 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] 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] 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 6.76440 [{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 7.44512 [{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 [{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 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 7.34142 [{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 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 [{-a(n+2)+a(n+1)+2*a(n), a(0) = 0, a(1) = 6}, 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 5.89168 [{-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] 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] 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 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] 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 7.48074 [{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 [{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] 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] 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] 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] 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] 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] 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] 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] 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 [{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 6.85934 [{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] 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 5.91465 [{-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] 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 6.60795 [{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] 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 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 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 5.16070 [{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] A092880 10.1300 [ -(14*x^2-7*x+1)/(3*x-1)/(2*x-1)/(4*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 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] 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] 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] 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] A092900 10.4630 [ (2*x^3-9*x^2+1)/(x-1)/(x+1)/(10*x^2-1) 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] 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] 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] 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 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 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 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 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 9.50539 [ x^2*(2*x+1)/(4*x^2+2*x-1)/(x^2-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 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 6.66168 [{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] 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 6.88218 [{-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 6.66365 [{-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] 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 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 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 7.43008 [{a(n+2)-10*a(n+1)+20*a(n), a(0) = 1, a(1) = 4}, 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 7.69390 [{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] 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 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] 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] 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 6.80025 [{a(n+2)-11*a(n+1)+10*a(n), a(0) = 1, a(1) = 3}, 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 6.80025 [{a(n+2)-11*a(n+1)+10*a(n), a(0) = 1, a(1) = 4}, 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 6.80025 [{a(n+2)-11*a(n+1)+10*a(n), a(0) = 1, a(1) = 5}, 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] 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] 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 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 6.53305 [{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 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] 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 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] 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] 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 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] 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] 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] 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 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 7.01886 [{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] 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] 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 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 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 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 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] 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] 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 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 6.77564 [{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 6.90098 [{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 7.99134 -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 7.53881 [{-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 5.73077 [{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] 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] 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 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 2.82040 [{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] 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] 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] 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 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 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 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] 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 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] 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] 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] A094026 11.2661 [ x*(10*x+1)/(x-1)/(x+1)/(10*x^2-1) 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 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 7.70322 -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] 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] 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 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 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 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 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 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 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 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] 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 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 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 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 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 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] 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 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 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] 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] 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 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 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 5.70887 [{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] 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] 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 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] 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 6.25071 [{-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 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 6.26639 [{-a(n+2)+10*a(n+1)+100*a(n), a(0) = 1, a(1) = 5}, 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 6.97299 [{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 5.52704 [{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] 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 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 5.12462 [{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] 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] 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 7.05438 [{a(n+2)-8*a(n+1)+9*a(n), a(0) = 1, a(1) = 2}, 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 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 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 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 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] 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] 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 6.15473 [{-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 6.51084 -(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 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 9.83810 [ -x*(2*x+1)*(x-1)/(x^2+x-1)^2 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 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 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 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 5.36123 [{-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 [{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 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 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] 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 5.51408 [{-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 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 9.38970 [{a(n+2)-10*a(n), a(0) = 2, a(1) = 11}, 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 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] 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 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 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 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 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] 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 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] 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] 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] 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 6.31369 [{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 7.49459 [{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 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] 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 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] 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] 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] 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 5.68681 [{-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 5.55471 [{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] 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] 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 5.29675 [{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] 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] 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 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] 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 5.60430 [{-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 5.78259 [{-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] 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] A094835 10.3723 -(1-2*x+2701*x^2)/(2701*x-1)/(x^2-2702*x+1) lgdogf 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 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 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 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 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] 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 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 4.76708 [{-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 6.07737 [{-a(n+2)+45*a(n+1)-324*a(n), a(0) = 1, a(1) = 63}, 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 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 5.46701 [{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 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] 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] 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 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] 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 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] 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] 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 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 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 5.50598 [{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] 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] 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] 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] 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 5.93424 [{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 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 5.31025 [{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] 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] 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] 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 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 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 5.68005 [{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 6.56255 [{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 7.81135 [{-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 7.41751 [{-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 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 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 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] 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] 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 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 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 6.96416 [{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 5.95963 [{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] 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 7.33591 [{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] A095796 12.6433 -2*(-13-33*x+3*x^2+x^3)/(x-1)/(2*x^3-22*x-1) lgdogf 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 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 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] 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 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 6.49972 [{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] A095929 11.6135 [ -(5*x^2-5*x+1)/(4*x-1)/(x^2-3*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] 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] 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] 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] 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] 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] 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] 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] 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 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] 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 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 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 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 7.59317 [{-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 6.97552 [{-a(n+2)+10*a(n+1)-9*a(n), a(0) = 1, a(1) = 15}, 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 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 6.90542 [{-a(n+2)+10*a(n+1)-9*a(n), a(0) = 1, a(1) = 13}, 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 5.99929 [ -(37*x^2-366*x-3)/(37*x^3+3984*x^2-153*x+1) ogf] 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 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 5.32256 [{-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] 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] 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] 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 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 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 7.43923 [{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] A096383 17.5990 -2*(20-19*x+5*x^2)/(x-1)/(5*x^2-16*x+14) lgdogf 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 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 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 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 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] A096740 14.7245 [-(x^21-x^11-x^10)/(-x^2+1) ogf_with_Euler_transform] 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 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 6.48902 [{-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 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 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 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] A096885 11.2886 [ -1/(x^2+100*x-1) ogf] A096885 16.7461 -2*(50+x)/(x^2-1+100*x) lgdogf 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 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] 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] 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] 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] 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] 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 6.26559 [{-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 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 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] 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] 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 7.79010 [{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] 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 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 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] 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] 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 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 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 7.97964 [{-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] 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] 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 9.03420 -1/8*(-14*x-3+(1+6*x)^(1/2)*(10*x+3)^(1/2)*3^(1/2))/x revogf 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 6.48902 [{a(n+3)-2*a(n+2)-a(n+1)+2*a(n), a(0) = 1, a(1) = 0, a(2) = 3}, ogf] A097073 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] 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 6.46580 [{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] 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] 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 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] A097111 10.5590 [ -(12*x^3+2*x^2-3*x-1)/(2*x-1)/(2*x+1)/(5*x^2-1) 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 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 5.90568 -(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 8.19665 [ -(392*x^3+42*x^2-8*x-1)/(7*x+1)/(7*x-1)/(50*x^2-1) 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] 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] 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] 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 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 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 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 [{-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] 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 5.86110 [{-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] 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] 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 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] 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] 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 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] 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] 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] 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 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] 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] 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] 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 6.52884 [{-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 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 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 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] 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] 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 7.73888 [{-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 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] 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 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] 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] 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] 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 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 5.96930 [{-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 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 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 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] 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] 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] 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] 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] 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 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 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 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] 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 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] 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 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 6.42261 [{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] 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] 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 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 7.44031 [{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 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 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 8.88838 [ -2*(12*x^3-45*x^2+64*x-43)/(x-1)^4 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 6.71333 [{-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] 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] 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 7.65181 [{-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 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 4.73866 [{-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 7.96671 [{-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 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 4.99871 [{-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 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 4.99871 [{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 5.22987 [{-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 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 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 5.46102 [{-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 6.59133 [{-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 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 5.60550 [{-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 6.77028 [{-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 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 5.74997 [{-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 6.94922 [{-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 5.74997 [{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 5.89444 [{-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 5.89444 [{-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 5.89444 [{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 4.87944 [{-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 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 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 4.99098 [{-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 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 4.99098 [{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 6.30435 [{-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 [{-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 6.60140 [{-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 6.70043 [{-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 8.30958 [{-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] 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 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 9.67717 [{-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] 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 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] 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 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] 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 4.48978 [{-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] 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] 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] 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] 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] 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] 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] 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] 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 6.60140 [{-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 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 6.60893 [{-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 6.60893 [{-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 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 7.31818 [{-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 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 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 8.99480 [{-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 7.74628 [{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 6.99658 [{-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 4.88314 [{-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] 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 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 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 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 9.22484 [{-a(n+2)+4*a(n+1)+a(n), a(0) = 2, a(1) = 7}, 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] 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] 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] 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 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] 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] 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 A098108 18.0971 [x^7/(x^8+1) ogf_with_Euler_transform] 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 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 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 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 8.04605 [{a(n+2)+3*a(n+1)+a(n), a(0) = -1, a(1) = -1}, 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] 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] 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] 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] 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] 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] 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 5.48934 [{a(n+3)-3*a(n+2)-a(n+1)-a(n), a(0) = 1, a(1) = 1, a(2) = 5}, 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 3.58676 [{-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 3.58676 [{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 6.07457 [{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 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 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 5.11429 [{-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 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 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 5.31655 [{-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 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 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 5.51881 [{-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 5.51881 [{-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 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 5.66328 [{-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 5.66328 [{-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 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 5.80776 [{-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 5.80776 [{-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 5.80776 [{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 4.82369 [{-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 4.82369 [{-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 4.82369 [{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 4.93521 [{-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 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 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] 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] 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 4.93521 [{-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 4.93521 [{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 9.37300 -(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] 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 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] 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 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 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] 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 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 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 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] 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] 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] 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] 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] 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 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 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 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] 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] 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] 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] 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] 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] 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] 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] A098347 10.1593 [ -(2*x^2-2*x-1)/(3*x^3-3*x^2-3*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] 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] 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] A098401 6.76356 [{(-12*n-6)*a(n)+(n+1)*a(n+1), a(0) = 1, a(1) = 3}, ogf] A098402 5.14067 [{(-16*n-8)*a(n)+(n+1)*a(n+1), a(0) = 1, a(1) = 4}, 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] 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 6.80025 [{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 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 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 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 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] 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] 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] 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] 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] 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] 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] 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] 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] 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 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] 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] 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] 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] 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 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 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 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 9.87846 [{-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] 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] 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] 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] 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] 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 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 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] 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] 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 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 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 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 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 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 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 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] A098581 13.2744 [ -(4*x^2+2*x+1)/(2*x-1)/(4*x^3+2*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] 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] 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] 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] 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 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] 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 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] 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 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 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] 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 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 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 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 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 5.90399 [{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] 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 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] 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 6.14022 [{-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 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 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 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 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 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] 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 5.74089 [{-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 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 7.76932 [{-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 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 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 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 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 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 5.98246 [{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 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 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 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 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 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] A098890 10.1818 [ -(x^2-22*x+1)/(x-1)/(x^2-34*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 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 6.62022 [{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 6.29461 [{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] 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 8.19512 [{-a(n+2)+3*a(n+1)-2*a(n), a(0) = 1, a(1) = 16}, 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] 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 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] 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 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] 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] 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] A099038 15.8471 -(-1+3*x+2*x^3-9*x^2)/(3*x^2+1-2*x+x^4-6*x^3) lgdogf 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 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] 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] 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] 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 9.73699 [{-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] 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 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 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 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] 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 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] 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] 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] 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 6.90542 [{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 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 5.96998 [{a(n+2)-16*a(n+1)+36*a(n), a(0) = 1, a(1) = 8}, 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] 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] 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 5.94429 [{-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] 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 5.97371 [{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] 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 [{-a(n+3)+4*a(n+2)-2*a(n+1)-3*a(n), a(0) = 1, a(1) = 4, a(2) = 15}, 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 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] 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] 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] 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] 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] 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] 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] 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 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 A099255 11.6878 [ -(3*x^3+6*x^2-6*x-7)/(x^2+x-1)/(x^2-x-1) 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] 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 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 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 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] 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 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 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 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 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 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 8.54764 [ -x*(x-1)/(x+1)/(x^2-18*x+1) 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 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] 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 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 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 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 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 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 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 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 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 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 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 5.84363 [{a(n+2)-66*a(n+1)+a(n), a(0) = 1, a(1) = 33}, 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 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 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 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] 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 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 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 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] 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] 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 6.27580 [{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 4.83211 [{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] 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] 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] A099445 10.3606 [ -(x-1)*(x+1)*(x^2+1)/(x^4-3*x^3+3*x^2-3*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 9.46748 [ (x^2+1)/(x^4-3*x^3+5*x^2-3*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 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 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 9.23954 [{-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 A099452 12.2039 [ -(x-1)*(x+1)*(x^2+1)/(x^4-5*x^3+9*x^2-5*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 7.22484 [{-a(n+2)+7*a(n+1)-11*a(n), a(0) = 1, a(1) = 7}, 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 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] 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 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 7.05438 [{-a(n+2)+7*a(n+1)-9*a(n), a(0) = 1, a(1) = 7}, 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] 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] 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] 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] 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 A099471 21.3698 -(2*x-1)*(x^2-x+3)/(x^2-x+1)/(x^2-x+2) lgdogf 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 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 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 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 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 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 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 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] 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] 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 9.80343 [ -(x^2-x-1)/(x^2+x+1)/(x^2-3*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 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] 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] 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] 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] 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 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] 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] A099578 13.3481 1/2*(-3+((12*x^2+4*x+1)*(5+6*x)^2)^(1/2))*x/(1+3*x)^3 revogf 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 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 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 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] 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 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 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] 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 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] 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 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] 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] 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] 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 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] 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 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 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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 5.97918 [{-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 7.09239 [{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] 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] 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] 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] 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] 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 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 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 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] 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 7.70331 [{a(n+2)+10*a(n+1)+5*a(n), a(0) = 1, a(1) = -11}, 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 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 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 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 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] 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 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 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 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] 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 6.52884 [{-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 6.52884 [{-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] 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] 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] 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 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 8.50891 [{a(n+3)-2*a(n+1)-a(n), a(0) = 3, a(1) = 0, a(2) = 4}, 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] 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 6.27098 [{-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 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 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 7.79369 [{-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 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] 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 [{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 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 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 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 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] 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 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] 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] 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 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] 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 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] 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] 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] 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] 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 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 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] 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 5.82173 [{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] 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] 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 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] 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] 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] 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] 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 9.51858 [ (53*x^2+58*x+1)/(x-1)^4 ogf] A100167 9.17689 [ (25*x^2+34*x+1)/(x-1)^4 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 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 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 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 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 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 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 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 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] A100179 15.3070 -(9+23*x+8*x^2)/(-1+x)/(4*x+1)/(x+1) lgdogf 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] A100183 15.7884 -4*(3+8*x+2*x^2)/(x-1)/(4*x^2+8*x+1) lgdogf 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 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 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 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 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 6.63153 [{a(n+3)-3*a(n+2)-3*a(n+1)+2*a(n), a(0) = 1, a(1) = 6, a(2) = 19}, ogf] 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] 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] 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] 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 6.37448 [{a(n+3)-4*a(n+2)+6*a(n+1)-4*a(n), a(0) = 1, a(1) = 4, a(2) = 9}, ogf] 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 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 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 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 [{-a(n+3)+3*a(n+2)-a(n+1)-a(n), a(0) = 1, a(1) = 1, a(2) = 5}, 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 5.61167 [{-a(n+3)+4*a(n+2)-2*a(n+1)-a(n), a(0) = 1, a(1) = 2, a(2) = 10}, ogf] A100231 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 6.55170 [{-a(n+3)+5*a(n+2)-3*a(n+1)-a(n), a(0) = 1, a(1) = 3, a(2) = 17}, ogf] A100234 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 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 9.10783 [{-a(n+2)+5*a(n+1)+a(n), a(0) = 1, a(1) = 4}, 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 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 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 5.57110 [{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] 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] 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 6.72262 [{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 5.88888 [{-a(n+3)+17*a(n+2)-14*a(n+1)+a(n), a(0) = 1, a(1) = 6, a(2) = 89}, 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 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 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 11.9874 [ (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 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] 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 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 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] 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 6.87033 [{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 6.87140 [{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] 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 A100327 26.8259 (1-x+(1-4*x)^(1/2))/(x+2)*x revogf A100328 12.9392 -(2*(1+4*x)^(1/2)+2*(1+4*x)^(1/2)*x-2-6*x-x^2)/x revogf 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] 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 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 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 A100401 11.8011 [{-a(n+3)+a(n+2), a(0) = 1, a(1) = 3, a(2) = 9}, 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 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 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] 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 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 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] 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] 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 [{-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] 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] 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] 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 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] 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 7.22747 [{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 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] 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] 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] 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 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] 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] 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] 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 9.82751 [{-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 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 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 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 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] 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] 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 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 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 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 5.68005 [{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 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] 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 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 4.33504 [{-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] 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] 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] A101106 13.1197 -(-3+3*x-9*x^2+2*x^3)/(3*x^2+1-6*x+x^4-6*x^3) lgdogf 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] 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 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] 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] 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] 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] 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 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 6.91538 [{-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] 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 6.58315 [{-a(n+2)+110*a(n+1)-1000*a(n), a(0) = 45, a(1) = 4905}, 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] 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 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 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] 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 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 [{-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 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] 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] 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 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 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 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 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 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 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 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 A101500 15.6817 -2*(-1+x-3*x^2+x^3)/(1+x^2)/(x^2-4*x+1) lgdogf 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] 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 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 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] 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 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] 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] A101617 10.5773 [ -(3*x+1)*(2*x^2-1)/(2*x+1)/(x-1)/(4*x^2-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 6.96152 [{a(n+3)-2*a(n+2)-a(n+1)+2*a(n), a(0) = 0, a(1) = 1, a(2) = 6}, 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 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 A101786 24.7188 x*(-1+2*x^2)/(2*x+1)/(x-1) revogf 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] A101825 10.3857 [{-a(n+4)+a(n+1), a(0) = 0, a(1) = 1, a(2) = 2, a(3) = 1}, 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 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 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 7.58778 [{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 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] 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 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 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 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 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 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] 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] 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 6.69415 [{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 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 6.87785 -(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 6.89270 [{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 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 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] 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 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] A102080 11.9642 [ -2*(2*x^3-4*x-1)/(x+1)/(x^3-x^2-3*x+1) 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 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 7.37958 [{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 6.54876 [{-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] A102105 11.3973 [ (2*x^2-3*x-1)/(x-1)/(3*x-1)/(5*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 6.46625 [{-a(n+3)+3*a(n+2)+5*a(n+1)+a(n), a(0) = 1, a(1) = 4, a(2) = 15}, ogf] A102147 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] 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 6.71803 [{-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] 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] 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 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 5.44351 [{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 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 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] 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] 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 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 6.92741 [{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 11.6257 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 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] 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 7.86712 [{-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 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 A102407 15.1464 1/2/(1+x)*(x-1+(-(x-1)*(4*x^2+3*x+1))^(1/2)) revogf 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] 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 8.66500 [{-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 9.49848 [{-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 9.20423 [{-a(n+2)+5*a(n+1)-6*a(n), a(0) = 1, a(1) = 7}, 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 A102518 14.9676 1/12+3/4*x-1/12*(1-6*x+81*x^2)^(1/2) revogf 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] 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 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 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 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] 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 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 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 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 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 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] 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 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 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] A102736 13.4808 -2*(1+x+x^3+2*x^2)/(x-1)/(1+x)/(x^2+x+1) lgdegf 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] 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] 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] 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 5.81349 [{-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] A102860 14.0788 [ 16*x/(x-1)^4 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 6.69074 [{-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] 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 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 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 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] 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] 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 7.67383 [{-a(n+2)+3*a(n+1)+4*a(n), a(0) = 1, a(1) = 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 6.92988 [{-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 7.56401 [{-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 7.94851 [{-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 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 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 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 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] 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 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 5.88188 [{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] 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 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 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 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 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 9.94800 [{-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] 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 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] 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 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] 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 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 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] 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 9.13356 [ x*(x+1)/(x^2-7*x+1)/(x-1)^2 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] 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] 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] 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] 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] 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] 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] 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] 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] 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 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] 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 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] 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 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 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 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 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 5.48609 [{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] 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 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] 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] 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] 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] 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 5.76305 [{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 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 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] 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] 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] A103878 7.44925 [ -x/(12*x-1)/(15*x-1)/(20*x-1)/(30*x-1)/(60*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 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 8.57690 [{-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 9.56084 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 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] A103971 19.5766 -1/8+1/8*(1-16*x^2+16*x)^(1/2) revogf 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] 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] 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 6.62204 [{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 6.32855 [{-a(n+3)+a(n+2)+3*a(n+1)-2*a(n), a(0) = 1, a(1) = -1, a(2) = 3}, ogf] A104008 8.12235 [ 120*(x+1)/(x^2-14*x+1)/(x^2-194*x+1) 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 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] 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 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 6.62693 [{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 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] 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] 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 9.87374 [{-a(n+2)+a(n+1)+a(n), a(0) = 3, a(1) = 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 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] 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] 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] 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 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] 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 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 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] 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 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 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 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 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] A104551 19.1159 -(1-4*x+8*x^2)/(x-1)/(1+4*x^2) lgdogf 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] 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 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] 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 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] 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] 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 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 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] 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] 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 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] 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] 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] 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 5.34154 [{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] 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] 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 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] 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] 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 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 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 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] 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] 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 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] 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 4.86149 [{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 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 7.86236 [{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] 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] 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 7.65728 [{-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 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 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 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 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] 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 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] 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] 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 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 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] 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] 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 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 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 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 21.4435 -(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 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 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] 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 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 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 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 7.99401 [{-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 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 7.86423 [{-a(n+3)-a(n+2)-a(n+1)+a(n), a(0) = -5, a(1) = 6, a(2) = 0}, 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 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 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] 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] 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 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 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] 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 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 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 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 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 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] 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] 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] 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 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 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 6.54504 [{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] 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] 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 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] A106184 16.3197 -2*(-1-4*x+24*x^2)/(-1+4*x)/(8*x^2-1) lgdogf A106185 16.1411 -2*(-1-6*x+36*x^2)/(-1+4*x)/(12*x^2-1) lgdogf 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] 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 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 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 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 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 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 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] 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 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] 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 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] 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 9.48600 [ (x+1)^3/(x^2-4*x+1)/(x^2+4*x+1) 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] 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] 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] 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] A106271 16.2688 -1/2*(-1-5*x-2*x^2+(1-6*x-3*x^2)^(1/2))/(x+2)^2 revogf 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 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 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 7.37387 [{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 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] 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 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 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 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 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] 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 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] 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] A106508 13.1178 [-(-4*x^3+4*x^2-6*x+4)/(x^4-1) ogf_with_Euler_transform] 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 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] 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 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] 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 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 6.36864 [{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 6.52474 [{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] 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 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] 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] 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] 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 6.94137 [{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] 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 7.22747 [{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 A106666 10.5681 [ -(2*x^3-4*x^2+1)/(x-1)/(2*x^3-2*x^2-2*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 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 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 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 8.18004 [{a(n+2)-3*a(n+1)+a(n), a(0) = 5, a(1) = 10}, 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 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 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] 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] 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] 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] 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 9.87846 [{-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 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 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 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] 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 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] A107034 10.0892 [-(-2*x^3-x^2-x-1)/(x^4-1) ogf_with_Euler_transform] 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 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] 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 5.64221 [{-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] 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 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 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 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 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 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 4.94533 [{-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 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 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 6.85380 [{-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] 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 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] 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 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 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 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 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] 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] 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 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 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 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 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] 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 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 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 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] 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 3.67537 [{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 6.98584 [{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 7.72718 [{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] 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] 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] 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 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 13.8954 (-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] 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] 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] 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 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 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 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 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 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 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 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 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 7.23756 [{a(n+2)-4*a(n+1)-2*a(n), a(0) = 2, a(1) = 9}, 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 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 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] 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 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 [{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 7.34618 [{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 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] 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] 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 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] 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] 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] 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 7.20328 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n), a(0) = 5, a(1) = 13, a(2) = 23}, ogf] A108196 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 6.67815 [{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 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] 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 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 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] 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 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 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] 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] 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] 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 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 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] A108413 11.3771 [ (2*x^3+5*x^2+x+1)/(x^4+4*x^2+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 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 A108434 14.0288 1/2/(x-1)^2*(1-2*x+(1-8*x+8*x^2)^(1/2))*x revogf 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 A108447 15.4552 -1/2*(1-x+((5*x-1)*(x-1))^(1/2))/(x-1)*x revogf 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] 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] 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] 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 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 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 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 8.06155 [ -(6*x^2+2*x-1)/(36*x^4-24*x^3-8*x^2-4*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 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 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 A108494 15.8615 [-(2*x^2-x+2)/(-x^4+1) ogf_with_Euler_transform] 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] 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 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 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] 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] 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 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 A108626 18.1523 -2*(-1+x+x^3)/(x-1)/(x^3+x^2+3*x-1) lgdogf 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 9.89885 [ -2*(x^3+x-1)/(x-1)/(x^3+x^2+3*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 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 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 9.40362 [{-a(n+2)+2*a(n), a(0) = 22, a(1) = 11}, 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 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 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] 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 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] 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 5.88188 [{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] 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] 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 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 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] A108903 10.1662 [ -(990*x-959)/(10*x-1)/(x-1) 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 5.82555 [{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 5.59674 [{-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 6.96152 [{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] 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] 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] A108961 10.3393 [-(x^6+x^5+x^4-x^3+x^2+x+1)/(x^8-1) ogf_with_Euler_transform] 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 7.34163 [{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 7.50143 [{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 7.38852 [{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 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 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 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 12.7074 -(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] 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] A109033 16.0620 1/2-x^2-1/2*(1+4*x^2+4*x^4-4*x)^(1/2) revogf 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] 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] A109081 32.6168 x*(x-1)^2/(1-x+x^2) revogf 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] 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 5.95947 [{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 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 6.60656 [{-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 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 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 6.16842 [{a(n+3)-2*a(n+2)-a(n+1)+a(n), a(0) = 4, a(1) = 9, a(2) = 20}, 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 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 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 7.72401 [{-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 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] 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] 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 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] A109222 10.7324 [ -(x-1)*(x+1)^2/(x^4-2*x^2-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 [{-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 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 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 9.46112 [{-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 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] 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 9.68691 [{a(n+3)-a(n+1)+a(n), a(0) = 1, a(1) = -1, a(2) = 0}, 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 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 7.65633 [{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 [{-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] 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] 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 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] 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 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] 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] 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] 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 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 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 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 7.59317 [{-a(n+2)+3*a(n+1)+4*a(n), a(0) = 5, a(1) = 11}, ogf] 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] 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] 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 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] 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 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] 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] 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] 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 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] 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] 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] 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 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] 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 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 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] 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] 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 8.96488 [ -(x-1)^3/(x^2-3*x+1)/(x^2-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] 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 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 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 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 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 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] 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 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 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 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 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 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 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 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 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] 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] 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] 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] 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] 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 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] 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] 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] 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] 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 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] 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 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 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 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 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 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 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] 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] 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 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 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 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 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 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] 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] 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 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] 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 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 6.52884 [ -(200*x^4+300*x^3+79*x^2-11*x-1)/(x-1)/(10*x-1)/(x+1) 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] 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] 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] 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 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 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 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] 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 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 6.92988 -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 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] 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] A110527 10.2866 [ -x*(5*x+1)/(x+1)/(x^2+4*x-1) 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 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 [{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] 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 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 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 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] 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 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 5.77078 [{-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] 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 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] 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] A110665 12.3371 [ -(2*x-1)*x/(x^2-x+1)^2 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 7.80452 [{-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] 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 6.86956 [ -9*x*(10*x^2-1)/(10*x-1)^2/(x-1)^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 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 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 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 6.95700 [{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] 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 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 5.66663 [{a(n+2)-2*a(n+1)-8*a(n), a(0) = 2, a(1) = 12}, 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 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 7.38633 [{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] 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 7.72387 [{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 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 5.76772 [{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 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] 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] 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 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] 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] 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] A111314 14.3074 [ (2*x^2-x+1)/(x-1)/(x^2+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] 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 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 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 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] 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 7.48005 [{-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 7.36378 [{-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] 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 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] 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 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 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 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 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 9.48943 [ -(x^3-x^2-3*x+1)/(x^2+4*x+1)/(x^2-2*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 A111643 10.4497 [ 2*(x+1)^2/(x^2+4*x+1)/(x^2-2*x-1) ogf] A111644 11.0928 [ -(x^2+1)/(x^2+4*x+1)/(x^2-2*x-1) ogf] A111645 10.4497 [ -(x+1)*(3*x-1)/(x^2+4*x+1)/(x^2-2*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 3.77967 [{-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] 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 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 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] 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] 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 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 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] A111932 18.2703 [-(4*x^2-2*x+2)/(-x^3-1) ogf_with_Euler_transform] 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] 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 [{-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 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 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] 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 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 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] 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 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] 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 5.72562 [{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] A112133 12.5488 [ -(23*x^3+24*x^2+12*x+1)/(x-1)/(x+1)/(x^2+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] A112143 16.6914 [-(4*x^2+4*x+4)/(-x^4+1) ogf_with_Euler_transform] A112150 16.1386 [-(-6*x^2+6*x-6)/(-x^4+1) ogf_with_Euler_transform] A112157 19.9389 [-(-2*x-2)/(x^3-1) ogf_with_Euler_transform] A112160 14.9061 [-(-4*x^2+4*x-4)/(-x^4+1) ogf_with_Euler_transform] A112161 14.7847 [-(-x^4-2*x^3-2*x-1)/(x^6-1) ogf_with_Euler_transform] 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] 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] 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] 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 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 6.49352 [{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] 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] A112301 7.87280 [-(-2*x^9-2*x^8+x^7-x-2)/(x^10-x^8+x^2-1) ogf_with_Euler_transform] 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] 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] 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] 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] 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 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] 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 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] A112483 32.5411 -x*(-1-x+x^2)/(1+2*x) revogf 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 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] 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] 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 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 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 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 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] 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] 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] 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] 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 7.36783 [{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] 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 7.29906 [{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] 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] 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 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 7.85434 [{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 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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 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 7.57106 [{a(n+2)-7*a(n+1)+9*a(n), a(0) = 1, a(1) = 2}, 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] 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 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 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 A113022 3.00594 [ (x^2+7*x-4)/(5*x-1)/(x-1)^2 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 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 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] 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] 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] 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] 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 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] A113180 17.9218 -2*(1-2*x+8*x^3)/(-4*x^2-1+4*x+8*x^4) lgdogf 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 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 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 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 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 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 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 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 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 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 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] 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 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 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 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 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 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 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] 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 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] 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] 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 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 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 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] 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 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] 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] 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] 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] 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] 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 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 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 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] 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] 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 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 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 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 7.24315 [{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] 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] 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 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] 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] 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] 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] 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 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 7.27646 [{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] 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] 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] 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 6.99193 [{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 6.99193 [{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] 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] A113841 10.1899 [ (4*x^2+2*x+1)/(4*x-1)/(x-1)/(16*x^2+4*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 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 [{-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 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 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 5.54765 [{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 5.66522 [{-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 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 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] 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] 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] 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 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] 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 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 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 6.49296 [{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 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 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 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 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 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 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 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 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 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] 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] 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 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 4.75584 [{-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 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 5.90117 -(-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 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] 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] 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 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 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 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 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] 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] 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 5.96275 [{a(n+4)-2*a(n+3)+a(n+2), a(0) = 1, a(1) = 322, a(2) = 1186, a(3) = 2110}, ogf] A114359 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 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] 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] 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 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 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 4.54523 [{-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] A114495 6.64918 [-I/x*(x-4)/(-1+4*x)^(1/2)/(x+2)-(3*x+4)/(x+2)/x lgdogf] 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 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 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 5.69533 [{-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 6.75055 [-(-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 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 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] 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 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 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 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] A114647 11.2476 [ -(3*x^2+4*x-3)/(x-1)/(x+1)/(x^2+2*x-1) 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 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 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 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 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 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] 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 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] 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 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 A114775 8.42162 [ -x^2*(x^2+1)*(x^7-x^4+1)/(x^6-x^4+1)/(x^6+x^4-1) ogf] 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 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 A114855 9.21034 [-(-3*x^2+x-2)/(x^3-x^2+x-1) ogf_with_Euler_transform] 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 7.24574 [{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 7.44612 [{-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 5.87801 [{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 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 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 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 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 9.97794 [-(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 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] 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 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 5.68276 [{-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] 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] A115054 26.1243 2*(x+2)^2*(x-1)^2/(x^3+6*x+2)/(x^2+x+1) lgdogf A115054 9.22321 [ (x^3+6*x+2)^2/(x^2+x+1)^2 ogf] 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] 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 7.36666 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n), a(0) = 0, a(1) = 4, a(2) = 11}, ogf] A115098 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 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 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] 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 8.48874 [-(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 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] A115140 11.6627 [-2/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdogf] A115140 22.1829 x*hypergeom([1/3,2/3],[3/2],27/4*x) revogf 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 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 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] 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 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 8.23033 [-(64*x^2-24*x+7)/(-96*x^4-80*x^3+30*x^2+11*x-3) lgdogf] 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 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 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 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 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 7.82885 [-(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 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 6.87858 [{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 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] 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] 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 6.60645 [{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] 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] 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] 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 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 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 [{-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 5.93660 [{-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 6.10886 [{-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 7.75665 [ 7*(256*x^2-108*x+5)/(4*x-1)/(2*x-1)/(16*x-1)/(32*x-1) 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] 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 5.86940 [{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 6.87827 [{-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] A115599 12.0793 [ -(x^2-5*x+2)/(x-1)/(x^2-6*x+1) 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] 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 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 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 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 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 9.65075 [-(36*x-12)/(36*x^2-24*x+1) lgdogf] 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] 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] 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 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 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 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 A115978 9.23025 [-(-2*x^5-2*x^4-x^3-4*x^2-x-2)/(x^6-1) ogf_with_Euler_transform] 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 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 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 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] 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 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] 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 5.67539 [{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] 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 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 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 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 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 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] 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 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] A116390 13.3267 (-1-x+2*(1+2*x+13*x^2)^(1/2))/(1+2*x+17*x^2)*x revogf 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 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 8.26006 [-(3*x^4-6*x^2-1)/(x^5+x^4-2*x^3+2*x^2-3*x+1) lgdogf] 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] 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 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] 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] 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 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 8.25413 [{-a(n+2)+2*a(n+1)-5*a(n), a(0) = 1, a(1) = 3}, 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] 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 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 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] 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] 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] 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 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 7.33130 [{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 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 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 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 6.16336 [{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 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] 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 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] 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 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 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] 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 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] 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 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 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] 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 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 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 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 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 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 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 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 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 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 8.15504 [-(12*x-1+5*(-12*x+1)^(1/2))/(12*x^2+23*x-2) lgdogf] 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 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 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 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 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 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 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 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] 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 7.75634 [{-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 5.38267 [{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 5.43614 [{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 5.56245 [{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 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 7.79576 [{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 8.49982 [{-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 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] 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 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 6.79473 [{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 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 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 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 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 5.52229 [{-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] A117378 10.1549 [-(4*x^2-2*x-3)/(4*x^3-5*x^2+5*x-1) lgdogf] 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 5.76211 [{-a(n+3)+a(n+1)-a(n), a(0) = 1, a(1) = -4, a(2) = 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] 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 7.61071 [-(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] 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] 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 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] 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 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 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 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 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 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] 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 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 5.82127 [{-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 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 6.28165 [{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 5.41081 [{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 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 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 6.94299 [{-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 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 6.45728 [{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 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] 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] A117647 14.6252 -2*(1+4*x+2*x^3+x^4)/(x+1)/(x^4+4*x^2-1) lgdogf 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 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 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] 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 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 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 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 11.9397 [-(-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 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 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 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 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] 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] 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] 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] 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] 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] 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] 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] 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 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 7.47750 [{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 7.47750 [{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] 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 6.84671 [{-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 6.96152 [{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 6.38137 [{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 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 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 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 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] 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 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 7.58661 [{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] 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] 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] 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 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 6.74638 [-1/2*(5*x^2-2*x+1)^(1/2)/x*(x+1)+1/2*(3*x^2+1)/x revogf] 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] 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 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] 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 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 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] 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 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] 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] 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] 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 9.30207 [{-a(n+2)+4*a(n+1)-4*a(n), a(0) = 2, a(1) = 12}, 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] 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] 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 [{-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] 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 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 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 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] 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 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 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 6.90587 [-(2*x^3-6*x^2+8*x-3)/(4*x^4-16*x^3+20*x^2-9*x+1) lgdogf] 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 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 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 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 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 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 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 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 9.21928 [-(18*x^2-22*x+6)/(6*x^3-11*x^2+6*x-1) lgdogf] 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 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 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] A119282 13.5904 [{a(n+3)-2*a(n+1)+a(n), a(0) = 0, a(1) = -1, a(2) = 0}, 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] 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 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 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 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 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] 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] 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 6.65196 [-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] 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 6.70859 [{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 9.94964 [{-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 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] 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] 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 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 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 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 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 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 [{-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] 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 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 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 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] 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 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 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] 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 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 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 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] 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] A120096 11.3350 [ -(27*x^2-18*x-1)/(x-1)/(3*x+1)/(9*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] 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 7.18922 [{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 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 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 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 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 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] 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 [{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 7.99219 [{a(n+2)-204*a(n), a(0) = 1, a(1) = 36}, 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 7.22484 [{a(n+2)-2*a(n+1)-8*a(n), a(0) = 7, a(1) = 34}, 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] 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 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 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 7.28919 [{(-4*n+2)*a(n)+(n+1)*a(n+1), a(0) = 1, a(1) = 1}, 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 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] 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 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 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 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] 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 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 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 6.92126 [{-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] 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 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 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] 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 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 7.98886 [{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 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 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] 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] 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] 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] A120844 14.5876 [-(-x+3)/(-x^2+2*x-1) ogf_with_Euler_transform] 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 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 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 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] 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 5.77674 [{-a(n+3)+3*a(n+2)+3*a(n+1)-a(n), a(0) = 1, a(1) = 1, a(2) = 5}, ogf] A120908 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 6.22349 [{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] 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 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 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 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 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 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 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 43.5051 x/(1+3*x^2+x^3) revogf 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 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] 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] 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 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 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 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 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 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 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 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] 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] 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 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 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 7.85313 [{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] 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 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] 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 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] 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 5.86296 [{-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 6.70939 [{-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] 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] 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] 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] 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] 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] 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 6.59759 [{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 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 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 6.80694 -1/1414562*(-1-841*x-1682*x^2+(1+1682*x+710645*x^2)^(1/2))/x^2 revogf 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 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 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] 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 5.54310 [{-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 7.73006 [{-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 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 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] 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 7.75634 [{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 7.67877 [{-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 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] 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 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] 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 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 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 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 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 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 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 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 5.76772 [{-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] 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 4.80205 [{-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 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 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 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] 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 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] 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 5.77312 [{a(n+3)-4*a(n+2)+4*a(n+1)-a(n), a(0) = 1, a(1) = 13, a(2) = 50}, ogf] A121991 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 6.85595 [{-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] 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 6.85595 [{-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 5.15055 [{-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 [{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 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] 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 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 6.13212 [{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 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 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 5.43614 [{-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] 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 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 8.41638 [{-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 8.72025 [{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 8.12342 [{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] 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 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 7.82885 [{-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 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 [{-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 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 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 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 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 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] 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] 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 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 5.59674 [{-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 5.84543 -(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] 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 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] 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 A122446 14.0200 -1/4*(-1-2*x^2+(1-4*x^2+4*x^4+8*x^3)^(1/2))/x revogf 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 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 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 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] 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] 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] 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 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] 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] 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] A122553 13.7680 [{a(n+2)-a(n+1), a(0) = 1, a(1) = 3}, 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 7.76224 [{-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 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 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 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] 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 8.62002 [{-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 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 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 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 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] 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 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] 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] 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 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 6.91340 [{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] 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] 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 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 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] 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 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] 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] 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] 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 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 [{-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 [{-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 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 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] 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] 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] 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] 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 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 7.28050 [{-a(n+3)-a(n+2)+a(n+1)+a(n), a(0) = 7, a(1) = 13, a(2) = 8}, 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] 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] 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] 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 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 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 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 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 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] 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 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 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] 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] 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] 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 5.76772 [{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 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 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 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 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 6.78598 [{-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] 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] 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 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 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 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] 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 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 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] 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 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 6.93147 [ 4*x*(x^2-13*x+1)/(x^2-34*x+1)/(x^2-6*x+1) 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] 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] 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] 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 6.89592 [ 2*x*(x^2+8*x+1)/(x^2-34*x+1)/(x^2-6*x+1) 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 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 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] A123166 10.4080 -(2-10*x+17*x^2)/(-1+x)/(4*x-1)/(x^2+3*x-1) lgdogf 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 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 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] 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 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 5.63304 [{-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 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 5.95210 [{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 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 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 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 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 7.50143 [{-a(n+2)+5*a(n+1)+4*a(n), a(0) = 1, a(1) = 1}, 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 5.50086 [{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 10.9738 [ -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 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 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 9.17127 [{a(n+2)+2*a(n+1)-a(n), a(0) = 1, a(1) = -1}, 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 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] 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] 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 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 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] 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] 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] 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] 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 A123522 12.0753 -(101-319*x+380*x^2)/(x-1)/(19*x-10)/(10*x-1) lgdogf 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 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] 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 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 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 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] A123760 12.8980 [ -(15*x^3+13*x^2+11*x+9)/(2*x^4-1) 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] 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 6.79470 [{-a(n+2)-3*a(n+1)-3*a(n), a(0) = 1, a(1) = -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] 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] 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 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 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 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 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 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 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] A123952 10.4828 [ -(29*x^2-11*x+1)/(5*x-1)/(22*x^2-10*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 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 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 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] 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] 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 7.30011 [{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 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 7.30147 [{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] 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] 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 5.89980 [{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 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 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 4.31797 [{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] 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 5.45912 [{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] 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] 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 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 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 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 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 6.59168 [{-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 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 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 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] 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] 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 7.55939 [{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] 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 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 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 7.72363 [{-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 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 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 9.87319 [{-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] 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 A124427 21.9807 (exp(x)*x+exp(x)+x+2)/(x+1) lgdegf 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 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 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 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 7.82885 [{-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] 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 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] 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] 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 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 A124791 19.7829 (-1+x-x^2+(4*x+1)^(1/2))/(3+x^2) revogf 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 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 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 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] 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 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] 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] 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 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 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] 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] 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] 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 7.75134 [{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 9.87846 [{-a(n+2)+2*a(n+1)-a(n), a(0) = 15, a(1) = 31}, 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] 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] 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 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 8.96637 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n), a(0) = -1, a(1) = 5, a(2) = 19}, 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 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 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 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 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 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 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 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] 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 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 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 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 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 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] 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] 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] 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 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] 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 7.93504 [{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 7.47984 [{-a(n+2)+2*a(n+1)+12*a(n), a(0) = 1, a(1) = 1}, 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 8.88323 [{-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 [{-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 8.19314 [{-a(n+2)+2*a(n+1)+97*a(n), a(0) = 1, a(1) = 1}, 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 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 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 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 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 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 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] 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 8.40049 [{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 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 5.76549 [{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 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 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 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 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 5.76641 [{a(n+2)-11*a(n+1)+10*a(n), a(0) = 2, a(1) = 17}, ogf] 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 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] A126120 13.2635 -(-1+4*x^2+(-(-1+2*x)*(2*x+1))^(1/2))/(-1+2*x)/(2*x+1)/x lgdogf 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] 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] 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 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] 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] 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] 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] A126269 3.88919 [ -(2*x^3-4*x-3)/(x-1)/(x+1)/(2*x^2-1) 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] 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] 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] 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] 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 9.25490 [ -(x^3+5*x^2-2*x-1)/(x^3+3*x^2-4*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 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] 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 3.81774 [{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 3.83645 [{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 3.83645 [{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 3.83645 [{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 3.54759 [{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 3.54759 [{-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 3.54759 [{-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 3.56607 [{-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 3.56607 [{-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 6.89135 [{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 8.99749 [ -(x^3+x^2-2*x-1)/(x^3-x^2-4*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 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 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] 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] 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] A126474 12.5240 -2*(3-2*x^3+x^4)/(x^2-x-1)/(2*x^3-x^2-5*x+1) lgdogf A126474 4.98439 [{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 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 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 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 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 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 4.90451 [{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 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 8.55690 [{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 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 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] 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 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] 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 6.90449 [{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 4.48521 [{-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 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 5.33360 [{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 6.34621 [{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] A126664 11.1045 [{a(n+4)-a(n+2), a(0) = 0, a(1) = 1, a(2) = 6, a(3) = 2}, 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 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] 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 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 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 7.81679 [{-a(n+2)+13*a(n+1)-a(n), a(0) = 1, a(1) = 14}, 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] A126931 25.8852 x*(1+3*x)/(1+6*x+10*x^2) revogf 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] 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] 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] 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] 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 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] 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] 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 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 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 9.50192 [{-a(n+2)+2*a(n+1)-a(n), a(0) = 47, a(1) = 61}, 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 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 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 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 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 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 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 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 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 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 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 7.70067 [{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 9.77429 [ 3*(91*x^3-204*x^2+155*x-40)/(x-1)^4 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 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 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 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 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 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 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 6.35305 [{-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 5.94226 [{-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 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 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 6.88278 [{-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 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 6.96414 [{-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 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 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 7.30478 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n), a(0) = 71, a(1) = 73, a(2) = 79}, 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 5.88860 [{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 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 8.53132 -(-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 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] 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] 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] A127365 10.0074 [ -(x+1)*x^2/(x^2+1)^2 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 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 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] A127526 10.9822 [ -(x^3+x^2-15*x+15)/(x^2-3*x+1)/(x-1)/(x+1) 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] 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] 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] 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] 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 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 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 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 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 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 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] 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] 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 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 10.0259 -((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 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 6.51914 [{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 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] 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 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 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] 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] 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] 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] 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 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 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 10.9692 [{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 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 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 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 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] 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 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 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 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 7.15366 [ 10*(25*x^2+5*x+1)/(5*x-1)^4 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] 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 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 9.50906 [ -(x^3-x^2-2*x-1)/(x^4-x^2+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 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 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 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 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 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 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] 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 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 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] A128128 14.5160 [-(-3*x^4-2*x^2-3)/(-x^6+1) ogf_with_Euler_transform] 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 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 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] 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 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 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 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 A128387 27.9971 x*(1+x)/(1+2*x+6*x^2) revogf 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] 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] 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] 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 7.36556 [{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] 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 9.82221 [{-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 9.82221 [{-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 9.82221 [{-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 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 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 9.82221 [{-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] 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 [{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] 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] 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] 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] 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] 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] 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 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] 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 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] 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] A128712 14.5005 [-(6*x^3+5*x^2+8*x+5)/(-x^4+1) ogf_with_Euler_transform] A128713 14.2871 [-(-6*x^3-7*x^2-4*x-7)/(x^4-1) ogf_with_Euler_transform] 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 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 14.5603 1/2/x*(-1-x-x^2+(1+2*x+7*x^2+2*x^3+x^4)^(1/2)) revogf A128725 19.2157 -1/2*(-1+(1+4*x^2)^(1/2))/x*(x-1) revogf 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] 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 A128750 13.0324 1/2/(x-1)*(-x^2-1+(x^4+10*x^2+1-4*x^3-4*x)^(1/2)) revogf 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] 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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] 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 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 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 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 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 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 9.54094 [ (x^3+30*x^2+39*x+2)/(x-1)^4 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 [{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] 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 5.68616 [{-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] 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 6.90449 [{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 6.92853 [{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 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 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 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] 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] 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] 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] 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 6.99717 [{-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] 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] 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] A129346 11.8780 [ -(x^3+2*x^2-5*x-4)/(x^2+2*x-1)/(x^2-2*x-1) 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 6.96208 [{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 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 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] 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] 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] 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 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] 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 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 A129588 29.9708 [-4/(-x-1) ogf_with_Euler_transform] 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] 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 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 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 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 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 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] 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] 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 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] 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] 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 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 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 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] 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 6.46625 [{-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] 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 3.97921 [{(-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 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] 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 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] 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] 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] 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] 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] 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 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 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] 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 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 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 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 8.74677 [{-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 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 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 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 10.9666 -(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 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 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 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 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] 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] 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 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] 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] 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 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 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 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] 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 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] 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 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 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] 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 6.34354 [{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 6.31260 [{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] 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 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] 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] 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 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 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 6.58044 [{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 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 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] 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 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 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 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] 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 6.13212 [{-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 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 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] 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] 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 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 6.46230 [{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] 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 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 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 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 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 7.66671 [{-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] 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 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 11.6752 [{-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 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 6.93941 [{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] 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] 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 6.43003 [{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 7.60876 [{-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 6.59368 [{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 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 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] 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] 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 9.07887 -7/2*(-7+168*x+5*(1-24*x)^(1/2))/(49*x-1)/(-1+24*x) lgdogf 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 9.89434 -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 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 [{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 8.14443 [{-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 8.85083 [{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 8.35190 [{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 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] 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 7.97374 [{-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] 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] 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] 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 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 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 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 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] 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] 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 A131124 8.37930 [-(4*x^4+2*x^3+2*x+4)/(-x^6+x^4-x^2+1) ogf_with_Euler_transform] 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] 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] 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] 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 3.91929 [{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 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 7.47785 [{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 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 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] 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] 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] 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] A131326 11.5981 [ -(x^2-2*x-1)/(x-1)/(x+1)/(x^2+x-1) ogf] A131328 11.8090 [ -(x^2-3*x-1)/(x-1)/(x+1)/(x^2+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] 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 6.57619 [{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 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] 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] 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] 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] 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 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 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] 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] 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 5.61799 [{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] 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 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] 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] 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] 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] A131534 13.0433 [{a(n+3)-a(n), a(0) = 1, a(1) = 2, a(2) = 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 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 A131556 11.7112 [{a(n+3)+a(n), a(0) = 1, a(1) = -2, a(2) = 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 13.7922 [{-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 6.58044 [{-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 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 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 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 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 6.95996 [{-a(n+3)-4*a(n+2)-4*a(n+1)-a(n), a(0) = -3, a(1) = 3, a(2) = -2}, ogf] A131598 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 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 7.67226 [{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 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 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 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 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] 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] 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 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 8.44777 [{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] 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 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 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 7.54978 [{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 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] 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 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 3.45012 [{-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 4.11514 [{-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 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 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 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 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 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 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 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 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 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] 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 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] 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 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 9.85398 [{-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] A131887 13.9482 [ -(x^3+x^2-5*x-3)/(x^4-4*x^2+1) 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 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 7.33358 [{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 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 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 9.22697 [ -(x^3+x^2+x-1)/(2*x-1)/(x-1)^3 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 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] 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 9.11470 [{-a(n+3)-a(n), a(0) = 3, a(1) = -2, a(2) = 6}, 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] A132000 10.0228 [-(-6*x^5-x^4-5*x^3-6*x^2-5*x-1)/(x^6-1) ogf_with_Euler_transform] 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] 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 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] 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 6.49745 [{a(n+2)-6*a(n+1)+5*a(n), a(0) = 2, a(1) = 4}, 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 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 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] 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] 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 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 4.09301 [{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] 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] 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 5.91071 [{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] 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] 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 7.58266 [{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] A132353 10.3618 [ -(3*x^3-x+1)/(3*x-1)/(x+1)/(x^2-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 9.92048 [ -(2*x^2+x+1)/(3*x-1)/(x+1)/(x^2-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 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 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 A132375 28.8166 x*(1+x)/(1+2*x+9*x^2) revogf 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 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 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 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 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] 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 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] A132418 2.98318 [ -(21*x^5+10*x^4+5*x^3+3*x^2+2*x+1)/(43*x^6-1) 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] 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 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 7.64877 [{-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] 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 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 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] 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 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 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 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 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 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 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 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 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 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 12.5970 [{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 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] 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 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 9.95359 [ -(2*x^3+x^2-2*x+1)/(2*x-1)/(x-1)^2 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] 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] 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 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 6.13212 [{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 6.40365 [{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 6.43754 [{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 6.43754 [{-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 6.50530 [{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 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 6.32931 [{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 6.39628 [{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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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 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 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 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] 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] 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 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 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 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 9.93511 -6*(-3+84*x+4*(1-28*x)^(1/2))/(36*x+1)/(-1+28*x) lgdogf A132868 12.9780 [ (2*x^2-1)/(3*x-1)/(x+1)/(x^2-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] 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] 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] 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 A132951 13.4920 [{a(n+3)+a(n), a(0) = 1, a(1) = 3, a(2) = 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 8.55151 [{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] 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] A132969 14.3184 [-(x^3-3*x^2+4*x-3)/(-x^4+1) ogf_with_Euler_transform] A132970 21.0709 [-(-x-3)/(x^2-1) ogf_with_Euler_transform] 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] 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] 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] 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 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] 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] A133089 10.0548 [-(-3*x^3+3*x^2-6*x+3)/(x^4-1) ogf_with_Euler_transform] A133090 14.6065 [ (x^3+3*x^2+x+1)/(x-1)^2/(x+1)^2 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] 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] 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 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 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 3.95969 [{-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 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 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] 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] 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 5.99342 [{-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 6.55596 [{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 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 A133203 15.7452 -(-3-50*x+29*x^2)/(x-1)/(18*x^3-25*x^2-1) lgdogf 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 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 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] 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 [{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] 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 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 [{-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 4.77539 [{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 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 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 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 6.27133 [{-a(n+2)+22*a(n+1)-a(n), a(0) = 1, a(1) = 23}, 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 4.38401 [{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 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 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 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 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 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 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] 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 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 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 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 10.7242 -(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 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 6.96414 [{-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 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 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 4.55838 [{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 3.65678 [{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 4.72133 [{-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 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 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 7.99844 [{-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] 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 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] 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 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] A133453 9.53820 [ -(3*x^3+x^2-2*x+2)/(3*x-1)/(x+1)/(x^2-x+1) 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 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] 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 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 7.74793 [{-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 7.90685 [{-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 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 6.80025 [{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] 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 7.77241 [{-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 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 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] 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 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 A133513 10.8396 -3*(-1+x)*(2*x^2+x+1)/(-1+3*x)/(x+1)/(x^2-x+1) lgdogf 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 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 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] 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] 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 7.38993 [{-a(n+2)+a(n+1)+10*a(n), a(0) = 1, a(1) = 2}, 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] 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] 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] 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] 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] 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] 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] 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 10.8413 [{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] 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] 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] 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 5.78833 [{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] 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 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] 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] 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] 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] A133668 14.1785 [ (5*x+1)/(36*x^2-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 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 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 7.57955 [{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 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] 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] 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] 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] A133684 3.59484 [ x*(x^2-x-1)/(2*x^2-1)/(x^2+1) 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] 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] 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 7.37035 [{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] 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 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 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 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 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 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 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 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 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] 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] 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] 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] 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] 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] 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] A134005 13.2322 [-(2*x^20-2*x^18-2)/(x^2-1) ogf_with_Euler_transform] 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 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 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] 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] 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] 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] 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] 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] 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] 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 8.82394 [{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 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 6.63351 [{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 6.83560 [{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 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] A134169 10.1493 [ -(7*x^2-5*x+1)/(x-1)/(2*x-1)/(4*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] 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 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] 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 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] 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] 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 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 6.94576 [{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 6.38569 [{-a(n+3)-2*a(n+2)+4*a(n+1)-a(n), a(0) = 4, a(1) = 1, a(2) = 7}, ogf] A134267 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] 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 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 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] 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 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] 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] 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] 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 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] 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 A134414 12.1420 [-(5*x^2+3*x+2)/(x^3+x^2+x+1) ogf_with_Euler_transform] A134415 13.9418 [-(-5*x^3-8*x^2-3*x-8)/(-x^4+1) ogf_with_Euler_transform] 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 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] 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] 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 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 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 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] 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 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] 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 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 6.60656 [{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 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 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 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 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 7.70765 [{-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 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] 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 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] 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 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 6.73343 [{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 6.83245 [{-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 6.93148 [{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 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 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] 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 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 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 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 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] 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 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 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] 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 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] 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] 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 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] A134693 12.3592 [{a(n+2)-2*a(n), a(0) = 3, a(1) = 9}, 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 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] 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 7.98862 [{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] 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] 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] 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] 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 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] 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 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] 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 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 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 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 6.76544 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n), a(0) = 1, a(1) = 225, a(2) = 841}, ogf] A134939 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 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 A134965 13.4056 [ (4*x^2+9*x+3)/(x+1)/(x-1)^2 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] A134987 13.3911 [ -x^4/(2*x-1)/(x^4+2*x^2-2*x+1) 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 8.63698 [{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 5.76059 [{-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] 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] 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 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] 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] 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 9.00343 [ x*(x^2+7*x+1)/(x^2+x+1)/(x-1)^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] 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] A135092 11.1208 [{a(n+2)-2*a(n+1), a(0) = 1, a(1) = 7}, 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] 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 6.37448 [{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 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] A135153 14.3849 [ -(x+1)*x^2/(x^4+2*x^2-1) 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] 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 7.55542 [{-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 7.55542 [{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 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 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 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 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 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 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 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 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 6.95992 [{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] A135218 17.4563 -(x+1+10*x^2)/(2*x+1)/(-1+x) lgdegf 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] 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] 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] 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 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] 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] 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 8.74595 [{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 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 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] 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 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] 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] 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 A135343 12.5517 [ -(4*x^3-x+1)/(4*x-1)/(x+1)/(x^2-x+1) ogf] A135344 11.0909 [ (x^3+2*x^2+2*x-1)/(3*x-1)/(x+1)/(x^2-x+1) ogf] A135345 15.7841 [ (3*x^2-1)/(4*x-1)/(x+1)/(x^2-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] 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 8.82271 [ 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 5.80026 [{-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] 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 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] 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] 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 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 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 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 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 10.8817 [{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 5.88684 [{-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 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] 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] 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] 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 6.65190 [{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] 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] 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 9.76299 [ -2*(x+1)*(x^2+1)/(x^4+x^3+x^2+x-1) 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 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 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] 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 6.19973 [{-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 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 7.98632 [{-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 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 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 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 9.65665 [{-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 6.95992 [{-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 6.36947 [{-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 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 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 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 8.77772 [{-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 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 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 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 23.1205 [ -1/(839*x-1) ogf] A135640 9.84761 [{a(n+1)-839*a(n), a(0) = 1}, 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] 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] 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 9.99537 [{-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 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 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 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 6.72356 [{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 7.49404 [{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 7.42529 [{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] 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] 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] 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 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 [{(-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 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 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 6.60542 [{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 6.53386 [{-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 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] 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 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] 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 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 6.98861 [{-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 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 6.49791 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n), a(0) = 35, a(1) = 143, a(2) = 323}, ogf] 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 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] 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 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] 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] 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 6.31260 [{-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] A136254 16.6102 -(3-7*x+8*x^2)/(-1+x)/(4*x^2-5*x+2) lgdogf 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 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 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 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] 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 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 7.73769 [{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] 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] 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] 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] 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] 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 7.67118 [{a(n+3)-a(n+2)-a(n+1)+a(n), a(0) = 3, a(1) = 1, a(2) = 9}, 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] 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] 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] 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 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] 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 6.44996 [{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] 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 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 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 7.21014 [{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 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 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 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 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 15.9130 -(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] 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] 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] A136778 11.9307 [ (3*x-1)*(x-1)/(3*x^3+9*x^2-7*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] A136780 12.0349 [ (7*x^2-5*x+1)/(7*x^3+8*x^2-7*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 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 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 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 6.57718 [{-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 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 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 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 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] 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] 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] 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] A136958 10.2264 [{a(n+3)-10*a(n+1), a(0) = 0, a(1) = 88, a(2) = 878}, 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] 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 4.39660 [{-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 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 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 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 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] 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] 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] A137208 13.0649 [ -(5*x^2-x-2)/(2*x-1)/(2*x+1)/(x-1) 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] 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] 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] 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 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 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] 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] 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] 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 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] A137261 9.16351 [ (5764801*x^8-5764801*x^7+28812*x^4-28812*x^3+840*x-1200)/(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 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] A137344 3.31566 [ -3*(3*x+1)/(2*x-1)/(2*x+1) 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 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 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 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] 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] 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 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 9.95341 [{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 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 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 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 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] 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 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] 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 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 5.90522 [{-a(n+3)+3*a(n+2)-3*a(n+1)+a(n), a(0) = 121, a(1) = 121, a(2) = 120}, ogf] A137529 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] 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 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 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 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 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 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 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 7.59049 [{a(n+2)+2*a(n+1)+4*a(n), a(0) = 1, a(1) = -4}, 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] 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 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 6.77342 [{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 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 9.81192 [{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] A137829 13.3577 [-(-x^2-x-2)/(-x^3+x^2-x+1) ogf_with_Euler_transform] A137830 10.9182 [-(-x^3+2*x^2+x+2)/(-x^4+1) ogf_with_Euler_transform] A137842 14.2914 -1/2*(-4-x+(x^2*(4*x+1))^(1/2))/(2+2*x+x^2)*x revogf 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 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] 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] 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 [{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 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] 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] 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 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 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] 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 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 6.96939 [{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 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 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 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] 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 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] 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 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 6.58315 [{-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 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] 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 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 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 7.22116 [{a(n+2)-205*a(n+1)+1764*a(n), a(0) = 17, a(1) = 2771}, 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 6.99361 [{a(n+2)-2*a(n+1)+6*a(n), a(0) = 1, a(1) = 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 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 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 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] 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 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 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 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 6.88218 [{a(n+2)-10*a(n+1)+a(n), a(0) = 1, a(1) = 9}, 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 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 6.91871 [{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 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 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] A138365 14.9508 [ -(x-10)/(x+1)/(x^2-11*x+1) 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 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 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 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 8.60348 [{-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] A138463 7.27363 x*(x-1)*(-1+2*x)^2/(1+x)/(x-2) revogf 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 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] A138501 14.2700 [-(6*x^3+4*x^2-2*x+4)/(-x^4+1) ogf_with_Euler_transform] A138502 14.3742 [-(-6*x^3-8*x^2-2*x-8)/(x^4-1) ogf_with_Euler_transform] A138504 14.5749 [-(6*x^3-4*x^2+14*x-4)/(-x^4+1) ogf_with_Euler_transform] 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 6.94133 [{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] A138515 14.1853 [-(-4*x^3+2*x^2-6*x+2)/(x^4-1) ogf_with_Euler_transform] 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] A138559 16.5398 [-(-x^3+x^2-3*x+1)/(x^4-1) ogf_with_Euler_transform] 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 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] 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 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] 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 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 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 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] 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 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 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 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 6.87036 [{-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 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 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 7.96378 [{-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 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] 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] 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] 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] 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] 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] 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 6.58982 [{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 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 A139249 10.0864 [{-a(n+2)+2*a(n+1)-a(n), a(0) = 6, a(1) = 36}, 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] 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 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 6.37406 [{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 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 6.43244 [{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 6.43244 [{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 6.43244 [{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 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 6.43244 [{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 6.44124 [{-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 6.44124 [{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 6.47410 [{-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 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 9.76890 [{-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] 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 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 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] 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] 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] 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 6.29086 [{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 6.35742 [{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 6.35742 [{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 6.39071 [{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 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 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 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 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 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 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 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 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] 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 9.90181 [{-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 8.52586 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 9.99214 [{-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 9.84124 [{-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 8.68658 [{-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 8.58774 [{-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 8.72123 [{-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 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 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 8.60674 [{-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 8.65044 [{-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 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 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 8.50612 [{-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 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] 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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] 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 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 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] 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 6.06199 [{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 [{-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 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 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 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 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 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] 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] 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 6.89760 [{-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 5.60881 [{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 5.87609 [{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 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] 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 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 [{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 6.35204 [{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 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 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] 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] 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] 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] 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 8.29561 [{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 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] 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 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] 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 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] 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] 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] 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 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 5.84000 [{-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 6.67489 [{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 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] A140322 12.5517 [ (2*x^2-2*x+1)/(x-1)/(4*x-1)/(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 8.95006 [{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 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 6.43638 [{a(n+3)-2*a(n+2)-a(n+1)+2*a(n), a(0) = 1, a(1) = 1, a(2) = 6}, ogf] A140360 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 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 6.92346 [{-a(n+3)+3*a(n+2)+5*a(n+1)+a(n), a(0) = 1, a(1) = 1, a(2) = 9}, ogf] A140420 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 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 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] 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] 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 7.14809 [{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 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 6.98372 [{-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 7.85761 [{-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] 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 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 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 [{-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 [{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 6.39628 [{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 6.42977 [{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] 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 6.45728 [{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 6.45728 [{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 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 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 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 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 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 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 6.48637 [{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 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] 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 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 8.79777 [{-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 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 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 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 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] 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 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 7.14170 [{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] 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] 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 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 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] 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] 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 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 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 8.88102 [ -2*x*(7*x-1)/(13*x-1)/(x-1) 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 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] A141016 33.1408 -(2+3*x^2)/(-1+2*x+x^3) lgdogf A141016 4.64597 [ -x/(x^3+2*x-1) 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] 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 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 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 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 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 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 6.66638 [{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] 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 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 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 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] 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] 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] 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] 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 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 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 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 A141354 16.6120 -(-3-8*x+x^4-14*x^2)/(x-1)/(x+1)/(x^3-x^2-5*x+1) lgdogf 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 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 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 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 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] 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 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] 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 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 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 90.3630 -4/(x-1) lgdogf A141480 14.4660 [ 125/(x-1)^4 ogf] A141480 56.2516 [[4] ogf_with_Euler_transform] 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] 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] 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] 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 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 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 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] 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] 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 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 6.38223 [{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 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 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] 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] 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 9.78276 [{-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 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 7.74428 [{-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 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 6.64634 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n), a(0) = 15, a(1) = 63, a(2) = 143}, 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] 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 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] 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] 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 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 8.82678 [{-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] A142464 10.9955 [{-a(n+3)+a(n+2), a(0) = 3, a(1) = 6, a(2) = 1}, 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] 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] 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] 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 6.76491 [{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] 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 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 6.13512 [{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] 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] 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 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 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 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 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 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 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 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 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] 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 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 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] 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 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] 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] 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 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] 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] 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] 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 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] 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 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 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] 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] A143378 14.1776 [-(2*x^3-x^2+4*x-1)/(-x^4+1) ogf_with_Euler_transform] A143379 12.9434 [-(-2*x^2+x-1)/(x^3-x^2+x-1) ogf_with_Euler_transform] A143380 8.84093 [-(-2*x^3+2*x^2-3*x+2)/(x^4-1) ogf_with_Euler_transform] 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 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 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] 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] 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] 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 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] 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 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] A143609 11.5118 [ -(x^3+2*x^2-3*x-2)/(x^2+2*x-1)/(x^2-2*x-1) 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 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 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 5.67015 [{-a(n+5), a(0) = 24, a(1) = 36, a(2) = 55, a(3) = 17, a(4) = 1}, 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 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 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 7.08568 [{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] 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 6.37383 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n), a(0) = 0, a(1) = 12, a(2) = 72}, ogf] A143699 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] 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 A143754 20.2224 (49+16*x+4*x^3+21*x^2)/(8*x^2+75+49*x+x^4+7*x^3) lgdogf 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] 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 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 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 6.58044 [{-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] 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 7.37387 [{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 6.66587 [{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 6.66587 [{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 6.66587 [{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 6.60116 [{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 6.60116 [{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 6.66587 [{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 6.63351 [{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 6.63351 [{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] A143895 13.9314 [-(-10*x^2+8*x-10)/(-x^4+1) ogf_with_Euler_transform] 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] 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 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] 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] 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] 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 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] 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 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 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 6.12536 [{-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 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] 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 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] 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] 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 6.76987 [{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 6.72486 [{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 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 7.22747 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n), a(0) = 3, a(1) = 13, a(2) = 29}, ogf] A144396 10.9340 [{-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] 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] 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 8.91633 [ -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] 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] 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] 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 6.96788 [{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 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] 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] 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] 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 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] 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 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] A144534 11.3366 [ (x^3-17*x^2+x+1)/(x^2+6*x+1)/(x^2-6*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] A144536 11.6853 [ (x^3-7*x^2+x+1)/(x^2-4*x+1)/(x^2+4*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] 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] 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 6.27726 [{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 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] A144619 18.0389 [ (11*x+8)/(x-1)^2 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] 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] 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] 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] 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] 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 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] 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 6.68561 [{-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 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 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 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 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] 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 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 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] A144855 7.69485 1778*x^6] lgdogf 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 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] 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 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] 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 6.98751 [{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 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 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] 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 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 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 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 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] 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] 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] A145067 10.4592 [ -x*(2*x^2-5*x+1)/(x-1)^4 ogf] A145067 210000 -(-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] 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] 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] 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 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] 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 4.66109 [{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 6.99020 [{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 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 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] 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 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 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 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 6.80025 [{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 6.33129 [{a(n+2)-16*a(n+1)+56*a(n), a(0) = 1, a(1) = 8}, ogf] A145322 10.2922 -(24301-2*x+x^2)/(x-1)/(x^2-24302*x+1) lgdogf A145322 6.86149 -1/2*(-7-24302*x+(49+340200*x+590587200*x^2)^(1/2))/(7+x) revogf 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 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 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 5.54327 10*(1-1980*x+990000*x^2)/(1000*x-1)/(9900*x^2+990*x-1) lgdogf 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 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 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 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 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 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] 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 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 5.61805 [{-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] 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 9.73445 [ (40*x^2-24*x+5)/(x-1)/(8*x-1)/(2*x-1)/(4*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] 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] 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 5.97840 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n), a(0) = 420, a(1) = 1743, a(2) = 3948}, ogf] A145693 12.2259 [ -14*(x-1)/(x^2-110*x+1) 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 6.66298 [{-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 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 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 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 7.12817 [{a(n+2)-590*a(n+1)+a(n), a(0) = 1, a(1) = 589}, 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] A145715 11.9607 -(2029-2*x+x^2)/(x-1)/(x^2-2030*x+1) lgdogf 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 5.70168 [{-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 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 4.79646 [{-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 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 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] 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] A145751 10.5590 [{a(n+3)-2*a(n+1), a(0) = 1, a(1) = 3, a(2) = 4}, 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] 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] A145840 15.2354 -4/(x-1)/(2*x^4-8*x^3+12*x^2-8*x+1) lgdogf 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 [{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 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 7.51777 [{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 7.92413 [{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 8.61495 [{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 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 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 9.53158 [ -x*(x^2-4*x-1)/(x^2+x-1)^2 ogf] A146020 13.7327 1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf 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 7.62872 [{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 7.77234 [{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 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 7.40730 [{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 7.40730 [{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 6.46569 [{-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] 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 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 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 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 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 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 6.88218 [{-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 5.48380 [{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 5.48380 [{-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 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 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] A146394 9.13689 1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf A146426 9.66657 1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf A146442 9.13689 1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf A146458 10.7296 1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf 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 A146507 11.5522 [ (29*x^2+12*x+1)/(x+1)/(x-1)^2 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 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 7.34086 [{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 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 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 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] 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] 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] 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] 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 20.6071 [ -(6*x+1)/(2*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] A146575 9.13689 1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf A146583 9.66657 1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf A146599 8.10002 1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf A146604 52.8537 [1 ogf_with_Euler_transform] A146615 22.6677 [1 ogf_with_Euler_transform] A146631 22.6677 [1 ogf_with_Euler_transform] A146639 22.6677 [1 ogf_with_Euler_transform] A146655 7.34122 1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf A146663 9.13689 1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf A146671 22.6677 [1 ogf_with_Euler_transform] A146695 7.34122 1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf A146703 22.6677 [1 ogf_with_Euler_transform] A146727 9.66657 1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf 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 7.33188 [{a(n+3)-a(n+2)-a(n+1)+a(n), a(0) = 0, a(1) = 4, a(2) = 10}, ogf] A146788 7.34122 1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf A146812 7.34122 1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf A146820 8.23066 1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf 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 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 7.29951 [{-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 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 6.88218 [{-a(n+2)+8*a(n+1)-7*a(n), a(0) = 8, a(1) = 64}, 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 9.70482 [ 2*x*(2*x+3)/(x+1)/(x-1)^2 ogf] 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 6.91871 [{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 6.86873 [{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 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 6.95437 [{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 7.34667 [{a(n+2)-12*a(n+1)+29*a(n), a(0) = 1, a(1) = 6}, ogf] 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 6.45853 [{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] A147013 15.3402 1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf 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 A147069 15.0687 1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf 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 A147096 33.3050 [1 ogf_with_Euler_transform] A147156 8.41046 [[1] ogf_with_Euler_transform] A147158 6.11670 [[1] ogf_with_Euler_transform] A147187 15.3402 1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf A147214 8.23066 1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf A147220 6.49899 [[1] ogf_with_Euler_transform] A147236 7.34122 1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf 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 A147258 6.49899 [[1] ogf_with_Euler_transform] A147284 8.60162 [[1] ogf_with_Euler_transform] A147286 6.30785 [[1] ogf_with_Euler_transform] 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 6.98984 [{-a(n+3)+3*a(n+2)-3*a(n+1)+a(n), a(0) = 0, a(1) = 11, a(2) = 40}, ogf] A147316 15.3492 [ -(10946*x-6765)/(x^2+x-1) ogf] A147316 9.07001 [{-a(n+2)+a(n+1)+a(n), a(0) = -6765, a(1) = 4181}, ogf] A147340 11.6684 1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf 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] A147395 7.10294 [[1] ogf_with_Euler_transform] A147446 13.2779 1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf 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 A147491 14.0826 1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf 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 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] 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 5.98031 [{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] 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] A147539 6.45768 [ (136*x^2-36*x+5)/(x-1)/(2*x-1)/(8*x-1)/(16*x-1) 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 4.95380 [{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 4.92519 [{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 9.90181 [{-a(n+2)+2*a(n+1)-a(n), a(0) = 7, a(1) = 21}, 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 7.43646 [{-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] 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 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] 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] 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] 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 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] 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] 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] 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 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 7.90617 [{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 7.38233 [{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 6.80025 [{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 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] 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 9.81404 [{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] 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] 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 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] 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 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 4.89894 [{-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 8.85083 [{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 7.51159 [{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] 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] 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 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 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 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 6.88218 [{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] 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 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 7.36220 [{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 6.91871 [{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 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 6.80025 [{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 6.87036 [{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 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 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 5.57036 [{-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 7.87490 [ -2*(18*x^3-23*x^2+16*x-5)/(x-1)^4 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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] 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 7.47367 [{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] A151564 3.85957 [30*x^14*(128*x^2+17*x+128) ogf_with_Euler_transform] 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] 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 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] 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 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] A151798 11.3972 [{-a(n+3)+a(n+2), a(0) = 1, a(1) = 2, a(2) = 4}, 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 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 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 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 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] 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 8.56190 [ -(8*x^3+8*x-1)/(4*x^2-2*x+1)^2 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 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 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 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 7.90336 [{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 7.79731 [{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 7.79731 [{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 7.76318 [{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 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] 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] 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 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] 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] 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] 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 6.80025 [{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 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] 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 8.69096 [ (x^4-2*x^3-3*x^2+1)/(x^4-x^3-3*x^2-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 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 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 8.48511 [ (x^4-6*x^3+26*x^2+10*x+1)/(x-1)^4 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 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 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 6.80025 [{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 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 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 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 6.80025 [{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 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 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 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 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 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] 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] 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 7.57412 [{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 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 8.04867 [{-a(n+2)-a(n+1)+3*a(n), a(0) = 1, a(1) = -3}, 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 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 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 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 6.86060 [{-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 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 8.41229 [{-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 9.22410 [{a(n+2)-4*a(n+1)-6*a(n), a(0) = 1, a(1) = 6}, 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 6.72212 [{-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 7.46279 [{a(n+2)-5*a(n+1)-7*a(n), a(0) = 1, a(1) = 7}, 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 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 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 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 6.80025 [{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 6.90542 [{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 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 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 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 6.50333 [{a(n+2)-18*a(n+1)+73*a(n), a(0) = 1, a(1) = 9}, 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 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 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 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 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 7.36651 -(-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 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 6.36569 [{a(n+2)-16*a(n+1)+55*a(n), a(0) = 1, a(1) = 8}, 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 7.83903 [ x*(13*x^2+7*x+1)/(x-1)/(13*x-1)/(13*x+1)/(x+1) 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 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 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 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 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] A152494 2.75758 [ -x*(3*x+1)/(10*x-1)/(3*x-1)^2 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 6.89736 [{-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] 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 7.50387 [{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 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 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 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] A152601 29.5460 -x*(3*x-1)/(2*x+1) revogf 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] 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] 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 6.64906 [{-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 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 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 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 39.3582 2*x/(7+(49+10*x)^(1/2)) revegf A152627 9.55784 [{a(n+2), a(0) = 7, a(1) = 5}, ogf] 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] 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 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 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 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] 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] 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 7.37540 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n), a(0) = 0, a(1) = 5, a(2) = 25}, ogf] A152740 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 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] 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] 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] 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 6.35673 [{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 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 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 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 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 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 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 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 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 6.39928 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n), a(0) = 0, a(1) = 3, a(2) = 21}, ogf] A152775 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 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 6.23587 [{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 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 7.15993 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n), a(0) = 3, a(1) = 15, a(2) = 31}, ogf] A152822 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] 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 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 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 6.99549 [{-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 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 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 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 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 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 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 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 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 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] 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 7.37249 [{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 7.37249 [{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 7.47934 [{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 6.56506 [{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] 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 6.53190 [{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 6.34581 [{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] 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 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 7.19810 [{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 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 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 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 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 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 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 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 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 6.88518 [{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] A153169 13.7438 -(43-22*x+3*x^2)/(-1+x)/(3*x^2-14*x+19) lgdogf 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] 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 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 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 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 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 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 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 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 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 7.85324 [{a(n+3)-2*a(n+1)-a(n), a(0) = 3, a(1) = 5, a(2) = 9}, 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 4.68388 [{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 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 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 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] 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 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 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 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 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 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] 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 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 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 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 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 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 7.92598 [{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 5.51414 [{-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 5.41835 [{-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 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 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 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 3.39936 [{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 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 6.21288 [{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 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 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 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 [{-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 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 [{-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 [{-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 [{-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] 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 8.31755 [{-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 6.98982 [{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 6.98372 [{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 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 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] 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 8.74048 [{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 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] 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 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 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 7.18558 [{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 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 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 6.59821 [{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 6.24768 [{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 6.37852 [{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 6.24506 [{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 6.27726 [{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 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 6.37852 [{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 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 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 6.39826 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n), a(0) = 0, a(1) = 8, a(2) = 64}, ogf] A153814 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 6.78030 [{-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 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 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 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 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 [{-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 [{-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] 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 [{-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 8.54310 [{-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 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 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 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] 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 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] 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] 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] 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 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] 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 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 7.22546 [{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 6.48734 [{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 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] A154127 11.2973 [ -(4*x^3+3*x^2+x+1)/(x-1)/(x+1)/(x^2-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 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] 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 [{-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 7.54219 [{-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 [{-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 [{-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 [{-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 7.24001 [{-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] 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 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 6.82418 [{-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 6.49484 [{-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 [{-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 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 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] 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 6.98984 [{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 6.95656 [{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 9.87319 [{-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 9.87319 [{-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 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 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 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 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 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 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] 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] 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 [{-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 6.52884 [{-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 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 5.84680 [{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 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 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 5.67827 [{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 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 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 5.71513 [{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 5.71513 [{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 6.36578 [{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 6.37356 [{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 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 8.93848 [{-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 [-(-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 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 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 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 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] 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 [{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 8.53590 [{-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 8.53590 [{-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 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 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 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 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 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 6.99143 [{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 6.99143 [{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 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 7.26507 [{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 7.26507 [{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 8.37587 -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] 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 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 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 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 9.94964 [{-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 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 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 8.72026 [{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 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 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 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 7.63335 [{-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 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 A154687 11.2973 [ -(2*x+1)*(x^2+x+1)/(x-1)/(x+1)/(x^2-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 7.96762 [{-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 8.72460 [{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 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 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 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 10.4009 [{-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 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 6.98372 [{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 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 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] 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 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 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 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 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 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 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 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 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] 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] 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 8.56426 [{-a(n+2)+13*a(n+1)-10*a(n), a(0) = 1, a(1) = 18}, 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 8.73755 [{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 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] 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 7.20816 [{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 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 7.27887 [{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 7.20928 [{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 6.97143 [{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 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] 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 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] A155120 11.8282 -2*(1+8*x+x^3+2*x^2)/(-1+x)/(2*x^3-x^2+6*x-1) lgdogf 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 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 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 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 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 8.52569 [-(16*x+8)/(-9*x^4-18*x^3+x^2+10*x-1) lgdogf] 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 7.64245 [{-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 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 6.95992 [{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 8.85315 [-(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 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 8.90969 [-(-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 8.59069 [-(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 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 8.16030 [-(-8*x^2-8)/(x^4+10*x^3+7*x^2-10*x+1) lgdogf] 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 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 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] 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] 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] 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] 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] 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 6.72020 [{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 5.17683 [{-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 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 4.79095 [{-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 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 6.35610 [{-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 8.30958 [{-a(n+2)+8*a(n+1)+25*a(n), a(0) = 2, a(1) = 18}, 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 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 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] 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 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 5.29509 [{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 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 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 5.29418 [{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 4.90740 [{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 4.70297 [{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 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 5.29509 [{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 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 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 5.29418 [{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 4.92432 [{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 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 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 5.29509 [{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 5.22292 [{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 5.01010 [{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 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 4.90740 [{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 4.70297 [{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 5.68704 [{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 5.26821 [{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 5.22292 [{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 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 5.29418 [{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 4.92432 [{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 4.92432 [{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 5.27609 [{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 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 4.99288 [{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 5.27453 [{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 4.90740 [{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 4.70297 [{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 4.70297 [{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 4.70297 [{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 4.71847 [{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 4.70297 [{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 5.22279 [{-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 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 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 5.29418 [{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 4.92432 [{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 4.92432 [{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 4.71847 [{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 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 4.99288 [{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 5.27453 [{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 4.89076 [{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 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 4.70297 [{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 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 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 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 4.92432 [{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 4.92432 [{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 4.73422 [{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 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 5.27453 [{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 [{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 4.70297 [{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 4.70297 [{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 4.95845 [{-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 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 4.92432 [{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 4.92432 [{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 4.73422 [{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 5.28061 [{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 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 4.70297 [{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 4.70297 [{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 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 4.92432 [{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 4.92432 [{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 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 4.94067 [{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 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 4.66345 [{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 4.92432 [{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 4.92432 [{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 4.66906 [{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 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 4.66345 [{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 4.88223 [{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 4.64436 [{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 4.62459 [{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 4.53151 [{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 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 7.74428 [{-a(n+2)+5*a(n+1)-4*a(n), a(0) = 4, a(1) = 20}, 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 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 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 6.89679 [{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] 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 5.91530 [{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 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 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 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 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 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] 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] 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 [{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] A155988 11.8075 [ (9*x+1)/(9*x-1)^2 ogf] A155988 11.8075 [-(81*x+27)/(81*x^2-1) lgdogf] 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 6.52884 [{-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 9.89133 [-1/2*x-1/2+1/2*(-3*x^2+6*x+1)^(1/2) revogf] 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 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 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 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 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 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 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 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 9.08672 [-(-3*x^2-16*x-8)/(-x^3-8*x^2-8*x-1) lgdogf] 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 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 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 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 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 8.69096 [-(4*x^3+10*x^2+8*x+1)/(2*x^4+6*x^3+4*x^2-x-1) lgdogf] A156125 5.39913 [{(-40*n-60)*a(n+1)+(n+5)*a(n+2), a(0) = 1, a(1) = 5}, 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 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 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 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 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 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 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 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 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 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] 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 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] 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 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 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 7.69580 [{-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 [{-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 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 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 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 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 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] 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 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 7.85571 [{-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 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 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 9.82221 [{-a(n+2)+2*a(n+1)-a(n), a(0) = 19, a(1) = 49}, 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 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 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 [ -23*(x-1)/(x^2-6*x+1) ogf] A156568 11.7778 -1/2*(-23-6*x+(529+184*x+32*x^2)^(1/2))/(23+x) revogf 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 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 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 4.20138 [{-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 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 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 A156589 10.3917 [ (10*x^2-8*x+1)/(x-1)/(2*x-1)/(4*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 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 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 7.34812 [{-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 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 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 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 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 7.40629 [{a(n+3)-a(n+2)-a(n+1)+a(n), a(0) = 4, a(1) = 5, a(2) = 13}, 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 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 4.72133 [{-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 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 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 4.72133 [{-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 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 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 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 5.65844 [{-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 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 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 4.77789 [{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 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 13.7680 [-(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 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 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 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 5.64546 [{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 5.67300 [{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 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 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 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 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 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 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 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] 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 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 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 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 4.74609 [{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 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 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 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 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 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 5.91028 [{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 5.91028 [{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 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] 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 7.73842 [{-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 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 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 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 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] 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] 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 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 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] 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 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 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 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 6.94996 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 5.98592 [{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 4.87941 [{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 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 3.86156 [{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 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 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 [{-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 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 4.55250 [{-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 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 4.33662 [{-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 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 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 6.85761 [{-a(n+2)+2*a(n+1)-a(n), a(0) = 106846, a(1) = 244688}, 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 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 7.23226 [{-a(n+2)+2*a(n+1)-a(n), a(0) = 30996, a(1) = 168838}, 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 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 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 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] 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 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 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 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 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 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 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 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 6.49791 [{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 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 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 6.49791 [{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 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 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] 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 9.49426 [{-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 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] A157336 16.6163 [-(-x+17)/(-x^2+10*x-9) lgdogf] A157336 18.0612 [ -8*(x-9)/(x-1)^2 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 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 6.35769 [{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 8.40274 [{-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 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 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 8.40274 [{-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 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 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 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 5.69635 [{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 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 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 5.71337 [{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 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 7.24248 [{-a(n+2)+2*a(n+1)-a(n), a(0) = 218295, a(1) = 749736}, 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 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 6.62011 [{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 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 5.84145 [{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 6.65179 [{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 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 5.84145 [{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 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 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 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 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 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 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 6.64634 [{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 8.50849 [{-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 5.91028 [{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 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 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 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 7.45404 [{-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 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 6.67815 [{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 8.50849 [{-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 5.93816 [{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 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 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 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 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 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 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 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 6.36578 [{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 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 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 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 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 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 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 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 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 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 7.98709 [{-a(n+2)+2*a(n+1)-a(n), a(0) = 9100, a(1) = 40350}, 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 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 7.93613 [{-a(n+2)+2*a(n+1)-a(n), a(0) = 22150, a(1) = 53400}, 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 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 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 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 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 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 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 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 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 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 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 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 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 8.25701 [{-a(n+2)+2*a(n+1)-a(n), a(0) = 5967, a(1) = 25650}, 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 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 7.86056 [{-a(n+2)+2*a(n+1)-a(n), a(0) = 13716, a(1) = 33399}, 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 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 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 8.84936 [{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 8.84936 [{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 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 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 8.88886 [{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 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 8.25701 [{-a(n+2)+2*a(n+1)-a(n), a(0) = 8274, a(1) = 26796}, 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 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 7.86056 [{-a(n+2)+2*a(n+1)-a(n), a(0) = 10248, a(1) = 28770}, 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 5.97840 [{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 7.86056 [{-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 4.81627 [{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 7.86056 [{-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 4.81627 [{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 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 7.00371 [{-a(n+2)+2*a(n+1)-a(n), a(0) = 53000, a(1) = 350754}, 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 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 6.99757 [{-a(n+2)+2*a(n+1)-a(n), a(0) = 244754, a(1) = 542508}, 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 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 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 6.86536 [{-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 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 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 6.86536 [{-a(n+2)+2*a(n+1)-a(n), a(0) = 6468330, a(1) = 15452580}, 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 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 6.86536 [{-a(n+2)+2*a(n+1)-a(n), a(0) = 6988080, a(1) = 15972330}, 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 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 6.91329 [{-a(n+2)+2*a(n+1)-a(n), a(0) = 519420, a(1) = 9503670}, 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] A157814 10.6592 [ -(27227*x+27223)/(x-1)^3 ogf] A157814 15.9335 -2*(54448+27227*x)/(27227*x+27223)/(x-1) lgdogf 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 6.86536 [{-a(n+2)+2*a(n+1)-a(n), a(0) = 8983920, a(1) = 17968170}, 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 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 6.86536 [{-a(n+2)+2*a(n+1)-a(n), a(0) = 8984580, a(1) = 17968830}, 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 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 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 6.44798 [{-a(n+2)+2*a(n+1)-a(n), a(0) = 107760, a(1) = 1835760}, 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 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 6.44798 [{-a(n+2)+2*a(n+1)-a(n), a(0) = 276240, a(1) = 2004240}, 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 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 6.44798 [{-a(n+2)+2*a(n+1)-a(n), a(0) = 384240, a(1) = 2112240}, 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 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 6.41227 [{-a(n+2)+2*a(n+1)-a(n), a(0) = 1343760, a(1) = 3071760}, 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 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 6.44515 [{-a(n+2)+2*a(n+1)-a(n), a(0) = 1727760, a(1) = 3455760}, 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 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 6.44515 [{-a(n+2)+2*a(n+1)-a(n), a(0) = 1728240, a(1) = 3456240}, 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 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 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] 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 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 7.72387 [{-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] 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] 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] 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] 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] 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] 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] 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] 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] 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 6.96152 [{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] 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] 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] 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] 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 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 6.35769 [{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 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 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] 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 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 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 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 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 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 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 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 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 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 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 5.98592 [{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 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 8.83615 [{-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 8.83615 [{-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 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 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 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 8.98444 [{-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 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 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 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 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] 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 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 [{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 9.82662 [{-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 6.49791 [{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 6.49791 [{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 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 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 6.21756 [{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 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 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 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 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 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 6.43196 [{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 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 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 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 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 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 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 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 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 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 A158218 12.8681 [ -(171*x+167)/(x-1)^3 ogf] A158218 23.2057 -6*(112+57*x)/(171*x+167)/(x-1) lgdogf 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 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 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 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 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 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 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 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 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 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 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 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 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 8.93848 [{-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 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 8.93848 [{-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 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 8.83615 [{-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 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 8.83615 [{-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 5.89176 [{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 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] 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 5.89176 [{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 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 5.92064 [{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 8.86070 [{-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 5.92064 [{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 8.86070 [{-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 5.97840 [{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 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 5.94952 [{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 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 8.75559 [{-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 5.97840 [{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 8.75559 [{-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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 8.25495 [{-a(n+2)+2*a(n+1)-a(n), a(0) = 962, a(1) = 1923}, 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 5.90306 [{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 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] 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] 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] 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] 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 6.88518 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n), a(0) = 9, a(1) = 39, a(2) = 89}, ogf] A158450 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 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] 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 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] 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 6.71048 [{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 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] 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] 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] 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 6.58274 [{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] 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 6.58274 [{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] 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] 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] 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] 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] 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] 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 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] 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 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 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] 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 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 6.60283 [{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] 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] 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] 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] 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] 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] 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] 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 6.58798 [{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] 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] 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] 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] 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 6.80657 [{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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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 7.66872 [{-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 6.88218 [{-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 6.49972 [{-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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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 6.27098 [{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 5.88888 [{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] 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] 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] 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] 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] 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] 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] 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] 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 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] 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] 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] 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] 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 5.70861 -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] 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 [{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 6.78551 [{-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 8.39994 [{-a(n+2)+a(n+1)+64*a(n), a(0) = 1, a(1) = 8}, 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 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] 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 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 5.82173 [{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] 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 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] 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] 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] 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 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 9.87846 [{-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 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 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 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] 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 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 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 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 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 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 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 3.86588 [ (4*x^3+22*x^2-2*x-3)/(x-1)/(2*x-1)/(8*x^2-1) 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 7.34632 [{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 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 [{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] 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 6.27895 [{-a(n+3)+a(n+1)+2*a(n), a(0) = 1, a(1) = -2, a(2) = 2}, 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 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 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] 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] 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 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 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] 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 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 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 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] 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] 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 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 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] 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 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 7.62268 [{-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] 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 7.95998 [{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 7.99370 [{-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] 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 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] 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] 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] 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] 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 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 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 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 7.66807 [{-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 7.81111 [{-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 7.58040 [{-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 6.94305 [{-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 6.71058 [{-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 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 6.71098 [{-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 7.81800 [{-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 5.57668 [{-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 7.74837 [{-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] 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 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 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 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] 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] 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] 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] 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] 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 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] A159941 22.1029 (8+11*x+2*x^2)/(2+x)/(2*x+1) lgdegf 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] 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] 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 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 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 5.21657 [{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 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] 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 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 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 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] 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] 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] 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 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 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 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 8.22934 [{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 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 4.97520 [ (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 14.5086 1/2*(-1+(1+4*x^2+8*x^3)^(1/2))/x/(2*x+1) revogf 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] 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] 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 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] 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] 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 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 6.87129 [{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] 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 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] 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] 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] 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] 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 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] 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] 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 7.61565 [{-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] 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 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] 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] 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 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 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 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 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] 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 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 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 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 6.95200 [{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] 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] 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 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] 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 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 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] 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 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 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 8.51785 [{-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 6.51504 [{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 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 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 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] 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 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 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 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 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 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 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 9.99214 [{-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 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 5.99831 [{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 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] 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] 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 6.89602 [{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 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 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 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] 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 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 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 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 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 6.83732 [{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 7.96870 [{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 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 6.69634 [{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 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] 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] 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] 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 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] A162255 12.2058 [{-a(n+2)+2*a(n), a(0) = 3, a(1) = 2}, 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] 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] 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] 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] 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] 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] 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] 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 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 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] 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 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] 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 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 7.61966 [{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 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 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] 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 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 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 8.50945 [{a(n+2)-10*a(n+1)+22*a(n), a(0) = 2, a(1) = 13}, 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 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 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 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 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] A162396 12.0111 [{-a(n+2)+2*a(n), a(0) = 5, a(1) = 2}, 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 9.73288 [ -(x-1)*(x+1)/(x^2+x+1)^2 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 9.43637 [{a(n+2)-12*a(n), a(0) = 1, a(1) = 8}, ogf] A162477 15.9185 -1/2*(-1-2*x+(1+4*x+4*x^3)^(1/2))/x revogf A162478 14.8420 -2*(1+3*x)/(x-1)/(x^4-4*x^3+6*x^2-8*x+1) lgdogf 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 A162480 14.3527 -2*(x-2)*(x^2-x+1)/(x^4-4*x^3+6*x^2-8*x+1) lgdogf 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 6.61541 [{a(n+3)-4*a(n+2)+4*a(n+1)-a(n), a(0) = 3, a(1) = 6, a(2) = 13}, ogf] A162484 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 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 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 7.67603 [{(-2*n-9)*a(n+1)+(2*n+3)*a(n+2), a(0) = 5, a(1) = 35}, 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] 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 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 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 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 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 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 7.86712 [{-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 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] 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 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 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 8.02427 [{-a(n+2)+a(n+1)+100*a(n), a(0) = 1, a(1) = 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 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 5.87304 [{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] 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] 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 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 8.35069 [ (x^2+x+1)*(x+1)/(15*x^3-5*x^2-5*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 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 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 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 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 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 6.80025 [{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 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 9.07694 -(-4-10*x+x^4+x^2)/(x-1)/(x+1)/(x^3-x^2-2) lgdogf 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 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 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 6.74942 [{-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 7.85093 [{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 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 6.81171 [{-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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 7.42884 [ (x^2+x+1)*(x+1)/(1176*x^3-48*x^2-48*x+1) ogf] A162920 8.25584 [ (x^2+1)*(x+1)^2/(x^4-x^3-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 7.66471 [ (x^2+1)*(x+1)^2/(6*x^4-3*x^3-3*x^2-3*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 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 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 93.4208 -3/(x-1) lgdogf 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 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 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 A162968 17.0532 -6*(x+1)^2/(x-1)/(3*x^2+2*x+1) lgdegf 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 6.67635 [ (x^2+1)*(x+1)^2/(36*x^4-8*x^3-8*x^2-8*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 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 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 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 6.84738 [{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 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 7.50694 [{-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 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 6.52884 [{-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 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 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 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 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 7.29951 [{a(n+2)-8*a(n+1)+11*a(n), a(0) = 1, a(1) = 5}, ogf] A163084 8.07837 [ (x^2+1)*(x+1)^2/(66*x^4-11*x^3-11*x^2-11*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 5.92109 [ (x^2+1)*(x+1)^2/(91*x^4-13*x^3-13*x^2-13*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 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 6.20158 [ (x^2+1)*(x+1)^2/(136*x^4-16*x^3-16*x^2-16*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 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 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 7.43646 [{-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 6.89346 [{-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 6.52884 [{-a(n+2)+16*a(n+1)-59*a(n), a(0) = 1, a(1) = 13}, 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 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 6.63085 [{a(n+2)-20*a(n+1)+95*a(n), a(0) = 1, a(1) = 10}, ogf] A163171 5.85324 [ (x^2+1)*(x+1)^2/(231*x^4-21*x^3-21*x^2-21*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 5.94567 [ (x^2+1)*(x+1)^2/(276*x^4-23*x^3-23*x^2-23*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 6.06889 [ (x^2+1)*(x+1)^2/(325*x^4-25*x^3-25*x^2-25*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 5.89974 [{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 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 8.45853 [{a(n+2)-20*a(n+1)+92*a(n), a(0) = 1, a(1) = 10}, ogf] A163207 6.19212 [ (x^2+1)*(x+1)^2/(378*x^4-27*x^3-27*x^2-27*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 6.28453 [ (x^2+1)*(x+1)^2/(435*x^4-29*x^3-29*x^2-29*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 6.50018 [ (x^2+1)*(x+1)^2/(496*x^4-31*x^3-31*x^2-31*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 6.50018 [ (x^2+1)*(x+1)^2/(561*x^4-33*x^3-33*x^2-33*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 5.71700 [ (x^2+1)*(x+1)^2/(630*x^4-35*x^3-35*x^2-35*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 5.77718 [ (x^2+1)*(x+1)^2/(703*x^4-37*x^3-37*x^2-37*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 5.86744 [ (x^2+1)*(x+1)^2/(780*x^4-39*x^3-39*x^2-39*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 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 5.92762 [ (x^2+1)*(x+1)^2/(903*x^4-42*x^3-42*x^2-42*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 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 5.92200 [ (x^2+1)*(x+1)^2/(1035*x^4-45*x^3-45*x^2-45*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 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 6.04103 [ (x^2+1)*(x+1)^2/(1128*x^4-47*x^3-47*x^2-47*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 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 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 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 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 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 6.80025 [{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 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 6.52884 [{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 6.66486 [{a(n+2)-20*a(n+1)+95*a(n), a(0) = 1, a(1) = 11}, 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] 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 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 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 6.81171 [{-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 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 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 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 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 6.75489 [{-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 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 6.52884 [{-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 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] 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 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 7.45367 [{-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 6.75489 [{-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 6.52884 [{-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 6.59685 [{-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] A163450 10.5562 (11-400*x+11000*x^2)/(100*x-1)/(10*x-1)/(800*x^2-99*x+1) lgdogf 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 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 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 6.80025 [{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 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 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 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 6.97829 [{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 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 6.92809 [{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 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 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 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] 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 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 6.87255 [{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 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 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 7.65795 [{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 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 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 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 7.63507 [{-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 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 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 6.83732 [{-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] 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] 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] 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] 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 6.65630 [{-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] 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 6.83885 [{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] 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] A163673 17.1287 -3*(11-7*x+4*x^2)/(x-1)/(6*x^2-11*x+11) lgdogf 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] 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] 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] 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] 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 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] 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] 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] 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] 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] 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] 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 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 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 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] 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] 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 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 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 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 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] 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] 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 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] 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 9.69388 [ -(x^3-9*x^2-21*x-7)/(x-1)^4 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] A163833 19.0048 -(-59-17*x+4*x^2)/(x-1)/(2*x^2-7*x-13) lgdogf 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 8.93990 [{a(n+2)-5*a(n+1)+4*a(n), a(0) = 2, a(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 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] 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 8.93990 [{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] 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] 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 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] 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 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 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 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 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 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 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 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 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 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] 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 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 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 7.96781 [{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 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 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 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 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 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] 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] 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 6.29503 [{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] 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 6.23135 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n), a(0) = 6, a(1) = 42, a(2) = 114}, ogf] A164017 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 7.33073 [{a(n+2)-12*a(n+1)+34*a(n), a(0) = 3, a(1) = 22}, 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 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 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 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 6.77606 [{-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 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 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 6.76682 [{-a(n+2)+10*a(n+1)-23*a(n), a(0) = 2, a(1) = 13}, 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 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 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 5.76772 [{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 5.59674 [{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 5.28731 [{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 5.57513 [{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 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 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 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] 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 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 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 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 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 7.04275 [{-a(n+2)+8*a(n+1)-14*a(n), a(0) = 1, a(1) = 7}, 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 9.49259 [ -9*(x+1)*x/(x-1)/(x^2-34*x+1) 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 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 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 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 6.87704 [{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 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 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] 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 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 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 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 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] 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] 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 6.53479 [{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] 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 7.24404 [{-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 7.24284 [{a(n+3)-a(n+2)-a(n+1)+a(n), a(0) = 7, a(1) = 40, a(2) = 54}, 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] 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 6.34323 [{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 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] 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 9.90181 [{-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 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 7.61966 [{-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 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 6.49075 [{-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 8.50945 [{-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 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 7.69624 [{-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 8.88323 [{-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 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 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 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] 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 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 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 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 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 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 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 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] 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] 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] A164359 10.3260 [{-a(n+4)+a(n+1), a(0) = 1, a(1) = 3, a(2) = 3, a(3) = 2}, 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 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] 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] 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 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] A164395 11.6327 [ (x^2+1)/(x-1)/(2*x^3+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 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 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 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 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 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 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 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 7.18159 [{-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 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 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 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 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 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 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 7.56168 [{-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 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 6.26847 [{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 10.9437 [{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 6.59774 [{-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 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 6.63340 [{-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 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 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 7.56001 [{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 6.74942 [{-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 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 7.43646 [{-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 7.94512 [{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 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 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 7.29548 [{-a(n+2)+10*a(n+1)-17*a(n), a(0) = 1, a(1) = 11}, 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 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 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 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 7.43646 [{-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 6.85881 [{-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 6.74942 [{-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] A164562 7.77149 [-(x^11+x^10+x^6+2*x^5+x^4+1)/(-x^12+1) ogf_with_Euler_transform] 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 8.87528 [{-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 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 4.95057 [{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 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 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 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 9.25777 [{a(n+2)-2*a(n+1)-7*a(n), a(0) = 1, a(1) = 4}, 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 7.83407 [{-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 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 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 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 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 7.36598 [{-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 6.92809 [{-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 6.52884 [{-a(n+2)+18*a(n+1)-79*a(n), a(0) = 1, a(1) = 17}, 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 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 6.93270 [{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 6.85770 [{-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 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 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 7.48553 [{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 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 7.36598 [{-a(n+2)+10*a(n+1)-17*a(n), a(0) = 1, a(1) = 13}, 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 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] 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 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 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 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 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] 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 9.82520 [{a(n+2)-8*a(n), a(0) = 1, a(1) = 6}, 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 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] 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 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] 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 9.87611 [{a(n+2)-8*a(n), a(0) = 1, a(1) = 8}, 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 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 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 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] 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 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 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 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] 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] 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 6.81123 [{-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 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 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 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] 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 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] 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] A164849 4.27454 [ -(x-1)*(x+1)/(10*x+1)/(10*x-1)/(x^2+x-1) ogf] A164854 2.83310 [ -(x-1)*(x+1)/(10*x^2-1)/(x^2+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] 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] 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] 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] 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] 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] 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 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 8.02605 [{a(n+2)-2*a(n+1)-3*a(n), a(0) = 1, a(1) = 5}, 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] 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] 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] 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] 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] 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] 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] 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] 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] 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 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] 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 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] 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 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] 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 5.88927 [{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 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 5.86899 [{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 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 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 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] 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] 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] 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] 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 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 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 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 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] 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 7.51116 [{-a(n+3)+a(n+2)-a(n), a(0) = 1, a(1) = 2, a(2) = 3}, 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 A165204 9.13109 [ -(x^3-2*x^2+8*x-1)/(x^4-3*x^3+8*x^2-3*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 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] 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] 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] 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] A165220 15.8654 -2*(307+418*x+43*x^2)/(x-1)/(43*x^2+250*x+91) lgdogf A165220 9.40701 [ x*(43*x^2+250*x+91)/(x-1)^4 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 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 6.88218 [{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] A165230 15.7602 [ -(7*x-1)/(7*x^2-14*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 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 4.95933 [{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 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 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 5.76641 [{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 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 A165281 5.99265 [ (1901*x^4-2774*x^3+2616*x^2-1274*x+251)/(x-1)^6 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 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] 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 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 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 6.95437 [{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 7.41800 [{a(n+2)-13*a(n+1)+36*a(n), a(0) = 1, a(1) = 6}, 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 6.80025 [{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 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 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 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 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] 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] 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 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 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] 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 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 6.52884 [{-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 7.75728 [{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 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 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 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 A165453 17.3087 [-(-2*x^2-x-2)/(x^2+1) ogf_with_Euler_transform] 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] 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] 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 5.39319 [{-a(n+3)+a(n+2)+a(n+1)-a(n), a(0) = 0, a(1) = 131070, a(2) = 131071}, 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 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 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 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 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 6.83531 [{a(n+2)+a(n+1)-90*a(n), a(0) = 1, a(1) = 10}, 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 6.63085 [{-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 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] 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 6.94807 [{-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 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 6.64596 [{-a(n+2)-4*a(n+1)+5*a(n), a(0) = 1, a(1) = 5}, 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 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 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 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 7.64754 [{-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 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] 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] 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 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 6.89870 [{-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] 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 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 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 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 6.94885 [{-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 6.82290 [{-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 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 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 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 7.98259 [{-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 6.71476 [{-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] 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 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] 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] 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] 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 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 6.85090 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n), a(0) = 19, a(1) = 67, a(2) = 145}, ogf] A165808 11.3623 -(-4579-10995*x+x^3-2091*x^2)/(x-1)/(x^3-1047*x^2-2967*x-403) lgdogf 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 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] 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] 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] 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] 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] 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 9.78557 [{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 6.94968 [{-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] A165942 11.6687 [ -(2520413*x^2+16777500*x+3418)/(x-1)/(x^2+x+1) 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] 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] A165968 6.01999 [{-2*a(n)*n+(-2*n-2)*a(n+1)+a(n+2), a(0) = 0, a(1) = 1}, 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 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 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] 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 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] 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 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 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 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 9.16681 [{a(n+2)-a(n+1)-a(n), a(0) = 6, a(1) = 17}, 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 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 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 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 5.99146 [{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 7.73316 [{-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 8.88872 [{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 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 A166078 12.8450 1/2/(3*x+2*x^2+2)*(3+3*x+(1+6*x+x^2)^(1/2))*x revogf 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] 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] 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 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 6.89829 [{-a(n+2)-4*a(n+1)+5*a(n), a(0) = 1, a(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 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 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 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 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 7.19370 [{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 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 6.84531 [{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 6.90449 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n), a(0) = 1, a(1) = 23, a(2) = 56}, ogf] A166145 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 7.08634 [{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 7.15351 [{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] 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 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 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 7.19370 [{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 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 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 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 6.09416 [{a(n+2)+a(n+1)-72*a(n), a(0) = 1, a(1) = -8}, 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] 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 A166228 15.6775 1/2*(-1-2*x^2+(1+8*x^2)^(1/2))/x/(1+x) revogf 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] A166249 10.6302 [ -(3*x^3-2*x^2-x+1)/(2*x-1)/(x+1)/(x^2-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 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 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] 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] 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] 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] 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] 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] 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 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] 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] 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] 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] 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] 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] 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] 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 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 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 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 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 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 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 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 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 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 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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 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 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] 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 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 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 A166474 22.6308 -(4+6*x+3*x^2)/(x+1)/(x^2-2) lgdegf 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 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 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 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] 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 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 8.18282 [{a(n+3)-a(n+2)-a(n+1)+a(n), a(0) = 2, a(1) = 1, a(2) = 5}, 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 7.70152 [{-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 7.57272 [{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 7.54165 [{-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 7.68598 [{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 7.41225 [{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 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 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 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 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 7.70152 [{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 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 7.57272 [{-a(n+3)+a(n+2)+a(n+1)-a(n), a(0) = 2, a(1) = 10, a(2) = 8}, 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 7.57773 [{a(n+3)-a(n+2)-a(n+1)+a(n), a(0) = 2, a(1) = 12, a(2) = 9}, 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 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 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] 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] 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] A166578 11.4318 [ -(x^3+3*x^2-1)/(2*x-1)/(x-1)/(x^2+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] 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] 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 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] 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 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 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 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] 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] 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] 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] 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] 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] 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] 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 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 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 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 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 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] 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 7.44512 [{a(n+3)-a(n+2)-a(n+1)+a(n), a(0) = 7, a(1) = 5, a(2) = 19}, 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 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 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 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] 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] 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] 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] 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] 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] 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] 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] 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] 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 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] 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] 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] 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 8.36728 -(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 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] 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 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 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 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 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] 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 8.18552 [{a(n+3)-2*a(n+2)+a(n), a(0) = 1, a(1) = 5, a(2) = 11}, 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 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 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 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 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] 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] 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] 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 3.47414 [{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 6.11882 [{-a(n+2)+20*a(n+1)-64*a(n), a(0) = 21, a(1) = 340}, 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 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 5.53919 [{-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 6.67802 [{-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] 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 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 6.46639 [{-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 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] 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] 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] 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] 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 [{-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 6.46639 [{-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] A166978 11.2357 [ -(5*x-1)*(3*x-1)/(x-1)/(2*x-1)/(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] 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 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 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 5.82875 [{a(n+3)-2*a(n+2)-a(n+1)+2*a(n), a(0) = -1, a(1) = 0, a(2) = 0}, ogf] A167031 4.65799 [{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 4.68200 [{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 4.70601 [{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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 5.90925 [ (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 5.90925 [ (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 5.90925 [ (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 5.96527 [ (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 7.79591 [ (37*x^12+x^11+2*x+2)/(x^11-72*x+2) ogf] A167091 7.79591 [ (38*x^12+x^11+2*x+2)/(x^11-74*x+2) ogf] A167092 7.87797 [ (39*x^12+x^11+2*x+2)/(x^11-76*x+2) ogf] A167093 7.91900 [ (40*x^12+x^11+2*x+2)/(x^11-78*x+2) ogf] A167094 8.00106 [ (41*x^12+x^11+2*x+2)/(x^11-80*x+2) ogf] A167095 8.00106 [ (42*x^12+x^11+2*x+2)/(x^11-82*x+2) ogf] A167096 8.04209 [ (43*x^12+x^11+2*x+2)/(x^11-84*x+2) ogf] A167097 8.08312 [ (44*x^12+x^11+2*x+2)/(x^11-86*x+2) ogf] A167098 8.16518 [ (45*x^12+x^11+2*x+2)/(x^11-88*x+2) ogf] A167099 8.16518 [ (46*x^12+x^11+2*x+2)/(x^11-90*x+2) ogf] A167100 8.16518 [ (47*x^12+x^11+2*x+2)/(x^11-92*x+2) ogf] A167101 8.32930 [ (48*x^12+x^11+2*x+2)/(x^11-94*x+2) ogf] A167102 8.32930 [ (49*x^12+x^11+2*x+2)/(x^11-96*x+2) ogf] A167103 8.32930 [ (50*x^12+x^11+2*x+2)/(x^11-98*x+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] 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] 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] 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] 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] 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] 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 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 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 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 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 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 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 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 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 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 7.51961 [ (19*x^13+x^12+2*x+2)/(x^12-36*x+2) ogf] A167127 8.35524 [ -(884736*x^3+68921*x^2+216*x+1)/(1000*x^2-1)/(1000*x^2+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 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 7.72965 [ (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] A167173 7.77165 [ (22*x^13+x^12+2*x+2)/(x^12-42*x+2) 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 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 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 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 8.39953 [{a(n+3)+2*a(n+2)-a(n+1)-2*a(n), a(0) = 1, a(1) = 0, a(2) = 0}, ogf] A167199 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 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 8.10773 [ (25*x^13+x^12+2*x+2)/(x^12-48*x+2) ogf] A167225 8.19174 [ (26*x^13+x^12+2*x+2)/(x^12-50*x+2) ogf] A167226 8.27576 [ (27*x^13+x^12+2*x+2)/(x^12-52*x+2) 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 8.44380 [ (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 [{a(n+3)-a(n+2)+4*a(n+1)-4*a(n), a(0) = 2, a(1) = 2, a(2) = 0}, 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 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] 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] A167381 15.6513 [-(x^3-3*x^2-3)/(x^2+1) ogf_with_Euler_transform] 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 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] 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 8.86388 [ (33*x^13+x^12+2*x+2)/(x^12-64*x+2) 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 8.03941 1/2*(-89-199*x+(89+398*x+445*x^2)^(1/2)*89^(1/2))/x revogf 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] 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] 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 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] 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] 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 7.33709 [{-a(n+3)+a(n+1)-2*a(n), a(0) = 1, a(1) = -4, a(2) = 5}, 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 9.91054 [ -(x^3-30*x^2-98*x-23)/(x-1)^4 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] 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] 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 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 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] 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] 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] 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] 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 7.55435 [{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 6.93027 [{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 7.05861 [{a(n+3)-a(n+2)-a(n+1)+a(n), a(0) = 9, a(1) = 70, a(2) = 88}, ogf] A167537 7.87797 [ (39*x^13+x^12+2*x+2)/(x^12-76*x+2) 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] 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] 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 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 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 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] A167561 20.4955 -2*(5-x+2*x^2)/(x-1)/(2*x^2-2*x+3) lgdogf 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 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 6.50597 [{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 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 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 6.47960 [{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 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] 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 8.00106 [ (41*x^13+x^12+2*x+2)/(x^12-80*x+2) 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] 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 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 [{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] 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] 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 8.04209 [ (43*x^13+x^12+2*x+2)/(x^12-84*x+2) ogf] A167641 8.08312 [ (44*x^13+x^12+2*x+2)/(x^12-86*x+2) ogf] A167642 8.16518 [ (45*x^13+x^12+2*x+2)/(x^12-88*x+2) ogf] A167643 8.16518 [ (46*x^13+x^12+2*x+2)/(x^12-90*x+2) ogf] A167644 8.16518 [ (47*x^13+x^12+2*x+2)/(x^12-92*x+2) ogf] A167645 8.32930 [ (48*x^13+x^12+2*x+2)/(x^12-94*x+2) ogf] A167646 8.32930 [ (49*x^13+x^12+2*x+2)/(x^12-96*x+2) ogf] A167647 8.32930 [ (50*x^13+x^12+2*x+2)/(x^12-98*x+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] 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] 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] 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] 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] 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 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 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 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 7.59815 [ (13*x^14+x^13+2*x+2)/(x^13-24*x+2) ogf] A167670 7.76986 [ (14*x^14+x^13+2*x+2)/(x^13-26*x+2) ogf] A167671 7.98450 [ (15*x^14+x^13+2*x+2)/(x^13-28*x+2) ogf] A167672 8.11329 [ (16*x^14+x^13+2*x+2)/(x^13-30*x+2) ogf] A167673 8.32792 [ (17*x^14+x^13+2*x+2)/(x^13-32*x+2) ogf] A167674 8.45670 [ (18*x^14+x^13+2*x+2)/(x^13-34*x+2) 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 7.60362 [ (20*x^14+x^13+2*x+2)/(x^13-38*x+2) 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] A167693 7.77165 [ (22*x^14+x^13+2*x+2)/(x^13-42*x+2) ogf] A167694 7.98170 [ (23*x^14+x^13+2*x+2)/(x^13-44*x+2) ogf] A167695 8.02371 [ (24*x^14+x^13+2*x+2)/(x^13-46*x+2) ogf] A167696 8.10773 [ (25*x^14+x^13+2*x+2)/(x^13-48*x+2) ogf] A167697 8.19174 [ (26*x^14+x^13+2*x+2)/(x^13-50*x+2) ogf] A167698 8.27576 [ (27*x^14+x^13+2*x+2)/(x^13-52*x+2) 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] 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] 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] A167714 8.44380 [ (29*x^14+x^13+2*x+2)/(x^13-56*x+2) 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 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 8.56982 [ (31*x^14+x^13+2*x+2)/(x^13-60*x+2) 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] 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 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 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 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 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 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 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 8.86388 [ (34*x^14+x^13+2*x+2)/(x^13-66*x+2) 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 8.94791 [ (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 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 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 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] 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 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 6.84958 [{-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 5.78872 [{-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 4.90238 [{-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 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 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 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 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 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 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 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 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] 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 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 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 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] 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] 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 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] 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 5.79966 [ (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] A167914 8.40835 [ (11*x^15+x^14+2*x+2)/(x^14-20*x+2) ogf] A167916 8.40835 [ (12*x^15+x^14+2*x+2)/(x^14-22*x+2) ogf] A167919 7.59815 [ (13*x^15+x^14+2*x+2)/(x^14-24*x+2) ogf] A167922 7.76986 [ (14*x^15+x^14+2*x+2)/(x^14-26*x+2) ogf] A167923 7.98450 [ (15*x^15+x^14+2*x+2)/(x^14-28*x+2) ogf] A167924 8.11329 [ (16*x^15+x^14+2*x+2)/(x^14-30*x+2) ogf] A167926 8.32792 [ (17*x^15+x^14+2*x+2)/(x^14-32*x+2) ogf] A167927 8.45670 [ (18*x^15+x^14+2*x+2)/(x^14-34*x+2) 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 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 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 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 [{-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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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] 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] A168046 31.7100 [x^9-x^8+1 ogf_with_Euler_transform] 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 8.41841 [ (x^4-x^3-2*x^2+1)/(x+1)/(x-1)^2 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] 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 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 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 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] 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 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 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] 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 9.12554 [ -(108*x^3+27*x^2-1)/(9*x^2+3*x+1)/(3*x-1)^2 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] 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] 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 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 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 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] A168102 12.0220 [ (x^4+x^3+x^2-2*x+6)/(x-1)^2 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] 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] 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 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 7.66717 [{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 7.93419 [{-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 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 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] 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 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 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 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 7.86425 [{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 7.73837 [{-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 7.70641 [{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 7.70152 [{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 7.60378 [{-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 7.57257 [{-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 7.54703 [{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 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] 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 8.20712 [{-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 7.91092 [{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 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 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] 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 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 7.79345 [{-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] 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 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 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 7.70152 [{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] 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 7.70152 [{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] 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 [{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 9.95046 [ -(3*x^3-11*x^2+3*x-1)/(x-1)^4 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] 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 7.74459 [{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 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 8.07843 [{-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] 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 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 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 7.54703 [{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] 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 7.60898 [{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] 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 7.71345 [{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 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] 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 7.54165 [{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] 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] 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] 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] 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 7.68179 [{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] 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] 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] 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 7.41225 [{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] 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] 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] 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 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] 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 8.62209 [{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 7.41225 [{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 7.40629 [{a(n+3)-a(n+2)-a(n+1)+a(n), a(0) = 5, a(1) = 5, a(2) = 14}, 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 7.30918 [{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] A168428 10.3306 [{-a(n+3)+a(n+1), a(0) = 1, a(1) = 4, a(2) = 6}, 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] 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 7.30918 [{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] 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 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] 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 7.30918 [{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] 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 7.37981 [{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 7.54942 [{-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 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 7.41512 [{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 A168491 110.915 x*(x+1) revogf 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] 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 A168503 14.4249 1/4-3/4*x^2-1/4*(1+18*x^2+9*x^4-8*x)^(1/2) revogf 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 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 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] 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] 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 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 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 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] 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 7.47984 [{-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 [{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 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 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 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] 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 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 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 7.86712 [{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 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 7.86712 [{a(n+2)-4*a(n+1)+3*a(n), a(0) = 5, a(1) = 7}, 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 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 7.82739 [{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 8.57982 [{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] 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 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] 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 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 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] 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] 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 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 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 7.49404 [{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 [{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 7.80032 [{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 7.90718 [{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] 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 8.34783 [{-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 5.96089 [ (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 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 8.69948 [ (10*x^16+x^15+2*x+2)/(x^15-18*x+2) ogf] A168688 8.40835 [ (11*x^16+x^15+2*x+2)/(x^15-20*x+2) ogf] A168689 8.40835 [ (12*x^16+x^15+2*x+2)/(x^15-22*x+2) 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 8.98718 [ (8*x^17+x^16+2*x+2)/(x^16-14*x+2) ogf] A168734 9.44808 [ (9*x^17+x^16+2*x+2)/(x^16-16*x+2) ogf] A168735 8.69948 [ (10*x^17+x^16+2*x+2)/(x^16-18*x+2) 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 8.98718 [ (8*x^18+x^17+2*x+2)/(x^17-14*x+2) ogf] A168782 9.44808 [ (9*x^18+x^17+2*x+2)/(x^17-16*x+2) 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 7.59167 [{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 7.48738 [{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 7.90877 [{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 8.61840 [{-a(n+3)+a(n+2)+a(n+1)-a(n), a(0) = 4, a(1) = 25, a(2) = 35}, 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 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 6.68034 [{(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 [{-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 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 8.43612 [{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 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 6.53386 [{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 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 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 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] 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 6.66168 [{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 6.19172 [{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 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 5.58526 [{-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 5.76297 [{-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 5.84041 [{-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] 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 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 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 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 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 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 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 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 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 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] A169975 18.6874 [-(x^4-x+1)/(x^8-1) ogf_with_Euler_transform] 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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] 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] 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 7.31295 [{-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 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 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 6.85916 [{-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 6.83058 [{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 6.66365 [{-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 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] 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 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 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 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 9.85173 [ -x*(x-1)*(x+1)/(x^4-x^3-12*x^2-x+1) 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] 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 6.70480 [{-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 7.20928 [{a(n+3)-a(n+2)-a(n+1)+a(n), a(0) = 6, a(1) = 33, a(2) = 47}, 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 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 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 A171199 14.9168 -1/2*(-1+(1-8*x^2+4*x^3+4*x)^(1/2))/(x-1) revogf 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 6.69634 [{-a(n+2)+10*a(n+1)-25*a(n), a(0) = 1, a(1) = 15}, 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] 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 7.96762 [{a(n+3)-2*a(n+2)+a(n), a(0) = 2, a(1) = 3, a(2) = 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] 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] 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 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 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 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 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 7.77513 [{-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 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 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 9.60169 -1/2*(-1-99*x+(1+101*x)^(1/2)*(97*x+1)^(1/2))/x revogf 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] 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 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 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] 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] 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] 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 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 7.22484 [{-a(n+2)+6*a(n+1)-8*a(n), a(0) = 7, a(1) = 30}, 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] 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] 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] 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] 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 5.50086 [{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 5.58337 [{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 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 7.98902 [{-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 7.22484 [{-a(n+2)+6*a(n+1)-8*a(n), a(0) = 6, a(1) = 28}, 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 7.71755 [{-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 7.74428 [{-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] 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] 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 8.62002 [{-a(n+2)+10*a(n+1)+a(n), a(0) = 2, a(1) = 1}, 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 [{-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 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 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 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] 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 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 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 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 5.61088 [{-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] A171627 12.1028 (3+3*x^4-4*x^3)/(-1+x)/(x^4+x-4) lgdogf A171627 8.95418 [ (x^4+x-4)/(x-1) 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 6.22141 [{-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] 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] 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 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 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 5.18037 [{-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 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 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] 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 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 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] 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] 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] 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] 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 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 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 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 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] 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] 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] 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] 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] 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] 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] 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] 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] 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 8.71999 [{-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] 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 7.29580 [{-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 7.47791 [{-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 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 6.93768 [{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 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 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] 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] 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 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 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] 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] 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 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 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 6.91986 [{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 8.55529 [{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] 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] 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 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] 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 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 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] A173013 4.49251 [ (5*x^5+5*x^4-4*x^3-4*x^2-3*x-1)/(x-1)/(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] 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] 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] 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 7.28462 [{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 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 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 8.76812 [{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 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 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 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 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 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 8.81915 [{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 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 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 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] 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 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] A173205 13.0511 [ 1/(x^2-98*x+1) ogf] A173205 18.8468 -2*(-49+x)/(x^2-98*x+1) lgdogf 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 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] 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] A173248 23.3014 (4-3*x^2+5*x^3)/(x+1)/(x^4-x^3-1) lgdogf 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 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 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 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 8.56546 [{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 9.42104 (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 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 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 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] 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 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 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 5.56245 [{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 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] 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] 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] 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 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 7.38192 [{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 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 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 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] 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 6.60594 [{-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 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 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 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 6.80025 [{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 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 6.52884 [{a(n+2)-11*a(n+1)+10*a(n), a(0) = 6, a(1) = 16}, ogf] 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 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 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 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 6.52884 [{-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 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 6.80025 [{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 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 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 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 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 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 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 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 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 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 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 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 4.92432 [{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 4.70297 [{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] 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] 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 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 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 6.88984 [{-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 6.98439 [{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 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] 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 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 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] 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 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] 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 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 A174029 11.5021 [ 3*(3*x^3+5*x^2+6*x+1)/(x-1)^2/(x+1)^2 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 7.57272 [{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 67.2750 -8/(-1+16*x) lgdegf A174091 73.3910 -x*(-1+4*x) revegf 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 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 A174171 13.8145 1/4/x*(-1-x-x^2+(1+2*x+11*x^2+2*x^3+x^4)^(1/2)) revogf 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] 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 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 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 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 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 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 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] 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] 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] A174335 15.4941 -2*(4+7*x+x^2)/(x-1)/(x^2+4*x+1) lgdegf 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] 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] 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] 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 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 6.72183 [{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 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] 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] 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 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 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 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 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 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] 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 4.64937 [{-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 8.91405 [{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] 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] 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 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 8.49954 -(-55*x-6+2*(28*x+3)^(1/2)*(1+9*x)^(1/2)*3^(1/2))/x revogf 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 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 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 5.90646 [{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 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 6.44774 [{a(n+2)-50*a(n+1)+a(n), a(0) = 1, a(1) = 25}, ogf] A174752 8.70980 -(2049-2*x+2049*x^2)/(2049*x-1)/(x^2-4098*x+1) lgdogf 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 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 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 4.85288 [{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 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 4.96117 [{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 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 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 7.37190 -(-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 9.27758 -1/2*(-48*x-5+(46*x+5)^(1/2)*(1+10*x)^(1/2)*5^(1/2))/x revogf 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 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 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 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 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 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] 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 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 6.62987 -(-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] 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 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] A174794 17.6179 -(5+9*x+15*x^2+3*x^3)/(x-1)/(x+1)/(3*x^2+1) lgdogf 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 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 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] 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] 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] 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 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 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 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 6.52097 [{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 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 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 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 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 30.3068 [ 3/(x+1) ogf] A174971 35.9820 [[-1+x] ogf_with_Euler_transform] 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 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] 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 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 7.77685 -(-10-151*x+2*(76*x+5)^(1/2)*(1+15*x)^(1/2)*5^(1/2))/x revogf 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 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] 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 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 5.90128 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] 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] 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] 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 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 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 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] 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 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 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 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 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] A175633 10.2355 -(127-2*x+127*x^2)/(127*x-1)/(x^2-254*x+1) lgdogf 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 6.89864 [{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 5.68259 [{-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] 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 6.22411 [{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] A175659 10.0788 [ -(7*x^2-2*x-1)/(3*x-1)/(2*x-1)/(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 [{-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 5.92952 [{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 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 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] 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 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 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 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 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 A175825 11.5181 [ (128*x+127)/(256*x-1)/(x-1) 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 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] 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 7.10318 [{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 7.17317 [{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 A175912 13.6342 1/2*(-1+2*x+4*x^2+(1-4*x+4*x^3)^(1/2))/x/(1+x) revogf 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] 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 5.82173 [{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] 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 6.93116 [{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 5.62918 [{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 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 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 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] 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 6.80025 [{-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 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] 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 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 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] 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 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] 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 7.81627 [ -(8*x^3-14*x^2+3*x-1)/(4*x^2-3*x+1)^2 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 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 7.50952 [{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 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 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 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 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 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 8.38541 -(-65*x-4+2*(33*x+2)^(1/2)*(1+16*x)^(1/2)*2^(1/2))/x revogf A176373 7.98605 -1/2*(-1-97684*x+(1+9542163852*x^2)^(1/2))/(48842+x) revogf A176377 11.4188 -(251-2*x+251*x^2)/(251*x-1)/(x^2-502*x+1) lgdogf 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 7.53756 -(-15-251*x+(84*x+5)^(1/2)*(50*x+3)^(1/2)*5^(1/2)*3^(1/2))/x revogf 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 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 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 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 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 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] 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 8.35958 [{-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 7.95170 [{-a(n+2)+3*a(n+1)-2*a(n), a(0) = 7, a(1) = 16}, 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] A176513 10.4195 [ (x^2+x+1)*(x-1)*(x+1)/(x^5+x^3+x^2-1) 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 [{-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] 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] 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 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 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 7.12775 [{-a(n+2)+6*a(n+1)-8*a(n), a(0) = 57, a(1) = 242}, 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 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] 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] 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 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 6.28165 [{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 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 6.83846 [{-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] 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] 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] 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] 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] 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 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 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 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 5.70888 [{a(n+3)-5*a(n+2)+7*a(n+1)-3*a(n), a(0) = 2, a(1) = 7, a(2) = 16}, ogf] 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 7.67383 [{-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 7.41800 [{a(n+2)-11*a(n+1)+18*a(n), a(0) = 1, a(1) = 5}, ogf] A176848 15.1725 [ (x^2+x+1)*(x-1)^2/(x^4-2*x^3-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] 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 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 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 5.32197 [{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] 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 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 A176963 10.4926 [ (8*x^2+2*x+1)/(x-1)/(4*x-1)/(4*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 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 6.58352 [{a(n+3)-a(n+2)-4*a(n+1)+4*a(n), a(0) = 1, a(1) = 0, a(2) = 6}, 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] 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 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] 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] 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] 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 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 7.79032 [{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 7.71711 [{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 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 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 6.62626 [{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] 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] 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] 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] 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] 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 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 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 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 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 6.60656 [{-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 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 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 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 8.71949 [{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 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 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 6.18747 [{-a(n+2)+11*a(n+1)-10*a(n), a(0) = 20, a(1) = 380}, 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 6.18747 [{-a(n+2)+11*a(n+1)-10*a(n), a(0) = 12, a(1) = 372}, 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 6.22648 [{-a(n+2)+11*a(n+1)-10*a(n), a(0) = 4, a(1) = 364}, 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] 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] 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] 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] 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] 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 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] 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 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 3.89710 [{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 4.62498 [{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 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 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 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 3.68225 [{-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 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 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 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 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 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 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] 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 3.57283 [{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 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 3.92592 [{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 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 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] 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 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] 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 7.69598 [{a(n+3)-a(n+2)-a(n+1)+a(n), a(0) = 2, a(1) = 13, a(2) = 17}, 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 4.73847 [{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] 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] 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] 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 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 A178143 10.0631 [ -x*(13*x^2+13*x+4)/(x^2+x+1)/(x-1)/(x+1) 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 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] 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 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 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 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 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 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 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 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 6.07723 [{-a(n+2)+1011*a(n+1)-11000*a(n), a(0) = 1, a(1) = 1011}, 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 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] 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 8.32535 [{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] 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 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] 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] 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 7.39389 [{-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 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 7.53945 [{-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 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 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] 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] 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] A178572 14.1791 [ -(14*x+11)/(x-1)^3 ogf] A178572 29.4229 -(47+28*x)/(14*x+11)/(x-1) lgdogf 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] 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 22.5767 1/2*(-1-3*x+(1+6*x+13*x^2+4*x^3)^(1/2))/x/(1+x) revogf 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] 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 3.29395 [{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 3.29395 [{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 4.64393 [{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 3.29395 [{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 3.29395 [{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 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 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 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 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 8.92152 [{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 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 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] 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] 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] A178748 2.98586 [ -(2*x^3-1)/(x+1)^2/(2*x-1)^2 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 12.5496 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] 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 6.80025 [{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 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] 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 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] 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 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] 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 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] A178902 10.5374 [-(-3*x^3+5*x^2-8*x+5)/(x^4-1) ogf_with_Euler_transform] 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] 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 [{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 5.74210 [{-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] 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 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 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 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 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 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 A179237 15.8865 [ (4*x-1)/(x^2+6*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 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 A179297 20.7862 -(-3+7*x+4*x^2)/(x-1)/(2*x-1)/(x+1) lgdogf 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] 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 5.89076 [{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 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] 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 A179555 14.3061 [ -(11*x-10)/(10*x-1)/(x-1) 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 7.47734 -(-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 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 8.15117 [{a(n+2)-15*a(n+1)+50*a(n), a(0) = 10, a(1) = 99}, 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 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] 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 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 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] 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 [{-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 7.80049 [{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 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] 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 5.46630 [{-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 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] 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] 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 5.31491 [{-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] 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] 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] 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 6.50408 [{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] 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] 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] 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 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 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] 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 A179903 15.9630 -(-3-x+x^3-13*x^2)/(x-1)/(x+1)/(x^3-4*x^2+2*x-1) lgdogf A179903 9.19027 [ -(x+1)*(x^3-4*x^2+2*x-1)/(x-1)^4 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 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 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] A179986 13.5571 [ -x*(x+6)/(x-1)^3 ogf] A179986 36.2539 -(19+2*x)/(x+6)/(x-1) lgdogf 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] 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 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 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 6.90479 [{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 6.83173 [{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 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 6.83173 [{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 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 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 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 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 6.86873 [{-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 6.98012 [{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 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 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] 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 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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 8.66999 [{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 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] 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] 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 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 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 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 7.44338 [{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 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 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 20.3513 1/12+1/2*x-1/12*(-(4*x-1)^3)^(1/2) revegf 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] 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] 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] 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] 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 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 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] A180413 13.0325 [ 144*x/(x-1)^4 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] 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 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 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] 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 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] 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 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] 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] 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 6.36578 [{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] 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 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 27.1034 [ -9*x/(x-1) ogf] A180599 60.3051 [[1] ogf_with_Euler_transform] A180599 96.5753 -1/(x-1) lgdogf 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 8.34884 [{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 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 7.50829 [{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 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 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 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 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 5.55471 [{a(n+3)-6*a(n+2)+11*a(n+1)-8*a(n), a(0) = 1, a(1) = 2, a(2) = 5}, ogf] 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] 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 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] 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] 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] 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] 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 6.98439 [{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 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 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 5.61567 [{-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] 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] 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 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 2.79551 [{-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 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 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] 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] A181156 11.7225 [ -(x^3-x^2-21*x-3)/(x^2+4*x-1)/(x^2-4*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 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 4.94971 [{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 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 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 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] 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 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 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 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 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] 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 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 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 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 8.80665 [{-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 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 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 8.65562 [ -(48*x^3+63*x^2+9*x+1)/(x-1) 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 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 6.86798 [{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] 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] 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] A181517 14.0048 1/2/(1+x)^2*(-2*x-1+(1+8*x+8*x^2)^(1/2)) revogf 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 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 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 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 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 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 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] 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] 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] 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] 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] A181655 11.2130 [ (x^4-x^3+2*x+1)/(x-1)/(x+1)/(3*x^2-1) 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 7.56376 [{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 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 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 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 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 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] 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 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 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 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 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 5.54308 [{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] 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 6.69235 [{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 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 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 6.71693 [{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 6.91543 [{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 9.99869 [ -(x-1)*(x+1)^3/(x^2+x+1)/(x^2-x+1) 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] A181989 12.3135 [ -(x^2-4*x-1)/(x^3-5*x^2-7*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] 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 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 36.8733 [ -1/(x^3+x^2-1) 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 6.99062 [{-a(n+3)+a(n+2)+3*a(n+1)+a(n), a(0) = 1, a(1) = 3, a(2) = 5}, 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 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] A182191 11.8340 [ -(x^2+12*x-1)/(x-1)/(x^2-6*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 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] A182215 14.0604 [ -(5*x^3+4*x^2+4*x+2)/(x-1)/(x+1)/(x^2+1) 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] A182255 11.0390 [ -(17711*x^2-32932*x+15383)/(x-1)^3 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] A182323 12.9341 [ (25*x^2+47*x+25)/(x-1)^2/(x+1) 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 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 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 8.86179 [{-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 9.67867 [{-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 5.81961 [{-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] 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] 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] A182461 16.2666 [ -8*(x-2)/(2*x-1)/(x-1) 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 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 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 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 9.85229 [{-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 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] 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] 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 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 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] 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] 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 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 8.32633 2*(1+4*x+9*x^2)/(4*x^2+1+2*x+6*x^3) lgdogf 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] 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 5.97948 [{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 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 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] 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 A182818 17.8038 [-(2*x+3)/(x^2-1) ogf_with_Euler_transform] 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] 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 7.96252 [{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 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 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 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 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 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 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 9.94800 [{-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 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] 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] 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 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] 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 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 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] 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 7.30474 [{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] 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 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 7.41751 [{a(n+3)-2*a(n+2)-a(n), a(0) = 1, a(1) = 4, a(2) = 9}, 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 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 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 6.46230 [{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 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 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 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 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 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 6.41112 [{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 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 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 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 6.60656 [{a(n+2)-8*a(n+1)-12*a(n), a(0) = 6, a(1) = 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 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 6.52884 [{a(n+2)-12*a(n+1)+24*a(n), a(0) = 6, a(1) = 56}, 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 5.74997 [{-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 5.77748 [{-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 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 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 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 4.98594 [{-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 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 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 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 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 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 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 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 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 7.87374 [{a(n+2)-a(n+1)-4*a(n), a(0) = 12, a(1) = 32}, 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 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 6.96273 [{a(n+2)-5*a(n+1)-8*a(n), a(0) = 50, a(1) = 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 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 6.40188 [{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 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 5.43304 [{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 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 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 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 4.49978 [{-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 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 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 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] 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 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] 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 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 5.98602 [{-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 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 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 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 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 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 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 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 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] 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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] 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 5.80309 [{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] 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 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 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] 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 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 7.06666 [{a(n+2)-6*a(n+1)-9*a(n), a(0) = 21, a(1) = 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] 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 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 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 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 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 [{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 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] 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 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 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 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 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 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 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 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 4.82492 [{-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 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 10.2014 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 5.47248 [{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 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 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] A185000 12.5385 [ -(1099*x^4+11100*x^3+1101*x^2+111*x+11)/(x-1)/(x+1)/(x^2+1) 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 6.26394 [{-a(n+3), a(0) = 0, a(1) = 0, a(2) = 1}, ogf] A185013 5.34523 [{-a(n+4), a(0) = 0, a(1) = 0, a(2) = 0, a(3) = 1}, ogf] A185014 4.66153 [{-a(n+5), a(0) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1}, 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 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 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] 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] 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] 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 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 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 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 7.81800 [{-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 7.81800 [{-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 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 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 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] A185338 6.67227 [-(-2*x^8-x^7-x-2)/(x^10-x^8+x^2-1) ogf_with_Euler_transform] A185346 17.0952 [ (17*x-8)/(2*x-1)/(x-1) 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] 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 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 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 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 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 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 4.89302 [{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 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] A185653 17.5757 [-(-6*x-9)/(x^2-1) ogf_with_Euler_transform] 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 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 8.73194 [{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 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 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] 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] 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] 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 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 6.78551 [{-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 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 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 7.96221 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n), a(0) = -1, a(1) = 9, a(2) = 43}, ogf] A185925 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 5.40671 [{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 6.51620 [{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 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 6.51369 [{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 9.48544 [ -(x-1)^2/(x^4-2*x^3+x-1) ogf] A185966 40.1534 x*(1-x+x^2)/(x-1)^2,revogf 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 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 7.28779 [{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 6.71643 [{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 9.85398 [{-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 5.20184 [{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] 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 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] 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 4.78945 [{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] 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 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] 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] A186335 18.0284 -(2*x-1)*(5*x^2+7*x+1)/(5*x^2+x-1)/(x^2+x-1) lgdogf 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 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] 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] 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 6.50210 [{-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 8.85788 [{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 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] 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] 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] 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] 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 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] 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] 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 5.34474 [{-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 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] 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 4.32602 [{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 4.64668 [{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] 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 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 6.80200 [{-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] 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 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] 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] 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 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] 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 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 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 7.93304 [{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] A187149 12.2924 [-(4*x^3+4*x^2+2*x+4)/(-x^4+1) ogf_with_Euler_transform] A187150 11.7812 [-(-4*x^2+2*x-2)/(x^3-x^2+x-1) ogf_with_Euler_transform] 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] 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] 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] 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] 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 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 7.49073 [{a(n+3)-2*a(n+2)+a(n), a(0) = 7, a(1) = 7, a(2) = 8}, 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 8.72257 [{-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 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] 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] 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] 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] 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] 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] 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] 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 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 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] 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 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 8.95152 [{-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 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] 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] 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] 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] 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 6.66168 [{-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] 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] 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 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] 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 5.59050 [{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 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] 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] 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] 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] 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] 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] 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 8.33126 [{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 8.52683 [{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] 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 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] 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] 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] 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 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 [{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 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] 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 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 8.63786 [{-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 6.38474 [{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] 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] 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 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 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 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] A188312 20.2694 1/2/x*(-x^2-1+(x^4+6*x^2+1-4*x^3)^(1/2)) revogf 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] 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] 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 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] 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] 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] 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 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 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 8.84701 [{a(n+2)-11*a(n+1)+18*a(n), a(0) = 4, a(1) = 35}, 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] 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 9.52368 [ -(x-1)*(4*x^2+2*x-1)/(8*x^4-16*x^3+4*x^2+4*x-1) 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] A188573 10.1001 [ 2*x^2*(x-1)/(8*x^4-16*x^3+4*x^2+4*x-1) 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 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] 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] 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] 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 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 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] 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] 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] 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] A188687 17.4462 1/2/(1+x+x^3)*(1+2*x^2+(1-4*x)^(1/2))*x revogf 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] 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] 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 7.33657 [{a(n+2)-5*a(n+1)+3*a(n), a(0) = 5, a(1) = 21}, 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 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] 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 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 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] 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 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 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 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 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 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] 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 6.75682 [{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 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 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] 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] 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 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] 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] 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] 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] 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 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 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 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] 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 6.70480 [{-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] 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] 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 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 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] 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 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] 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] 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 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 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 7.59632 [{a(n+2)-3*a(n+1)-2*a(n), a(0) = 1, a(1) = 6}, 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 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 8.82071 [{-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 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 8.78098 [{-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 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 8.75378 [{-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 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 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 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 8.95280 [{-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 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 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 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 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 8.79467 [{-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 8.98585 [{-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] 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 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 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] 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 6.40365 [{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 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 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] 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] 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] 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] 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 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] 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 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 [{-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 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 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] 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] 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] 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 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 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] 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 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 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 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] 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 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] 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] 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] 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 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 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] 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 6.57306 [{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] 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 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 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] 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 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] 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 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 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 6.73117 [{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 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 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 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 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 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 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 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] A190949 11.0710 [ -(x-1)*(x^2+6*x+1)/(x^2+4*x-1)/(x^2-4*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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 9.85398 [{-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 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 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 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] 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] 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] 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 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 5.84534 [{-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 7.85931 [-(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 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] 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 7.81681 [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 6.63370 [{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 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 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] 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] 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] 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 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 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 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 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 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 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] 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] 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 6.67723 [{-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 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 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 6.57490 [{-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] A191649 17.8576 -(-3-x+2*x^3+3*x^2)/(-x^2+1-6*x+x^4+2*x^3) lgdogf 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 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 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 8.40008 [{-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 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 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 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] 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 7.99908 [{-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] 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] 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] 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] 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 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 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] 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 6.87662 [{-a(n+2)+55*a(n+1)-250*a(n), a(0) = 25, a(1) = 1375}, 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 7.32762 [{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 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 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 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 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 9.03859 [-(4*x^3-6*x^2-4*x-2)/(x^4-2*x^3-2*x^2-2*x+1) lgdogf] 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 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 4.43523 [ (x+1)*(x^2-3*x+1)/(x^4+6*x^3+x^2-4*x+1) ogf] 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 4.71930 [ -x*(x^2+x-1)/(x^4+6*x^3+x^2-4*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 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 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 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 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 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 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 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 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 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 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 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 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] 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 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 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 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 7.56161 [{-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 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 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 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 [ (x-1)^2/(x^2-4*x+1)/(x+1)^2 ogf] A192376 10.1521 [-(2*x^3-8*x^2+14*x)/(x^4-4*x^3+4*x-1) lgdogf] 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] 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] 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] 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 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 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 8.87028 [-(4*x^3+6*x^2-12*x-2)/(x^4+2*x^3-6*x^2-2*x+1) lgdogf] 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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] 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 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 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 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 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 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 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 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 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 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 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 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 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 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 7.87628 [-(-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 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 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 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 7.62919 [-(-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 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 7.74692 [{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 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] 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 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 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 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 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 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 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 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 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 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 5.97318 [{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] 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] 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 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 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 7.61451 [-(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 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 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 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 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 5.78859 [{-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 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 6.17677 [{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 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 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] 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] 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 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 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 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 9.97984 [-(4*x^3-x^2-4*x-4)/(2*x^4-3*x^3-6*x^2+1) lgdogf] 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 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 6.77176 [{-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 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] 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 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 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 6.80240 [{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 6.89432 [{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 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 6.98625 [{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 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 7.08261 [{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 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 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 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 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 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 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 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 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 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 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 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 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 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] 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 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 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 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 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 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 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 4.75373 [{-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] 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] 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] 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] 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] A193248 10.0360 [ (x+1)*(x^2+88*x+1)/(x-1)^4 ogf] A193248 10.0360 [-(x^3+181*x^2+445*x+93)/(x^4+88*x^3-88*x-1) lgdogf] 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] 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 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] 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 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+1)*(x^2+70*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 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] 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 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] 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] 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 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] 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 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] 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] 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 7.65098 [{-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] 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 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 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 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 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 7.15669 [-(-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 5.62239 [{-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 5.78259 [{-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 5.70924 [{-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 5.50086 [{a(n+3)-2*a(n+2)-8*a(n+1)-a(n), a(0) = 1, a(1) = 11, a(2) = 31}, ogf] A193646 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 5.40260 [{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 4.36848 [{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] 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 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 6.96939 [{-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 5.27542 [{-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 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 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] 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 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 6.99991 [{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 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 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 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] 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 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 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 6.92853 [{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] A194350 10.6960 [ -(5*x^3+2*x^2+x+1)/(10*x^4-1) 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 6.96152 [{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 6.71048 [{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 6.25673 [{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] 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 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 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] 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 6.64851 [{-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 6.88809 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n), a(0) = 0, a(1) = 13, a(2) = 78}, ogf] A194715 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 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] 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] 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] 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] 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] 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] 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] 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 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 6.55879 [{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 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] 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] 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 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 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 6.84127 [{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 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 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 6.83560 [{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 6.83560 [{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 6.83560 [{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 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 6.83560 [{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 6.86846 [{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 6.84079 [{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] 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] 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 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 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] 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] 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 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 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 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 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 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 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 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 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 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 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 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] 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 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 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 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 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 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 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 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 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] 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] 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 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 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] 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 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 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] 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 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 6.90594 [{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 6.94277 [{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 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 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 [{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 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] 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] 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] 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] A195350 11.4300 [ -(x^2+3*x-1)/(x-1)/(x^3+3*x^2+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 5.67632 [{-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 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 5.51798 [{-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 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 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 5.91006 [{-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 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 6.67603 [{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 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 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 8.87462 [-(-3*x^2+34*x+17)/(-x^3+17*x^2+17*x-1) lgdogf] 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 8.28344 [-(-3*x^2+74*x+37)/(-x^3+37*x^2+37*x-1) lgdogf] 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 7.91717 [-(-3*x^2+130*x+65)/(-x^3+65*x^2+65*x-1) lgdogf] 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 8.32038 [-(-3*x^2+202*x+101)/(-x^3+101*x^2+101*x-1) lgdogf] 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 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] 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 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] 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 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 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 6.80774 [{-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 6.83786 [{-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] A195878 10.9347 [ (x+1)*(x^2+12*x+1)/(x^4-16*x^2+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] 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 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 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 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 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 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 7.51878 [{-a(n+3)+5*a(n+2)-4*a(n), a(0) = 11, a(1) = 53, a(2) = 255}, 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 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 8.78891 [ 4*x*(2*x^2-2*x+1)/(x-1)/(2*x-1)^3 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] 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 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 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 9.04472 [{a(n+2)-3*a(n+1)+2*a(n), a(0) = 127, a(1) = 253}, 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 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 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 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 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 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 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 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] 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 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 6.97552 [{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 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 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 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 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 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 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 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] 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 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] 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 7.33188 [{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] 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 7.47074 [{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] 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 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 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 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 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] 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 4.69027 [{-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 5.81674 [{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 6.76414 [{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 6.69363 [{-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 6.50570 [{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 5.71628 [{-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 5.90854 [{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 5.68490 [{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 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 4.98489 [{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 4.94154 [{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 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] 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] 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 6.88305 [{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 7.18253 [{-a(n+2)+8*a(n+1)-7*a(n), a(0) = 1, a(1) = 13}, 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 5.65860 [{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 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] 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] 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 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 8.43966 [{-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 8.63593 [{-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 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 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 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 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 7.47128 [{-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 7.54347 [{-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 7.61565 [{-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 7.68783 [{-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 7.68783 [{-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 6.87036 [{-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 7.59317 [{-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 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 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 6.52884 [{-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 6.52884 [{-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 6.18747 [{-a(n+2)+11*a(n+1)-10*a(n), a(0) = 10, a(1) = 109}, 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 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 7.74622 [{-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 7.82070 [{-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 7.96967 [{-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 6.60505 [{-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 7.82070 [{-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 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 7.37288 [{-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 7.67173 [{-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 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 7.96967 [{-a(n+2)+6*a(n+1)-5*a(n), a(0) = 5, a(1) = 27}, 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] 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 7.88641 [{-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 6.89378 [{-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 7.73969 [{-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] 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 7.95977 [{-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 7.95977 [{-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 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 7.97374 [{-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 7.55628 [{-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 6.81123 [{-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 6.91766 [{-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 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 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 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 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 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 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 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 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 A198888 40.5538 -x*(-1+x^3+x^4)/(1+x) revogf 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] A198949 10.7960 [ (x+1)*(x^2+22*x+1)/(x^4-20*x^2+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 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 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 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 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 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 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 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 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 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 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 7.34378 [{-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 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 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 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 7.41306 [{-a(n+2)+12*a(n+1)-11*a(n), a(0) = 1, a(1) = 21}, 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 7.34378 [{-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 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 6.80087 [{-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 6.63085 [{-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 6.86888 [{-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 6.52884 [{-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 6.93688 [{-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 6.73286 [{-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 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 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 6.83487 [{-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 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 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 6.83487 [{-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 6.90288 [{-a(n+2)+13*a(n+1)-12*a(n), a(0) = 2, a(1) = 35}, 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 6.93688 [{-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 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 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 8.28264 [{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 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 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 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 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 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 7.74428 [{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 7.85761 [{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 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 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 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 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 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 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 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 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 7.85794 [{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 7.96967 [{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] 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 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 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 7.82070 [{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 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 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 7.89518 [{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 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 7.74622 [{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 7.96967 [{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 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 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 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 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 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 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] A199338 11.3892 [ (x+1)*(x^2+10*x+1)/(x^4-8*x^2+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 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 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 7.95977 [{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 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 7.90125 [{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 7.97374 [{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 7.97374 [{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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 6.87036 [{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 6.81123 [{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 6.91766 [{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] 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 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 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 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 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 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 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 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 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 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 6.90542 [{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 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 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 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 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 6.97552 [{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 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 7.43120 [{a(n+2)-10*a(n+1)+9*a(n), a(0) = 8, a(1) = 64}, 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 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 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 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] 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 6.97676 [{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 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 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 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 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 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 6.69886 [{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 6.80087 [{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 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 6.86888 [{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 6.93688 [{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 6.73286 [{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 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 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 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 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 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 6.97676 [{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 6.97676 [{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 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 A199804 11.2783 [{-a(n+3)-a(n+2)-a(n), a(0) = 1, a(1) = -1, a(2) = 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 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] 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] 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 5.77390 [{(-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 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 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 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 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 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 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 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 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] 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] 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 8.87759 [{-a(n+2)+4*a(n+1)+13*a(n), a(0) = 1, a(1) = 4}, 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 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 6.94132 [{-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 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 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] 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] 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 7.99370 [{-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] 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 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] 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] 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 [{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] 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 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 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] 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] 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 8.33107 [-(-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 8.06115 [{-a(n+2)+35*a(n+1)-a(n), a(0) = 1, a(1) = 35}, 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] 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 8.95640 [-(x^4-6*x^3+3*x^2)/(x^5-4*x^4+7*x^3-11*x^2+6*x-1) lgdogf] A200753 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 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 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] 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 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 6.66275 [{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 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 8.46030 [{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] A200865 10.9103 [ -(9*x^3+3*x^2+3*x+17)/(x^4+2*x-1) 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 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 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 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 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 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 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 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 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 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] 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 4.86218 [{-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 7.17923 [{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 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 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] 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 9.67937 [{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] 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 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 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 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 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] 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 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 8.49105 [{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 9.82520 [-(-4*x^3+6*x+2)/(-x^4+3*x^2+2*x-1) lgdogf] 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 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 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 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 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] 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 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 6.68164 [{-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 6.60760 [{a(n+2)-1298*a(n+1)+a(n), a(0) = 5, a(1) = 6485}, 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 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 6.84455 [{-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 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] 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] 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 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 6.96180 [{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 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 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 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 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 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 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 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 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 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 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 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 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] 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 5.96582 [{-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 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 5.65916 [{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 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 7.17539 [{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] 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 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 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 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] 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 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 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 5.71485 [{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 5.66642 [{-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 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 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 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 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 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 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 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 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 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 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 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 4.69685 [{-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 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] 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] 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 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 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 6.78341 [{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] 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 4.97528 [{-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 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 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 5.75460 [{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 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 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 11.5793 [-(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 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 5.72037 [{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 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 19.6301 [9/(-9*x+1) lgdogf] A203819 20.3571 [ -144/(9*x-1) ogf] A203819 48.9373 -9/(-1+9*x) lgdogf 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] 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 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 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 5.84693 [{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 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 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 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 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 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 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 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] A203979 10.1568 [{a(n+1)-9*a(n), a(0) = 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 3.46555 [{-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] 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 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 11.1867 [-(-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 9.55794 [ -(4*x^3-10*x^2+5*x-1)/(2*x-1)/(x-1)/(2*x^2-4*x+1) ogf] A204091 10.5763 [-(-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 9.53594 [ -(4*x^3-12*x^2+5*x-1)/(2*x-1)/(x-1)/(2*x^2-5*x+1) ogf] A204102 3.59231 [{-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] 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 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 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 6.69634 [{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] 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] 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] 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 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 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] 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] 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] 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 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 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 5.93925 [{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 3.92758 [{-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] 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 6.28349 [ (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 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] 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 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 5.75125 [{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 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 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 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 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 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 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 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 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 5.59629 [{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 5.56521 [{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 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] 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 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] 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 7.81800 [{-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 7.81800 [{-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 7.81800 [{-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 7.81800 [{-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 7.81800 [{-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 5.89574 [{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] 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 10.9223 [{-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 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 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 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 8.08552 [{a(n+2)-4*a(n+1)+3*a(n), a(0) = 16, a(1) = 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 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] 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 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 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 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] 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 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 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 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 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 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 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 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 5.36309 [{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 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 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 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 4.66619 [{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 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 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 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 3.74913 [{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 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 7.41251 [-(8*x^2-36*x+41)/(-4*x^4+28*x^3-67*x^2+59*x-10) lgdogf] 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 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 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 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 4.63749 [{-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 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 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 13.6286 -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 4.87800 [{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 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 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 8.73964 [{-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 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 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 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] 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 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 [{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 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 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 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 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 7.47413 [-(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] 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 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 5.81953 [{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 6.69510 [{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 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 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 6.12536 [{-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 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 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 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 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 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 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 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 9.41213 [{-a(n+2)+a(n+1)+a(n), a(0) = 13, a(1) = 6}, 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 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 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 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 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 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 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 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 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 6.32797 [{-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 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] 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 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 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 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 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 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] 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 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] 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 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 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 [ -28*(x^4-x^3+6*x^2+23*x+1)/(x-1)^5 ogf] 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] 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 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^4-6*x^3-50*x^2+104*x+13)/(x-1)^5 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] 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] 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] 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] 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 8.14375 [ -6*(4*x^3-2*x^2-5*x-1)/(4*x^2+2*x-1)/(x^2-x-1) 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 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 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 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] 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 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 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 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 9.03864 [-(2*x-18)/(x^2-18*x+1) lgdogf] 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 9.88752 [-(-6*x^2-6)/(x^4-2*x^3-10*x^2+2*x+1) lgdogf] 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 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 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 7.61129 [-(10*x^2-12*x+4)/(-16*x^4+38*x^3-31*x^2+10*x-1) lgdogf] 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 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 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 8.73066 [ -2*(7*x^3-17*x^2-8*x+12)/(x^2-3*x+1)/(x-1)/(x+1) 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 7.94931 [{a(n+2)-a(n+1)-a(n), a(0) = 108, a(1) = 180}, 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 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] 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 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 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 5.18391 [{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 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 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 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 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 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] 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] 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] 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] 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 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 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 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 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 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 4.58596 [{-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 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 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] 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 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 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] 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 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 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 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 5.42948 [{-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 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 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 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 7.66440 [-(8*x^2-12*x+5)/(-16*x^4+40*x^3-34*x^2+11*x-1) lgdogf] 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] 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 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 5.51977 [{-a(n+3)+5*a(n+2)-6*a(n+1)+a(n), a(0) = 8, a(1) = 23, a(2) = 71}, ogf] A208634 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 7.67273 [ -(16*x^3-124*x^2+129*x-32)/(x-1)/(x^3-9*x^2+6*x-1) 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] 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 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 5.87304 [{-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 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 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 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 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 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 5.70827 [{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 6.62759 [ 4*(4*x^3-8*x^2+7*x-4)/(16*x^3-28*x^2+24*x-1) ogf] A208710 8.55923 [ -4*(x^3-3*x-1)/(x+1)/(2*x^3-3*x^2-6*x+1) 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] 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 9.58084 [ 42*(38*x^3+37*x^2-41*x-1)/(x^2+x-1) 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 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 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 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 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] 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 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 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 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] 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] 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] 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] 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] 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 4.52361 [{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 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 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 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 7.56614 [-(-8*x^2+24*x-11)/(32*x^4-72*x^3+60*x^2-21*x+2) lgdogf] 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 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 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 [{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 [ x*(2*x+1)*(4*x^2+20*x+1)/(x-1)/(2*x-1)^5 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] 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 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 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 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 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 5.59068 [{a(n+3)-a(n+2)-8*a(n+1)+8*a(n), a(0) = 9, a(1) = 25, a(2) = 65}, ogf] A209531 4.68657 [{-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 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 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 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] 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] 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 6.97476 [{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 [{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 6.76400 [{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 6.73701 [{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 6.68443 [{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 6.68443 [{a(n+3)-a(n+2)-2*a(n+1)+2*a(n), a(0) = 16, a(1) = 17, a(2) = 18}, ogf] A209729 4.64124 [{-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 6.88177 [{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 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 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 4.92342 [{-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 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 11.8789 [{-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] A209890 13.2606 [ -(6*x+7)/(4*x^2+4*x-1) 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 4.83348 [{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] 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] A209941 11.6477 [-(-6*x^3+6*x^2-12*x+6)/(x^4-1) ogf_with_Euler_transform] A209942 11.8029 [-(-10*x^3+14*x^2-24*x+14)/(x^4-1) ogf_with_Euler_transform] A209944 12.9433 [ -2*(27*x+17)/(12*x^2+6*x-1) 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 4.88205 [{-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 9.83404 [-(-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 9.65024 [-(x^8-x^4+2)/(x^9-x^8+3*x^5-2*x^4+2*x-1) lgdogf] 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] 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] 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] 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 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] 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] 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] 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 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 5.56387 [{-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 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 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 4.56733 [{-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 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 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 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 [{-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 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 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 [{-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 4.78406 [{-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 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 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 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 17.3176 [-(12*x-5)/(6*x^2-5*x+1) lgdogf] A210448 22.9341 [ 3*x/(3*x-1)/(2*x-1) ogf] A210460 11.4860 [ -(x+1)/(x^4+2*x^3+2*x^2+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] 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 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 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 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] 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] 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] 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 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 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 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] 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 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] 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 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 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 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 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 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] A211013 13.3099 [ -x*(x+10)/(x-1)^3 ogf] A211013 15.4395 [-(2*x+31)/(x^2+9*x-10) lgdogf] 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] 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 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 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] A211227 10.7652 [ -(4*x^3+x^2-2*x-1)/(2*x^2-1)^2 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 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 7.56168 [{-a(n+3)+2*a(n+2)-a(n), a(0) = 21, a(1) = 29, a(2) = 41}, 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 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] 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] 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 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 7.66049 [{-a(n+3)+2*a(n+2)-a(n), a(0) = 11, a(1) = 15, a(2) = 21}, 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 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 7.66049 [{-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 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] 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 7.56168 [{-a(n+3)+2*a(n+2)-a(n), a(0) = 25, a(1) = 33, a(2) = 45}, 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 5.98455 [{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 7.66049 [{-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 6.32577 [{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] 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] 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] A211546 8.48354 [ -x^3*(x^3+x^2+x+2)/(x^2+x+1)^2/(x-1)^3 ogf] A211547 10.5283 [ -x^3*(x+1)*(x^2-x+1)/(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 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 7.77980 [{-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 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] 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 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] 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] 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 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 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 7.77980 [{-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 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 5.91079 [-(-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 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 6.80936 [{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] 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 7.77980 [{-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 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 8.77112 [{-a(n+2)+10*a(n+1)-9*a(n), a(0) = 1, a(1) = 19}, 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*(x^4-5*x^3+7*x^2-3*x+3)/(x-1)^5 ogf] 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] 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] 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 4.54326 [{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 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 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] 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 6.66440 [{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 6.69415 [{-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 6.62697 [{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 6.46695 [{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 7.25736 [{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 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 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] 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] 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 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] A212344 12.3594 [2/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdogf] 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 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 7.65208 [-1/8*(-8*x^2+(16*x+25)^(1/2)-16*x-5)/(4*x^2+12*x+9) revogf] 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 7.37398 [{-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 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] 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 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 8.42038 [{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 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] 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] 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] 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] 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] 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] 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] 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] 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 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 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] 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 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 6.76687 [{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 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 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] 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 4.32415 [{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 4.29325 [{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 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 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 5.34345 [{-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] 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] A213002 9.37138 [[1] ogf_with_Euler_transform] A213003 11.1168 [[1] ogf_with_Euler_transform] 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] 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] 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 [ 2*x*(x^2+x+2)/(x+1)/(x-1)^4 ogf] A213045 9.10835 [-(-3*x^3-7*x^2-15*x-7)/(-x^4-x^3-x^2+x+2) lgdogf] 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] 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] A213119 7.64754 [1/8*(8*x^2-16*x-3+3*(16*x+1)^(1/2))/(4*x^2-4*x+1) revogf] 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 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 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] 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] 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] 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] 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] 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] A213387 11.0471 [ -x*(x+2)/(2*x-1)/(x-1)^2 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 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 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 6.87379 [{-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] 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] 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 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] A213624 12.2345 [-(-3*x^4-x^3-2)/(x^5+x^4+x+1) ogf_with_Euler_transform] 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] 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 5.79683 [{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 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 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] A213665 11.2831 [ -(7*x^2+10*x+13)/(x^3+x^2+x-1) 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 9.23183 [-(6*x^2+4*x-6)/(-x^6-2*x^5+5*x^4+6*x^3-9*x^2+1) lgdogf] 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] 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 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 [ (3*x+1)/(2*x-1)/(x-1)^3 ogf] A213764 10.4882 [-(18*x^2+2*x-8)/(6*x^3-7*x^2+1) lgdogf] 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] 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 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] 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 6.75192 [{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] 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 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 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 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 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 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 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 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 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] 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 9.81445 [{-a(n+2)+5*a(n+1)-6*a(n), a(0) = -3, a(1) = -5}, 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 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 4.39948 [{-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 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 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 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 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 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 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 3.99131 [{-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] 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 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] A214372 14.5661 [-x*(x^3+2*x^2+x-1) revogf] 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 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 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 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] 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 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] 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] 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] 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 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] 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 7.26963 [{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] 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 6.96152 [{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 6.37401 [{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] 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 6.29707 [{-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 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 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 6.60046 [{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 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 6.66565 [{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 [{-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 6.82500 [{-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 [{-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 6.27499 [{-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 6.33743 [{-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 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 6.86380 [{-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 6.86380 [{-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] A214863 10.4990 [ (x^2+4*x+11)/(x+1)/(x-1)^2 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 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 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 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 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 6.75111 [{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 6.49576 [{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] 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 4.89033 [{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 5.66805 [{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 5.66805 [{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 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 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 6.57336 [{-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 6.43776 [{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 5.81108 [{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] 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 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 7.72033 [ x*(x^2+6*x+1)/(x^2-3*x+1)/(x^2-18*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 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] A215076 12.8188 [ (4*x^2+6*x-3)/(x^3+4*x^2+3*x-1) 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 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 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 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 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 7.42334 [-(-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 9.94964 [{-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 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 8.81514 [{-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 7.88753 [{-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 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 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 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 5.22745 [{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 8.37500 [-(-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 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] A215459 9.78692 [ -(x^2+1)*(2*x^5-2*x^3-1)/(x-1)^2 ogf] A215465 8.86493 [ -x*(x-1)*(x+1)/(x^2-7*x+1)/(x^2-3*x+1) 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] 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 8.75835 [-(-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] A215494 11.5176 [ -7*(x-1)*(3*x-1)/(7*x^3-14*x^2+7*x-1) 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] 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 8.42149 [-(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 6.90241 [{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] 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 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 6.71965 [{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 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 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 6.24323 [{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] 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] 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 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] A215597 11.0299 [-(4*x^3+4*x^2+3*x+4)/(-x^4+1) ogf_with_Euler_transform] A215598 10.9174 [-(-4*x^3+3*x^2-8*x+3)/(x^4-1) ogf_with_Euler_transform] A215600 12.6232 [-(8*x^3+8*x^2+6*x+8)/(-x^4+1) ogf_with_Euler_transform] 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] 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 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] 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] A215661 13.5530 [-(-2*x^3-x^2+x)/(-2*x-1) revogf] 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 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 [{-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 7.59457 [{-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 8.73828 [{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 8.44576 [{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] 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 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 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 5.93252 [{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 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 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] 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] 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 7.43317 [{-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 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 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 9.86774 [-(5*x^2+4*x+1)/(x^4+x^3-6*x^2-5*x-1) lgdogf] 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 5.69043 [{-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 8.77936 [-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] 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 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 9.17858 [ -4*(16*x^2-67*x-24)/(x-1)^4 ogf] A216106 9.17858 [-(-32*x^2+169*x+163)/(-16*x^3+83*x^2-43*x-24) lgdogf] A216107 8.19868 [ -4*(34*x^3-71*x^2+220*x+42)/(x-1)^5 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] 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 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 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 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 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 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 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 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] A216179 13.8809 [ -(40*x-13)/(10*x-1)/(x-1) 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 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] A216257 10.1446 [ -(110801*x^2-195982*x+86861)/(x-1)^3 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] 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 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] 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] 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] 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] 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] 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 5.60071 [{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] 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 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] 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] 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] 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] 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 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 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 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 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 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 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 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 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 6.77570 [{-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 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 6.46351 [{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 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 6.43896 [{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 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 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 6.37075 [{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] 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] 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] 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] 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 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 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 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 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] 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 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 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] A217516 13.1794 [ -(2*x^4+4*x^3+5*x^2+8*x+7)/(x-1)/(x+1)/(x^2+1) 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 [ -2*(6*x^2-3*x+1)/(2*x-1)^3 ogf] A217527 12.1330 [-(-12*x^2-3)/(-12*x^3+12*x^2-5*x+1) lgdogf] 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 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 6.28181 [{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] A217592 45.9290 [[2] ogf_with_Euler_transform] 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 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 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 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 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 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 7.71537 [-(-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 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 6.84201 [-(-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 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 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] 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 7.29855 [{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 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] 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 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 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] 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] 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] 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] 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] 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 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 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 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] 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] 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 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 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 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 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 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 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] 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] 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] 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] 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 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 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 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] 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 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] A218456 7.54566 [ (20771*x^3-54537*x^2+47411*x-13633)/(x-1)^4 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 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] 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 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 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 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 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 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] 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] 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] 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] 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 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 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] 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 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 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] 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] A218736 10.0240 [-(66*x-34)/(33*x^2-34*x+1) lgdogf] 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 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 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 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 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] A218837 10.3879 [ -(x+2)^2/(x^3+3*x^2+4*x-1) 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] A218984 12.0870 [ -(2*x^2+3*x-4)/(x-1)/(2*x^2+4*x-1) 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 6.49428 [{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 6.55125 [{-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 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] 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 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 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 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 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 5.88218 [{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] 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 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 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 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 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] 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] 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 5.19088 [{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 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] 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 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] 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] 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] 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 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] 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] 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 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] A220087 15.9947 [ (53*x-26)/(2*x-1)/(x-1) 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 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 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 6.73109 [{-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] 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] 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 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] 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 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 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 6.41090 [{-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 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] A220361 10.8696 [ (x^2+4*x+1)/(x^2+4*x-1)/(x^2-x-1) ogf] A220362 11.0432 [ x*(x+3)/(x^2+4*x-1)/(x^2-x-1) 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] 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 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 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 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 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] 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 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 7.81621 [ -(2*x^2+8*x-5)/(x^4-7*x^3+17*x^2-11*x+1) 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] 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 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 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 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 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 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 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] 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] 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 5.39468 [{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 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] 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] 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] 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 6.82160 [{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] A220946 12.0737 [ -(x^3-2*x^2-2*x-1)/(x-1)/(x+1)/(3*x^2-1) 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 5.68681 [{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 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 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 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 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 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 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 6.70335 [ 2*(832*x^4+2108*x^3+313*x^2+4*x+4)/(16*x-1)/(4*x-1) 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 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] 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 6.74420 [{-a(n+2)+12*a(n+1)-9*a(n), a(0) = 2, a(1) = 24}, 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 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 6.70580 [{-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 6.46600 [{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] 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] 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 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 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 9.63193 [{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 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 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 4.32185 [{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 7.67486 [ -2*(5*x-1)/(324*x^4-540*x^3+222*x^2-30*x+1) 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 5.35135 [{-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] A221286 12.9815 [ (71020044435*x-106276436867)/(x^2+x-1) 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 5.34583 [{-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 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 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 6.01048 [{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 5.24253 [{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 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] 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 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 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] 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] A221568 10.0385 [ -2*x*(x^2-2*x+5)/(x+1)/(x^3-2*x^2+4*x-1) 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 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 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 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 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 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 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 [{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 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 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 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 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 7.26283 [{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 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 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] A221763 10.4490 [ -(x-1)*(x^2+5*x+1)/(x^4-20*x^2+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 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 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 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 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 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 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] A221875 10.2566 [ -(x-1)*(x^2+8*x+1)/(x^2+6*x-1)/(x^2-6*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 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 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 5.76641 [{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 5.26985 [{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 4.84172 [{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 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 4.76712 [{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 4.53188 [{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 4.74664 [{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 4.94971 [{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 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 32.9980 [6/(-12*x+1) lgdegf] A221954 85.9241 6/(-12*x+1) lgdegf 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 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 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 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 17.9437 [13/(-13*x+1) lgdogf] A222138 20.7042 [ -4/(13*x-1) 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 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 7.50565 [{-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 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 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 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 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 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 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 6.69768 [{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 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 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 6.66486 [ (48*x^4-116*x^3-55*x^2+35*x-2)/(x-1)/(4*x-1)/(16*x-1) ogf] A222869 4.78495 [{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 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 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 7.47653 [-(196*x^2-28*x+11)/(-196*x^3-28*x^2+17*x-1) lgdogf] 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] 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] 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 7.66622 -(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] 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 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 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 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 3.40242 [{-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 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 4.39948 [{-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 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 6.99738 [{-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 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 3.85752 [{-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 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 7.91147 [{-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 6.68561 [{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 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 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 4.66945 [{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] 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 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 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 5.99134 [{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 7.41105 [-(-36*x^2+84*x+15)/(-468*x^4-504*x^3+63*x^2+105*x-20) lgdogf] 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 7.88769 [{-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 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 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 4.94724 [{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 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 7.73220 [ -(40500*x^3-5451*x^2+2347*x-144)/(129*x^2-38*x+1) 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 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 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 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 4.82104 [{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 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 5.35416 [{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 7.77241 [-(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 6.75489 [{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 7.16700 [-(-30*x^2+30*x-9)/(50*x^4-110*x^3+81*x^2-23*x+2) lgdogf] 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 5.67117 [{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 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 8.89545 [-(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 4.63749 [{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] 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 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 5.93047 [{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 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 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 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 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 5.72795 [{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 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 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 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 7.65870 [ -32*(882*x^3+174*x^2+16*x+1)/(16*x-1) 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 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 6.84819 [-(28980*x^2-1260*x-81)/(-28980*x^3-980*x^2-11*x+1) lgdogf] 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 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 6.74663 [ -256*(6720*x^2+126*x+1)/(130*x-1) 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 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 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 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 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] A223906 10.4221 [ -(144*x^2-102*x+17)/(3*x-1)/(2*x-1)/(4*x-1) 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 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] 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 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 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] 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 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 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 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] 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] 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] 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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] 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 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 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 6.72634 [{-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 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] 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] 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 6.86500 [{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 6.89492 [{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 6.67184 [{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 7.77980 [{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] 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] 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] A224790 14.0425 [ -(75*x-11)/(9*x-1)/(x-1) 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] 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 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] 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 9.44987 [ (36*x^3-66*x^2+17*x-1)/(12*x-1)/(6*x-1)/(2*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 [{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 14.7612 [{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] 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] 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 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] 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 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] 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 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 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 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] 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 6.55435 [{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] 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] 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] 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] 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] 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 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 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 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 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 5.95350 [{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 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 6.42305 [-(-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 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 6.52523 [-(-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] 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 4.91452 [{-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] A225853 13.5258 [-(-2*x^2+3*x-2)/(-x^4+1) ogf_with_Euler_transform] 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] 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 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] 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] A225915 12.9410 [-(16*x-16)/(-x^3-x^2-x-1) ogf_with_Euler_transform] 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] 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] 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] 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] 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] 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] A226194 8.27143 [-(-2*x^7-x^6-x^4-x^2-1)/(x^8-1) ogf_with_Euler_transform] A226199 10.4103 [ (2*x+1)*(3*x-1)/(7*x-1)/(x-1)^2 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 6.49102 [{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 5.95667 [{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 4.94971 [{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 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] A226253 37.9129 [-9/(-x-1) ogf_with_Euler_transform] A226254 36.5644 [-10/(-x-1) ogf_with_Euler_transform] A226255 36.2129 [-11/(-x-1) ogf_with_Euler_transform] 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 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 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 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 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] 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] 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] 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 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 7.52338 [{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 7.78271 [-(-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] 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 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] 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] 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] 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] 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 7.45218 [{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 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 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 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 7.31544 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n), a(0) = 0, a(1) = 3, a(2) = 17}, ogf] A226493 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 8.56344 [-(-2*x^3+96*x^2+198*x-100)/(-x^4+98*x^3-98*x+1) lgdogf] 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 7.76271 [-(-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 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] 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] 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 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] A226635 14.1581 [-(x^3+1)/(x^5-x^4+x-1) ogf_with_Euler_transform] 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 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 5.96750 [{-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 5.96750 [{a(n+2)-4098*a(n+1)+a(n), a(0) = 1, a(1) = 4097}, 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] 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 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 5.91530 [{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 [ (x-3)*(x^2-14*x+25)/(x-1)^5 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] 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] 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 4.77349 [{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 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] 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] 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 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 7.94391 [-(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 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 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] 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] 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] 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 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] 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] 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] A227139 10.9947 [-(2*x-48)/(x^2-48*x+1) lgdogf] A227139 16.1686 [ 1/(x^2-48*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] 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] 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 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 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] 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] A227404 10.5223 [-(2*x-8)/(-x^3+5*x^2-10*x+6) lgdegf] 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] 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 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 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 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 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 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 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] 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 8.82077 [{-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 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] 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] 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 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 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 6.75670 [{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 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 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] 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] A227786 12.3653 [ (x^3+x^2-5*x-1)/(x+1)/(x-1)^3 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 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 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 6.41815 [{-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 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 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 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 6.27391 [{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 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 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 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 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] A228173 17.1514 [x-1+exp(-x^2) revegf] 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] 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] A228208 12.1440 [ (x+1)*(x^2+x+1)/(x^2+x-1)/(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] 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 6.86314 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n), a(0) = 15, a(1) = 49, a(2) = 103}, ogf] A228220 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 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 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 11.4897 [-(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 5.76648 [{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 5.50383 [{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 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 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] 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] A228344 12.0234 [ (x-2)*(x^2+x+1)/(x+1)/(x-1)^3 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] 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] 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] 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] A228470 12.8886 [ -(2*x^3+11*x+3)/(x^4+6*x^2-1) ogf] A228471 12.1397 [ -(x^3+x^2+5*x+3)/(x^4+6*x^2-1) ogf] A228472 13.2920 [ -(x^3+8*x+5)/(x^4+6*x^2-1) 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 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 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 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] 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 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 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 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 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 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 8.80204 [{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 8.31372 [{-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 8.38299 [{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 9.48648 [{-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 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 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 8.66891 [{-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 5.86804 [{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 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] A228678 10.6401 [ -(3*x^2+6*x-5)/(3*x^3+3*x^2-5*x+1) 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 4.89737 [{-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 5.63128 [{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 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] A228700 15.4506 [ 8*x^3/(6*x-1)/(8*x-1)/(2*x-1)/(4*x-1) 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 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] A228748 9.85855 [ -(2*x^3+x^2-6*x+2)/(x^2+x-1)/(x^2+2*x-1) 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 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 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 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 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 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] 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 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] A228834 12.3419 [-(-6*x^3-4*x^2-4*x-4)/(x^4-1) ogf_with_Euler_transform] A228840 13.5567 [ -(15*x-2)/(27*x^2-15*x+1) 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 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 7.88901 [{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] A228871 12.6376 [ (32*x+3)/(64*x-1)/(x-1) 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 11.4503 [-(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] 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] 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] 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 6.26834 [{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] 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] 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] 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 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] 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] 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] 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] 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 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 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] 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] 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] 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] A229280 13.7313 [ -3*x*(5*x-2)/(6*x-1)^2 ogf] A229280 13.7313 [-(-30*x+19)/(-30*x^2+17*x-2) lgdogf] A229280 6.86567 [{a(n+3)-12*a(n+2)+36*a(n+1), a(0) = 0, a(1) = 6, a(2) = 57}, ogf] A229281 13.1734 [ -7*x*(3*x-1)/(7*x-1)^2 ogf] A229281 13.1734 [-(-21*x+11)/(-21*x^2+10*x-1) lgdogf] A229281 6.58670 [{a(n+3)-14*a(n+2)+49*a(n+1), a(0) = 0, a(1) = 7, a(2) = 77}, ogf] A229282 13.9345 [ -4*x*(7*x-2)/(8*x-1)^2 ogf] A229282 13.9345 [-(-56*x+25)/(-56*x^2+23*x-2) lgdogf] A229282 6.90091 [{a(n+3)-16*a(n+2)+64*a(n+1), a(0) = 0, a(1) = 8, a(2) = 100}, ogf] A229283 13.3080 [ -9*x*(4*x-1)/(9*x-1)^2 ogf] A229283 13.3080 [-(-36*x+14)/(-36*x^2+13*x-1) lgdogf] A229283 6.59061 [{a(n+3)-18*a(n+2)+81*a(n+1), a(0) = 0, a(1) = 9, a(2) = 126}, 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] 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 6.63517 [{-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 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 5.29509 [{-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 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 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 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 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 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] 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 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 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 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 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] 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 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] 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 6.45705 [ 2*(4*x^4-16*x^3+18*x^2-6*x+1)/(2*x^2-5*x+1)^2 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 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] 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] 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 7.33073 [{-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 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 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] 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 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] 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 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 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 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 3.45624 [{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] 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 4.31330 [{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] 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 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 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 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 5.96585 [{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] 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 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] 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 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] A230075 10.5896 [{-a(n+4)-a(n), a(0) = 2, a(1) = 1, a(2) = 0, a(3) = 1}, 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 13.2433 [ -(2*x^3-x^2+1)/(2*x^2-1)/(x^2+1) 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] 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 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 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 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] 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] A230280 14.8097 [-(6*x+4)/(-x^2+1) ogf_with_Euler_transform] A230307 10.8608 [ -(5777*x^2-8830*x+3331)/(x-1)^3 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 5.43664 [{-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] 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 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] 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 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 5.30822 [{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 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 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] 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] 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 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 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] 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] 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] 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 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 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 8.30993 [ 2*x*(x-1)*(x^2+2*x-1)/(x^4+3*x^3+2*x^2-4*x+1) ogf] A230835 8.75821 [ -2*x*(2*x^2-3*x-1)/(x^2+1)/(4*x^2-8*x+1) 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 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 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] 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] 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 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 7.90877 [{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 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] 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 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 5.68639 [{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 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 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 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 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 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 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] 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 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 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 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 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 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] 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] A231553 12.4157 [-(3*x^3+6*x^2-x)/(x^2+2*x+1) revogf] A231554 11.9330 [-(2*x^3+2*x^2-x)/(4*x^2+4*x+1) revogf] A231556 12.2611 [-(-2*x^3+4*x^2-x)/(x^2-2*x+1) revogf] 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] A231616 12.2779 [-(-12*x^3+8*x^2-x)/(9*x^2-6*x+1) revogf] A231618 11.4833 [-(3*x^3+2*x^2-x)/(9*x^2+6*x+1) revogf] 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 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 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 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 9.22941 [-(8*x^3+22*x^2-8*x+9)/(4*x^4+6*x^3+7*x-2) lgdogf] 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 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 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 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 7.47555 [-(-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 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 4.12866 [{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 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 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 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 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 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] A232205 13.4728 [-(4*x^2+4*x+2)/(4*x^3+2*x^2-2*x-1) lgdegf] 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 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 9.18352 [ -(3*x^3+3*x^2-x-9)/(x^4-2*x^2-4*x+1) 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 5.55845 [{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 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 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 8.92804 [ (x-1)*(x^3-x-2)/(2*x^4-x^2-3*x+1) 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 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 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 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 [{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] 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 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] 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] 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 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 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] 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 5.71596 [{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] 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 8.40006 [ -x*(x-1)/(2*x-1)/(x+1)^3 ogf] A232603 8.40006 [-(6*x^2-10*x+2)/(2*x^3-x^2-2*x+1) lgdogf] 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] 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 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] 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 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 6.11302 [-(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 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 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] A232801 12.9403 [ -x*(x^2-x-1)/(x-1)/(x+1)/(3*x^2-1) 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] 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 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] 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 7.48487 [{-a(n+2)+2*a(n+1)+2*a(n), a(0) = 9, a(1) = 18}, 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 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 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 5.93660 [{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 4.52088 [{-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 6.92988 [{-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 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] 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] A232971 11.4087 [ -(x-1)*(x^2+4*x-1)/(x^4-x^3-10*x^2+7*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] 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 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 7.26283 [{-a(n+2)+5*a(n+1)+2*a(n), a(0) = 3, a(1) = 15}, 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] 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 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 5.88480 [{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 3.44365 [{-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 7.35988 [-(38*x^2-34*x+14)/(-28*x^4+102*x^3-105*x^2+34*x-3) lgdogf] 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 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 4.40898 [{-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 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 5.39084 [{-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 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 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 4.30625 [{-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] 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 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 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 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 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 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 8.83578 [ (288*x^2-64*x+3)/(16*x-1)/(8*x-1) 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 4.48407 [{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 3.65303 [{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 3.28968 [{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 3.72720 [{-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 7.94851 [ (224*x^3-16*x^2-28*x+3)/(4*x-1)/(32*x^2+8*x-1) 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 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 6.42754 [ (7168*x^3-2016*x^2+156*x-3)/(8*x-1)/(512*x^2-56*x+1) 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 3.76600 [{-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 3.58692 [{-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 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 4.80598 [{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 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 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 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 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 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] 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] 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] 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] 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 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 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 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 7.53123 [{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 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 5.46701 [{-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 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 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] A233828 12.3224 [ -(x^2+3*x-1)/(x^3+2*x^2+2*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 6.51255 [{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 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 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 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 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 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 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 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 5.72245 [{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 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 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 8.17213 [ -4*(512*x^3+120*x^2-77*x-18)/(112*x^4-24*x^2+1) 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] A234259 10.7495 [ -2*(54*x^2-3*x-10)/(2*x-1)/(6*x^2-1) 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 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] 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 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 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] 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 8.97715 [{-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] 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] 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 9.31115 [ x*(27*x^3-50*x^2+19*x+3)/(x-1)^2 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 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 8.51095 [-(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 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 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 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] 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 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 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 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 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 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 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 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 5.73842 [{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] 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] 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] 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 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] 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] 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] A235118 14.6978 [ -(4*x+1)/(64*x^2+20*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 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 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 6.21089 [{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 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 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] A235348 11.7975 [-(5*x^3+2*x^2-x)/(-x^2+1) revogf] A235349 11.7166 [-(2*x^3+x^2-x)/(-x+1) revogf] A235350 13.1019 [-(-x^3-2*x^2+x)/(x^2-1) revogf] A235351 12.7050 [-(2*x^3+3*x^2-x)/(-x+1) revogf] 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] A235399 10.8690 [ (x^4+6*x^3-7*x^2+x+8)/(x+1)/(x-1)^2 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 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 8.51062 [{a(n+2)-6*a(n+1)+7*a(n), a(0) = 16, a(1) = 68}, 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] 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] A235701 7.91632 [ -(x^3+2*x^2-x-1)^2/(7*x^6-14*x^4+7*x^2-1) 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 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 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 5.75580 [{-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 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 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 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 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 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 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 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 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 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 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 4.84687 [{-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 4.89559 [{-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 5.37003 [{-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 4.67646 [{-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 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 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] 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] 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] 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 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 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 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 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 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 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 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] 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 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] 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 6.83277 [{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 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 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] 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 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 6.95891 [ -(x-1)^3/(x^4-4*x^3+6*x^2-6*x+1) ogf] A236580 6.23304 [ -(x-1)^3/(x^4-4*x^3+6*x^2-7*x+1) ogf] A236581 6.76839 [ -(x-1)^3/(x^4-4*x^3+6*x^2-8*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] 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] 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] 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 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 5.90068 [{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 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 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] A237133 12.4238 [ -(x-1)*(4*x^2+9*x+4)/(x^2+x-1)/(x^2-x-1) 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 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] A237254 12.2109 [ -(x-1)*(x^2+3*x+1)/(x^4-5*x^2+1) ogf] A237255 11.8902 [ -(x-1)*(2*x+1)*(x+2)/(x^4-5*x^2+1) ogf] A237262 11.6560 [ -(x-1)*(x^2+3*x+1)/(x^4-8*x^2+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 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 4.29608 [{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 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 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 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 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] 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] 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] 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] 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] 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 8.93451 [{-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 6.75132 [{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 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 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 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 14.9961 [-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 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 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 8.82077 [{-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 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 [{-a(n+3)+a(n+2)+a(n+1)-a(n), a(0) = 0, a(1) = 8, a(2) = 14}, 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] 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] 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 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 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 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 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] A238411 10.0940 [ -2*x*(x^2+x+2)/(x+1)^2/(x-1)^3 ogf] A238411 10.0940 [-(-3*x^3-5*x^2-13*x-3)/(-x^4-x^3-x^2+x+2) lgdogf] 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] 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 [ -(7*x^3+64*x^2+51*x+3)/(x-1)^5 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] 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 [ -(x^3+37*x^2+73*x+14)/(x-1)^5 ogf] A238473 7.63380 [-(2*x^3+114*x^2+366*x+143)/(x^4+36*x^3+36*x^2-59*x-14) lgdogf] 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] A238477 14.5047 [-(-27*x-37)/(-27*x^2+22*x+5) lgdogf] A238477 16.3966 [ (27*x+5)/(x-1)^2 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 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] A238536 11.3773 [ (x^2+8*x+1)/(x^2+3*x+1)/(x^2-7*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 9.11222 [ (x^2+14*x+1)/(x^2-34*x+1)/(x^2+6*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 9.25395 [ (16*x^2+28*x+1)/(x-1)/(8*x+1)/(2*x+1)/(16*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 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 7.72389 [{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] 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 9.89968 [ -(9*x^3+12*x^2-10*x+1)/(x-1)/(3*x-1)/(9*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] 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] 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 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] 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] 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 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 7.72674 [{-a(n+2)+3*a(n+1)+3*a(n), a(0) = 12, a(1) = 36}, 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] 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] 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 7.47895 [{-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] A239053 13.2094 [-(4*x^2+2*x+2)/(-x^3-x^2-x-1) ogf_with_Euler_transform] 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] A239123 13.1964 [-(-107*x-149)/(-107*x^2+86*x+21) lgdogf] A239123 15.3958 [ (107*x+21)/(x-1)^2 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 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 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 8.98825 [{-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 7.89010 [{-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] 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] A239204 10.3863 [4*x/(1+4*x)^(1/2)/(1+(1+4*x)^(1/2))^2 revogf] 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] A239249 12.6933 [ -(2*x^2+x+4)/(2*x^3+3*x-1) 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 5.80911 [{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 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 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 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 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 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 7.37261 [{-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 7.71226 [{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 [{-a(n+2)+38*a(n+1)-a(n), a(0) = 12, a(1) = 456}, 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] 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 7.20907 [{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 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] 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] 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 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 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 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] 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 7.16836 [{-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] A239679 12.2688 [ -(38*x^2-36*x+7)/(x-1)/(2*x-1)/(4*x-1) 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 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 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 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 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 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 7.98968 [{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] 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] 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] 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 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] 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 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 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] 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 6.66168 [{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 6.66168 [{-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 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 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] 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] 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] 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 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 9.27844 [-(-144*x^2-24*x+25)/(-144*x^3+144*x^2+x-1) lgdogf] 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] A240880 13.3007 [-1/8+1/8*(48*x^2+16*x+1)^(1/2) revogf] 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] 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 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 5.60739 [{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 6.52414 [{-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] 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 9.87381 [-(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] 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 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 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 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] 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 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] 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 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 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 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 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] 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 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 7.13605 [{a(n+3)-a(n+2)-a(n+1)+a(n), a(0) = 22, a(1) = 75, a(2) = 119}, 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] 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] 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 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] 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 6.97143 [{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 6.97143 [{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 6.97143 [{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 6.97143 [{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 6.97143 [{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 6.97143 [{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 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 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 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 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 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 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 8.69637 [{-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 8.60437 [-(2*x^3-16*x^2+42*x-20)/(x^4-10*x^3+28*x^2-22*x+3) lgdogf] 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] 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] 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 9.90038 [{-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] 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] 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 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 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 8.99156 [{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 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 7.89208 [{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 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 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] 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 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] A242536 11.2476 [ -(x^2-x-1)/(2*x^4-2*x^3-3*x^2-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 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 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 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 22.7755 [ 252*x/(x-1)^2 ogf] A242570 31.7230 [2/(-x+1) lgdogf] A242570 67.9342 [[2] ogf_with_Euler_transform] 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] 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] 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] 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 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] 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] 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] 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 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] 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] 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 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] A243020 9.13523 [[2] ogf_with_Euler_transform] A243027 10.9304 [ -(9*x^2+8*x+12)/(2*x^3+x^2+2*x-1) 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 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 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] 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 7.58591 [{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] 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] 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] 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 7.77648 [{-a(n+2)+19*a(n+1)+a(n), a(0) = 1, a(1) = 19}, 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] 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] A243513 10.2473 [ -(6*x^2-10*x+3)/(3*x-1)/(x-1)^2 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 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 7.36783 [{-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 6.88874 [{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 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 9.39675 [{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 5.96575 [{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] 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 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 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] A243763 13.5417 [-(-7*x^2-x-6)/(x^3+x^2+x+1) ogf_with_Euler_transform] 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 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 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 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] 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] 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] 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 6.37746 [{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] 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 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] 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 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] 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] 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] A244600 7.96749 [-(-x^5-x^4-x^3-x^2-x-1)/(x^7-1) ogf_with_Euler_transform] 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] 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] 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] 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] 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] 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] 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] 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] 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 4.81828 [{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] 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] 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] 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] 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] 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 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 8.32666 [{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 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 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 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 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 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 8.15800 [-(3000*x^2-2220*x+111)/(1000*x^3-1110*x^2+111*x-1) lgdogf] 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] 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 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] A244895 21.0563 [[x^4-2*x+1] ogf_with_Euler_transform] A244895 8.39010 [ x*(x+1)^2/(x^4+x^3+x^2+x+1) 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] 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 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 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 8.63056 [{-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 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 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] 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] A245306 11.1978 [ -(2*x^3-4*x^2-x+1)/(x^2-3*x+1)/(x-1)/(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 9.89133 [(-(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] 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 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] A245480 13.9089 [ -(2*x+1)*(5*x^2+1)/(11*x^4-1) 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 6.54529 [{-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] 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] 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 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] A245596 9.44249 [ -(x^6+x^3+1)/(x^2+x+1)/(x^4+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] 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] 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] 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] 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 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 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 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 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] 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 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] 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 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 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] 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 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 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] A245990 14.1415 [ -4*(3*x+7)/(x^2+2*x-1) 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 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 6.75781 [{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 3.78028 [{-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 6.54486 [{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] 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] 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] 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 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 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 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 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 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 6.95855 [{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] A246229 5.23466 [3744763744425692221838464/571*x^15*exp(2847841759482134170596738877591443/468095468053211527729808*x^5) ogf_with_Euler_transform] 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] 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 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 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] 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] 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 6.93260 [-(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] A246473 12.1725 [ -2*(4*x^3+3*x^2+2*x+5)/(x^4+x-1) ogf] A246474 12.4182 [ -4*(7*x^2+3*x+15)/(x^3+2*x-1) 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 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 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] 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] 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] 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] 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] A246638 14.1237 [ -(5*x^2-12*x+5)/(x-1)/(x^2-3*x+1) 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 7.89215 [{-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 7.35855 [{-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 7.61130 [{-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 6.34187 [{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 5.76619 [{-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 8.55620 [{-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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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 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] 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] 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] 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] A246953 11.9809 [-(3*x^3+2*x^2-x+2)/(-x^4+1) ogf_with_Euler_transform] A246954 12.3326 [-(-3*x^3-4*x^2-x-4)/(x^4-1) ogf_with_Euler_transform] A246961 10.1006 [ -2*x*(135*x^2-9*x-2)/(15*x-1)/(3*x-1)/(9*x-1)/(5*x-1) 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] A246985 13.9346 [ -(14*x^2-8*x+1)/(6*x-1)/(3*x-1)/(2*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] 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] 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 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] 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 6.87275 [-(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 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] 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] 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] 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 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 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] 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 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] 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] A247325 11.6854 [ x*(x^2+x+1)/(x^4-2*x^3-3*x^2+1) 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 9.12168 [-(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 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] 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 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] 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 7.37378 [-(-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 7.99037 [-(-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 [ -x*(3*x^3-x^2+x+1)/(x+1)^2/(x-1)^3 ogf] 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] 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 7.31013 [{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 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 8.99712 [{-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] A247565 12.9025 [ -(8*x^2-7*x+2)/(2*x-1)/(4*x^2-3*x+1) 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 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 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 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 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 6.56409 [{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 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 6.71604 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n), a(0) = 1, a(1) = 7, a(2) = 25}, ogf] 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] 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 8.18385 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n), a(0) = 1, a(1) = 10, a(2) = 37}, ogf] A247817 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 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 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 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 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 6.68565 [{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] 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] 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] 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] 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] 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 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] A248100 11.0376 [1/2/(x^2+1)*(-1+(4*x^3+4*x+1)^(1/2)) revogf] 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] 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] 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] 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 5.71668 [{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] 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 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 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 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 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 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 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 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 8.38655 [{-a(n+2)+2*a(n+1)-a(n), a(0) = 19, a(1) = 41}, 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 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 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 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] A248429 10.4342 [ -(84*x^3-24*x^2-16*x-29)/(x-1)/(4*x^3-1) 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 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 5.36275 [{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 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] 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] 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] 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] A248604 4.13254 [ -(4*x^4+2*x^2-1)/(2*x-1)/(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 9.87764 [-(-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 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 [ -x*(3*x^2-2*x+3)/(x+1)/(x-1)^3 ogf] A248825 11.3728 [-(-6*x^3-14*x-4)/(-3*x^4+2*x^3-2*x+3) lgdogf] A248833 12.2193 [ -5*(5*x^2-13*x+2)/(x-1)/(x^2-8*x+1) 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 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 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 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 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 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] A249222 14.0454 [ -(5*x^3-5*x-1)/(x-1)/(x+1)/(5*x^2-1) ogf] A249227 12.6101 [{a(n+1)-2*a(n), a(0) = 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 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] A249311 13.1564 [ -(x+1)*(8*x^2-8*x-1)/(8*x^4-10*x^2+1) ogf] A249312 11.9642 [ -(x+1)*(10*x^2-10*x-1)/(10*x^4-12*x^2+1) ogf] A249313 12.4449 [ -(x+1)*(12*x^2-12*x-1)/(12*x^4-14*x^2+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] A249356 9.67800 [ -(x^5-x^4+15*x+1)/(x^2+1)/(x+1)/(x-1)^3 ogf] A249450 12.2666 [ (3*x-1)*(x-2)/(x-1)/(x^2-3*x+1) 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] A249453 12.2100 [ -(12*x^2-13*x+4)/(2*x-1)/(x-1)^2 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 8.67424 [ -10*(30*x^2-27*x+1)/(3*x-1)/(9*x^2-34*x+1) 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] 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] 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 6.72338 [-(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 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 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 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] 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 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 6.29541 [{-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 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] A249910 13.8749 [ -(4*x^3+x^2+2*x+2)/(x-1)/(x+1)/(x^2-x+1) 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 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 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 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] 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] 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] 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] 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] 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] 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] 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] 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] 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 9.90843 [{-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 7.67876 [-(-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 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] 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 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 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 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] 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 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 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] 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 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 [{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 6.35136 [{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 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 8.30993 [ -2*(8*x^3-27*x^2+33*x-13)/(x-1)^3/(2*x-1) ogf] A250606 7.90207 [ -(32*x^3-110*x^2+145*x-57)/(x-1)^3/(2*x-1) ogf] A250607 8.04342 [ -2*(32*x^3-111*x^2+155*x-60)/(x-1)^3/(2*x-1) ogf] A250608 7.58946 [ -(128*x^3-446*x^2+649*x-247)/(x-1)^3/(2*x-1) ogf] A250609 7.69063 [ -2*(128*x^3-447*x^2+669*x-251)/(x-1)^3/(2*x-1) 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 7.59982 [{-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 7.71614 [{-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 7.79369 [{-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 6.98982 [{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 6.83642 [{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 6.75253 [{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 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 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 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 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 8.62586 [{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 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 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 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 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 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 5.48711 [{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 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 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 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 4.90645 [{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 6.79869 [{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 6.64408 [{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 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 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 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 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 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 5.71645 [{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 5.78151 [{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 5.50237 [{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 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 5.65001 [{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 5.88545 [{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 8.35740 [ -2*(2*x-3)*(8*x^2-15*x+6)/(x-1)^3/(2*x-1) ogf] A250772 8.47911 [ -2*(32*x^3-107*x^2+115*x-36)/(x-1)^3/(2*x-1) ogf] A250773 7.91887 [ -2*(64*x^3-212*x^2+231*x-72)/(x-1)^3/(2*x-1) ogf] A250774 8.03648 [ -2*(128*x^3-421*x^2+463*x-144)/(x-1)^3/(2*x-1) 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 7.85448 [{-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 5.57757 [{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 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 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 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 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 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 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 4.95678 [{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 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 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 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 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 6.56367 [ -(384*x^3-740*x^2+457*x-100)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) 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 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] 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 3.89695 [{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 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 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 5.32151 [{-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 6.76052 [-(-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 5.46008 [{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 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 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 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 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 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 4.69650 [{-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 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 5.59805 [{-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 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 4.74517 [{-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 4.92390 [{-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 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 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 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 4.92342 [{-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 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 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 5.59866 [{-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 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 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 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 4.87593 [{-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 5.64221 [{-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 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] A251655 11.9083 [ x*(x-1)*(x+1)/(x^4+x^3+x^2+x-1) 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] 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 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 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] A251705 10.3578 [ (3*x^3+x^2-1)/(x^4+x^3+x^2+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 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 8.63229 [{a(n+2)+6*a(n+1)-9*a(n), a(0) = 1, a(1) = -3}, 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 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 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 5.64200 [{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 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 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 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 7.45924 [-(2*x^3-36*x^2+210*x-104)/(x^4-22*x^3+120*x^2-106*x+7) lgdogf] A251990 4.52401 [{-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 4.52401 [{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 4.67089 [{-a(n+3)+1155*a(n+2)-1155*a(n+1)+a(n), a(0) = 232, a(1) = 267920, a(2) = 309179640}, ogf] A252004 3.87630 [{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 4.48887 [{-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 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] 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 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 8.36646 [-(-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 5.60273 [{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 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 5.88779 [{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 5.58910 [{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 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 4.92794 [{-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 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 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 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 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 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 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 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] 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 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 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 8.90991 [{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 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 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 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 4.87046 [{-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 6.32577 [{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] 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 7.67662 [ 2*(2*x^4+13*x^3-45*x^2+12*x+8)/(2*x-1)/(x-1) 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] 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 9.61405 [ (2*x^4+17*x^3-13*x^2-207*x+109)/(2*x-1)/(x-1) ogf] A253156 9.61405 [ (2*x^4+17*x^3-13*x^2-351*x+181)/(2*x-1)/(x-1) ogf] A253157 9.61405 [ (2*x^4+17*x^3-13*x^2-639*x+325)/(2*x-1)/(x-1) 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 6.22141 [{-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 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 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 8.95314 [{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 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 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 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 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 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 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 6.59133 [{-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 7.67662 [ (2*x^4+17*x^3-57*x^2+10*x+16)/(2*x-1)/(x-1) 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] 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 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 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 7.83754 [-(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 7.87452 [-(2370*x^2-2388*x+606)/(-64*x^4+2562*x^3-4957*x^2+3072*x-613) lgdogf] 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 9.73768 [ (2*x^4+11*x^3+4*x^2-134*x+69)/(2*x-1)/(x-1) ogf] A253438 9.74397 [ (2*x^4+9*x^3+15*x^2-219*x+109)/(2*x-1)/(x-1) ogf] A253439 9.74397 [ (2*x^4+9*x^3+15*x^2-363*x+181)/(2*x-1)/(x-1) ogf] A253440 9.74397 [ (2*x^4+9*x^3+15*x^2-651*x+325)/(2*x-1)/(x-1) ogf] A253441 9.65941 [ (2*x^4+9*x^3+15*x^2-1227*x+613)/(2*x-1)/(x-1) 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 5.47269 [{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 5.44848 [{-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 5.97838 [{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 5.95367 [{-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 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 6.51034 [{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 6.22141 [{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 6.58199 [{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 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 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 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 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 4.73733 [{-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 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] 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] 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 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 5.64221 [{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] 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 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 5.88888 [{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 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] A253918 11.0723 [-1/4*x^2-1/4+1/4*(x^4+2*x^2+8*x+1)^(1/2) revogf] 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 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 5.66626 [{-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 7.82276 [{-a(n+2)+2*a(n+1)-a(n), a(0) = 15621, a(1) = 31246}, 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 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 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] 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 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] 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] A254362 11.7396 [ -(47*x^2-45*x+10)/(2*x-1)/(3*x-1)/(x-1) 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] 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 6.57822 [{-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 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 8.50420 [-(-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] 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] 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] 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 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 6.79716 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n), a(0) = 0, a(1) = 1, a(2) = 30}, ogf] 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 7.20324 [{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 9.57468 [{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 8.65671 [{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 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 8.51921 [{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 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] 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] 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 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] 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 8.53951 [{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 8.40612 [{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 8.93385 [{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 8.89616 [{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 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] 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] 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] 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] A254757 13.2854 [ (x+17)/(x^2-6*x+1) 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 6.89378 [{-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 6.78551 [{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 5.73133 [{-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] 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 7.31544 [{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 7.91729 [{-a(n+2)+10*a(n+1)-9*a(n), a(0) = 2, a(1) = 22}, 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 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 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 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 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 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 8.21765 [-(-6*x^4-12*x^2-2*x-6)/(-6*x^5-12*x^3+x^2-6*x+1) lgdogf] A255138 5.40548 [{-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] A255163 12.4525 [ -(1+14*x)/(12*x^2-12*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 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 6.69769 [{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 6.69769 [{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 6.73085 [{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 6.76400 [{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] A255220 6.22917 [ (7*x^4-17*x^3+13*x^2-18*x+23)/(x-1)/(x^3+x-1) ogf] A255221 8.52015 [ (7*x^4-20*x^3+10*x^2-24*x+23)/(x-1)/(x^3+x-1) ogf] A255222 9.47866 [ -(19*x^3-3*x^2+16*x-22)/(x-1)/(x^3+x-1) ogf] A255223 9.52380 [ -(28*x^3-3*x^2+25*x-31)/(x-1)/(x^3+x-1) ogf] A255224 9.52380 [ -(40*x^3-3*x^2+37*x-43)/(x-1)/(x^3+x-1) ogf] A255225 9.56894 [ -(58*x^3-3*x^2+55*x-61)/(x-1)/(x^3+x-1) ogf] A255226 9.65921 [ -(85*x^3-3*x^2+82*x-88)/(x-1)/(x^3+x-1) 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 8.52829 [{-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] A255257 10.7888 [-(3*x^3-x^2+5*x-1)/(-x^4+1) ogf_with_Euler_transform] 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 6.55070 [{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 6.63153 [{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 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 6.85100 [-(-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] 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 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] 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 9.91956 [{-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 7.97627 [{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 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] 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 [{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] 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 9.53590 [{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 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] 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 6.79951 [-(-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] 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] 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 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 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 [{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] 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] 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 5.66865 [{-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 5.99049 [{-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 5.55293 [{-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 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 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 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 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 7.43923 [{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 7.17014 [{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 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 7.37754 [{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 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 6.89559 [ (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 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 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 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 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 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 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 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 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 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 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 9.11706 [ (10*x^4+10*x^3-2*x^2+8*x+1)/(x-1)/(x+1)/(10*x^2-1) ogf] A256178 10.9514 [ 1/(x^2-3*x+1)/(x^2-18*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 6.64440 [{-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 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] 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 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 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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 6.87817 [{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] 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 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 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] 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] 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 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] 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 9.11188 [-(-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] 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 5.44999 [{a(n+3)-4*a(n+2)-2*a(n+1)-a(n), a(0) = 4, a(1) = 18, a(2) = 81}, ogf] A257061 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] 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] 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] 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 8.60968 [-(x^4+8*x^3+6*x^2+8*x+1)/(x^6+x^5+x^4-x^2-x-1) lgdogf] 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] A257145 20.8431 [[x^4-2*x-1] ogf_with_Euler_transform] 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 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] 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] 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] 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 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 7.52175 [{-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 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 8.56047 [{-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 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 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] 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] 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 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] 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 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 8.69903 [ (3*x^4-62*x^3+6*x^2-62*x+65)/(x-1)/(x^3+x-1) ogf] A257445 8.78110 [ (x^4-87*x^3+4*x^2-85*x+90)/(x-1)/(x^3+x-1) 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 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 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] A257542 13.2019 [ -(x^4-x^3+2*x^2-2*x-1)/(x-1)^2 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] 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 9.64290 [{-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] 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] 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 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 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] 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] 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 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 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] 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] 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 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 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 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 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] 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] 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 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 9.54166 [{-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] 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] 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 9.73278 [-(-4*x^3+9*x^2+7*x+7)/(-2*x^4+x^3+7*x^2-x-2) lgdogf] 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 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 5.32309 [{(-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] 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 5.77390 [{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] 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 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 9.75902 [-(14*x^2+25*x+13)/(-5*x^5+5*x^4+17*x^3-4*x^2-12*x-1) lgdogf] A258597 13.9545 [{a(n+1)-3*a(n), a(0) = 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 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] 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] 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] 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 7.98770 [{-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] 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 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 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] 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] 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] A258771 12.4777 [-(-5*x^3+7*x^2-12*x+7)/(x^4-1) ogf_with_Euler_transform] A258779 11.6011 [-(4*x^3-2*x^2+8*x-2)/(-x^4+1) ogf_with_Euler_transform] 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] 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] A258835 12.6979 [-(-4*x^4-x^3-3)/(x^5+x^4+x+1) ogf_with_Euler_transform] 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 [{-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 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] 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 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] 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 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 6.58018 [{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 6.35713 [{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 6.73458 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n), a(0) = 227, a(1) = 265, a(2) = 307}, ogf] A259060 8.10730 [ -2*(2584*x^3-8285*x^2+8902*x-3213)/(x-1)^4 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] 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] 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 4.46109 [{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 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] 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 6.32577 [{-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 6.36035 [{-a(n+3)+3*a(n+2)-a(n+1)-2*a(n), a(0) = 13, a(1) = 23, a(2) = 40}, ogf] A259217 9.22885 [ -2*(16*x^3+x^2-28*x+12)/(2*x-1)/(x-1)/(x^2+x-1) ogf] A259218 9.15731 [ -(64*x^3+8*x^2-109*x+45)/(2*x-1)/(x-1)/(x^2+x-1) ogf] A259219 8.56447 [ -(128*x^3+24*x^2-213*x+85)/(2*x-1)/(x-1)/(x^2+x-1) 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 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 8.39072 [{a(n+2)-a(n+1)-3*a(n), a(0) = 9, a(1) = 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 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 7.79617 [{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 5.62226 [{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+76*x^3+230*x^2+76*x+1)/(x-1)^6 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] 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 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] A259508 10.4354 [ -(8*x^2-9*x-11)/(2*x^3-3*x^2-2*x+1) 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 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] 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] 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] 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] 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 7.23746 [{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] A259593 13.7342 [ -(x^2-3*x-2)/(x^4-4*x^2+1) ogf] A259594 11.1359 [ -(x+1)*(x^2-2*x-1)/(x^4-10*x^2+1) ogf] A259595 11.2858 [ (x^3-3*x^2+7*x+3)/(x^4-10*x^2+1) 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 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 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 7.93188 [-(40*x^3-33*x^2+22*x-11)/(10*x^4-11*x^3+11*x^2-11*x+1) lgdogf] 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 9.67937 [{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 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 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] 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 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] 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 9.99537 [{-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] 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] 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 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 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 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 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 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 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 9.10936 [-(-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 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 11.5950 [-(-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 6.48963 [{-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 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] 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] 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] A260164 9.12789 [-(x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(-x^8+1) ogf_with_Euler_transform] 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] 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] 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] 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] 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] 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 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] 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] 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 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] 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] A260314 14.2073 [-(x^3-4*x^2+4*x-4)/(-x^4+1) ogf_with_Euler_transform] 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] 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] A260515 10.0404 [-(-x^5+4*x^4-x^3-2*x+4)/(x^6-x^4+x^2-1) ogf_with_Euler_transform] 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] 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 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 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 7.64068 [{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 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 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] A260771 12.1296 [-(x^2-x)/(x^3+x^2+x+1) revogf] 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 9.78370 [1/4*(2*x+3+(-4*x^2-4*x+1)^(1/2))/(x+1)*x revogf] 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] A260846 10.8409 [ 2*(8*x^2-5*x-1)/(x-1)/(15*x-1)/(3*x-1) 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 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 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 6.91117 [-(-131072*x^3+57600*x^2+8736*x-289)/(-65536*x^4+65792*x^3-257*x+1) lgdogf] 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 2.62258 [{-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 [{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 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 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] 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] 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 6.31306 [{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 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 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 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 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 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 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 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] A261241 8.20176 [ -(2584*x^3-8285*x^2+8902*x-3213)/(x-1)^4 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] 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 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] 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 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] 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] A261397 10.2972 [{-a(n+2)+3*a(n+1)+9*a(n), a(0) = 0, a(1) = 3}, 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 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] 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] 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] 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 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 6.14401 [{-a(n+2)+1001*a(n+1)-1000*a(n), a(0) = 1, a(1) = 1001}, 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] 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 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] 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] 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] 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] 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] 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] 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] 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] A261972 10.1830 [ -(x^2-14*x+25)/(x-1)/(x^2-14*x+1) 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 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 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] 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 5.59675 [{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 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 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] 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 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 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 5.31976 [{-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 5.82882 [{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 7.92991 [-(2*x^3-22*x^2+70*x-34)/(x^4-12*x^3+42*x^2-36*x+5) lgdogf] A262141 4.93564 [{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 4.91380 [{-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] 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 7.50199 [{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 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 5.70888 [{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 5.34777 [{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 6.68837 [{-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] 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] 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] 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 6.31647 [{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 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] 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 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] A262614 10.0986 [-(x^5+2*x^4-x^3+3*x^2-x+2)/(-x^6+1) ogf_with_Euler_transform] 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 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 20.5892 [ -29/(841*x-1) ogf] A262716 10.7077 [{a(n+1)-961*a(n), a(0) = 31}, ogf] A262716 21.0330 [ -31/(961*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 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] 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 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 21.0789 [ -37/(1369*x-1) ogf] A262787 11.2265 [{a(n+1)-1681*a(n), a(0) = 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 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] 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 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] 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] 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] 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 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] 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 8.71160 [{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 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 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 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 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 6.69769 [{-a(n+3)+3*a(n+2)-3*a(n+1)+a(n), a(0) = 0, a(1) = -7, a(2) = 11}, ogf] A263244 4.32932 [{-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] A263313 10.5390 [ (2*x^4+x^3+x^2-3*x+3)/(x+1)/(x^2+1)/(x-1)^2 ogf] A263318 4.11645 [ -x*(x^4-x^3+3*x^2-x+1)/(x^2+x+1)^3/(x-1)^9 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] 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] A263426 10.5390 [ (x^3+2*x^2-3*x+2)/(x-1)^2/(x^2+1) 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] 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] A263511 13.3393 [ -(2*x^3+x+1)/(x+1)/(x-1)^3 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] 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 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 5.44585 [{a(n+3)-4*a(n+2)-2*a(n+1)+8*a(n), a(0) = 4, a(1) = 10, a(2) = 40}, ogf] 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 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 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] 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] A263790 12.0540 [ -(2*x^3+3*x-1)/(x^4-2*x^3+2*x^2-4*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 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 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] 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] 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 4.19311 [{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] 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 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 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 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 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 4.72323 [{-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] 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 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 4.93778 [{-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] 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] 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 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 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 8.91986 [ -(3*x^3+13*x^2+3*x+9)/(x^2+1)/(x^2+4*x-1) 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 9.04913 [ -(2*x^3+9*x^2+4*x+9)/(x^2+1)/(x^2+4*x-1) 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] 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 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 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] 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 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 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 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 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 5.32197 [{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 5.77067 [{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 5.96380 [{-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 4.22820 [{-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 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 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 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] 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] A264551 12.2286 [ -(4*x^3+2*x^2+1)/(8*x^4+2*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] 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 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] 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] 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 8.86044 [{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 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] 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 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] A265284 13.3435 [ (x^4-2*x-1)/(x+1)/(x-1)^3 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 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] A265611 10.7168 [ (x^4-2*x^3+2*x^2-x-1)/(x+1)/(x-1)^3 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] 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 5.39390 [{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 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] 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 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 5.80418 [{-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 6.85275 [{-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 5.83028 [{-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 6.48902 [{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 5.89291 [{-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] 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 9.71818 [{-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 6.25355 [{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 8.85689 [-(-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] 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 9.00433 [ (x^2+2*x+3)/(x^4-7*x^3-7*x^2-3*x+1) 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 8.75187 [{-a(n+2)+4*a(n+1)-6*a(n), a(0) = 1, a(1) = 2}, 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 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 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 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] 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] 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] 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] 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] 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] 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] 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 9.40080 [{a(n+2)-10000*a(n), a(0) = 1, a(1) = 110}, 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 5.96585 [{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] 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 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 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] 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] 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 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] 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] 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 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 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] A266303 12.3290 [ (2*x^3-x^2+2*x+1)/(x-1)^2/(x+1)^2 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 [ x*(x^2-4*x-1)/(x+1)^2/(x-1)^3 ogf] A266304 10.0483 [-(3*x^3-15*x^2-7*x-5)/(x^4-4*x^3-2*x^2+4*x+1) lgdogf] 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 11.8995 [-(-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 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 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 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] 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] 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 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 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 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 [ -x^2*(x^2-5)/(x-1)^2/(x+1)^2 ogf] A266439 11.5545 [-(2*x^3-18*x)/(x^4-6*x^2+5) lgdogf] A266439 6.21327 [{(2*n+5)*a(n)+(-2*n-1)*a(n+2), a(0) = 0, a(1) = 0, a(2) = 5}, 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] 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] 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 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 5.96585 [{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 8.55506 [-(-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] 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 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 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] 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 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 6.64767 [-(-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 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 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 5.83335 [{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] 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 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 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 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 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 5.89168 [{-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 5.77312 [{-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] 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] 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] A266722 12.3290 [ -(x^2+1)*(x^2-2*x-1)/(x-1)^2/(x+1)^2 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] 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 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 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] 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 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 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 6.32580 [{-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 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] 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 9.89465 [{-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 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 7.25950 [{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 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] 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] 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] 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] 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] 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 6.35230 [{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 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] 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] 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] 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 7.51411 [-(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] A267183 12.6126 [ (2*x^4-5*x^3+x^2+2*x+1)/(x^2+x+1)/(x-1)^2 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] 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] 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] 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 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 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] 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] 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 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] 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 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 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] 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 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 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] 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] 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] 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 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] 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] A267529 12.7655 [ -(x^4+x^3+1)/(x+1)/(x-1)^3 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 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 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 5.06197 [{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 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] 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] 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] 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 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 4.88302 [{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 6.90202 [-(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 5.66454 [{-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 7.97642 [-(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 4.90028 [{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 7.36206 [-(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 10.7506 [{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 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 8.94878 [-(x^2+18*x-10)/(10*x^4-21*x^3+22*x^2-12*x+1) lgdogf] 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 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] 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 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 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 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 9.17381 [ -(8*x^4-22*x^3+13*x^2-3*x+1)/(2*x-1)/(4*x-1)/(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 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 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 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 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 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 7.94171 [{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 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 4.32932 [{-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 5.93309 [{-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 4.44632 [{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 6.55272 [-(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] A267797 13.8646 [ -4*(x-19)/(x^2-18*x+1) 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 7.84663 [{-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 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] 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] 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 3.83906 [{-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 9.06056 [ -(32*x^4-64*x^3+34*x^2-6*x+1)/(2*x-1)/(4*x-1)/(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] A267831 9.39872 [ (3*x^3+7*x^2-5*x-1)/(x-1)/(x^2+1)^2 ogf] 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 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 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 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] 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] 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] 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] 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 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 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] 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 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] 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 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] 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] 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 6.27269 [{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 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 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 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 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 6.78408 [-(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 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 5.90404 [{-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 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 5.22267 [{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 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 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] 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 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 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 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 6.79542 [-(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 6.16336 [{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] 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 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 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 8.00751 [{a(n+3)-a(n+2)-a(n+1)+a(n), a(0) = 3, a(1) = 9, a(2) = 13}, 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 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 6.90067 [-(-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 6.47704 [{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 10.9538 [-(-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 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] 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 5.99573 [{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 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 5.76011 [{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] 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] 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 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] 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 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 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 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 10.5131 [-(-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] 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 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 6.49352 [{-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 7.89802 [{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 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] 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] 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] 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] 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] 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] 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] 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] 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 8.98791 [{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 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 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 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 7.87466 [{-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 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 [ 3*(4*x+1)/(4*x-1)^2 ogf] A268898 12.6963 [-(16*x+12)/(16*x^2-1) lgdogf] 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 6.93805 [{-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 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 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 [ 12*x*(x-1)*(x-3)/(3*x-1)^2 ogf] A268905 10.3994 [-(-10*x+14)/(3*x^3-13*x^2+13*x-3) lgdogf] 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] 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 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 5.60995 [{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 5.43597 [{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 4.89046 [{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 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 4.96563 [{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 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 6.97190 [{-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 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 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 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 7.98608 [ -(x^3-7*x^2+11*x-4)/(x^2-3*x+1)^2 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] 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 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 7.86111 [{-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 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 6.05453 [ 12*(4*x^4-16*x^3+18*x^2-6*x+1)/(2*x^2-5*x+1)^2 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 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 10.8139 [{-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 6.05388 [ 6*(2*x-1)*(x-1)*(4*x^2-11*x+4)/(2*x^2-5*x+1)^2 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 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] 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 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] 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 10.7815 [{-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] 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 6.54320 [ 4*(x^4-x^3-x^2-11*x+4)/(x^2-6*x+1)^2 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 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 6.01553 [ 4*(4*x^4-4*x^3-9*x^2-13*x+4)/(2*x^2+5*x-1)^2 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 6.88177 [ 4*(18*x^3-77*x^2+5*x+4)/(x+1)^2/(6*x-1)^2 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 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] 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] 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] 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] A269270 11.1558 [ 4*(9*x+1)/(9*x-1)^2 ogf] A269270 11.3931 [-(81*x+27)/(81*x^2-1) lgdogf] A269270 6.22648 [{-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 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 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 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 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 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 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] 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] 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] 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 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] 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] 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 5.30600 [{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 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 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 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 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 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 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 6.35385 [{-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 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 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 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 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 [{-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 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 6.78771 [-(-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 5.74812 [{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 9.90098 [ -5*(5*x^2+2*x-1)/(4*x-1)/(6*x^2+3*x-1) 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 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 4.99058 [{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 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 5.88218 [{-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 9.89132 [ -5*(2*x^2+3*x-1)/(4*x-1)/(3*x^2+4*x-1) 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 5.30600 [{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 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 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 4.51665 [ -(4*x^3+3*x^2+2*x-1)/(4*x-1)/(3*x-1) ogf] A269712 3.81885 [ (2*x^2+x+1)/(2*x-1)/(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 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 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 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] 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 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] 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 [{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 5.30600 [{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 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 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 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] 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 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 [ 4*(6*x^2+x+1)/(x-1)^2/(x+1)^3 ogf] A269879 9.50899 [-(-18*x^3+2*x^2-16*x)/(-6*x^4-x^3+5*x^2+x+1) lgdogf] 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] 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 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 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 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 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 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 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] 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 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 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 8.39163 [ 6*x^2*(2*x+1)/(x-1)^4 ogf] A270218 4.13937 [ (8*x^3-14*x^2+3*x-1)/(2*x-1)/(4*x-1)/(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] 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 7.17449 [{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 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] 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] 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] A270444 13.9135 [ 2*(2*x+1)/(4*x^2-8*x+1) 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 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 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 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 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] 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] A270567 10.5052 [{a(n+2)-5*a(n+1), a(0) = 1, a(1) = 9}, ogf] A270567 20.4426 [ -(4*x+1)/(5*x-1) ogf] A270567 20.4426 [-9/(20*x^2+x-1) lgdogf] 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 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 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 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 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] 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 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] 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] A270715 11.6626 [ -(x^2-x-1)/(x-1)/(x^3+x^2+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] A270765 13.8685 [exp(x)+(2*x+3)/(x+1) lgdegf] A270797 13.3471 [ -x*(2*x^2-4*x-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) 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] 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 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 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 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 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] 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 7.60567 [{-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 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 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 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 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 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 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 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 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 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] A271115 4.85888 [ (x+1)*(x^4+50048*x^3+410874753*x^2+50048*x+1)/(x^6-80640398*x^3+1) ogf] A271144 8.07441 [ -(277367*x^3-805149*x^2+778233*x-250703)/(x-1)^4 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] 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 11.3040 [{-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 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 4.08188 [ (32*x^3-26*x^2+3*x-1)/(2*x-1)/(4*x-1)/(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 9.49335 [{-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 8.91263 [{-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 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] 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 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 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] 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 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 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 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 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] 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] 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] 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] 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 8.35851 [{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] A271638 10.8607 [ (x^2+4*x+1)/(2*x-1)^2/(x-1)^2 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] 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 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] 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 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 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 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 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] 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] 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 8.16924 [{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 6.58428 [{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 6.98461 [{-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] 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 8.88306 [-(-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 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] 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] 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 7.92987 [{-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 [{-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] 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 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 7.57993 [{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] A272073 13.6180 [ 3*(x+1)^2/(x^4-4*x^2+1) 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 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] 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 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 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 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 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] A272144 12.2091 [ x^2/(x+1)/(2*x-1)/(x-1)^3 ogf] A272144 12.2091 [-(10*x^2-4)/(2*x^3-x^2-2*x+1) lgdogf] 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 8.47892 [{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 6.59168 [{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 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 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] 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 6.84825 [{-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] 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 [ -x*(155*x^3+339*x^2+81*x+1)/(x-1)^5 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] 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 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 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] 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 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] 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] 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 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] 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] A272690 14.8153 [ -(24*x-1)/(46*x-1)/(2*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 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] 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 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 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 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 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] A272912 14.2799 [ (x^5-x-1)/(x^4+x^2-1) 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 8.99712 [{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] 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 7.26329 [{-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] 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 8.48279 [{-a(n+2)+16*a(n+1)-a(n), a(0) = 2, a(1) = 34}, 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 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 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 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 8.75795 [{-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 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 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 7.23643 [{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] A273226 16.1750 [-(-3*x^3-3*x^2-3)/(-x^4+1) ogf_with_Euler_transform] A273228 16.8282 [-(-4*x^3-4*x^2-4)/(-x^4+1) ogf_with_Euler_transform] 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 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 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] 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 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] 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] 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] 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 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 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] 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 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] 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 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 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] 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 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] 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 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 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 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 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 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 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 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 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 9.03565 [ (x^2-10*x+1)/(x^2-34*x+1)/(x^2-6*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 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 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 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] 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 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 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] 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 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 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] 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 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] 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 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 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 5.67333 [{-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 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 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 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 6.31437 [{-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 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] A274110 12.6837 [ -(x^4+x^2-1)/(x-1)/(x+1)/(x^3-x^2+2*x-1) 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 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] 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] 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 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 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] 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 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] 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 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] 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] 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 7.96736 [{-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] A274497 15.5674 [ 2*x^2/(2*x+1)/(2*x-1)^2 ogf] A274497 15.5674 [-(-12*x-2)/(-4*x^2+1) lgdogf] 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] 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] 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 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 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 5.69043 [{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 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] 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 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 5.80248 [{-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 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 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 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 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] 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 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 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] A274817 11.4479 [ -(x^3+6*x^2-3*x+1)/(x+1)/(2*x-1)/(x^2-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 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] 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 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] 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] 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 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 7.46130 [{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] 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] 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] 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 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] 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 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 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 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 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 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 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 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 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 6.79768 [{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 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 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 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] 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] 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] 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 5.23444 [{-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 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] 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 4.98672 [{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 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 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 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 7.23742 [{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 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 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 7.51649 [{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 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 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] 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] A275766 12.4495 [ -6*(25*x-26)/(25*x-1)/(x-1) 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 6.53930 [{-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] 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 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 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 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 7.59296 [{-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] 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 9.47164 [-(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 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 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] 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] 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 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 7.46325 [{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 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 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 9.85593 [{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 8.96322 [{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] 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] 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 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] A276228 12.8525 [ -(2*x^2+2*x+3)/(x^3-2*x^2-x-1) 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] 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 9.85291 [{-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 8.86630 [{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 6.87531 [{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 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] A276285 10.8434 [-(13*x^2-13*x+26)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A276286 11.2506 [-(14*x^2-14*x+28)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A276287 10.9643 [-(15*x^2-15*x+30)/(-x^3-x^2-x-1) ogf_with_Euler_transform] 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] A276289 14.2688 [ -(x+1)*x/(2*x-1)^3 ogf] A276289 17.2415 [-(4*x+7)/(2*x^2+x-1) lgdogf] A276289 7.38921 [{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 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 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 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 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 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 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 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 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 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] 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 8.75052 [-(-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] 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 7.54353 [{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 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] 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 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] 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] 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 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 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] 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 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 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 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 5.99146 [{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] A276924 12.7525 [ -24/(x^4+4*x^3+12*x^2+24*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 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 9.07613 [{-a(n+2)+4*a(n+1)-3*a(n), a(0) = 12, a(1) = 66}, 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 8.35376 [{-a(n+2)+4*a(n+1)-3*a(n), a(0) = 12, a(1) = 60}, 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] A277113 11.5688 [ (35*x^3+34*x^2+34*x+34)/(x+1)/(x^2+1)/(x-1)^2 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] 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] A277252 13.8752 [ x*(x^2-x-1)/(x+1)/(x^3+x-1) 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] 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] 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] 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] 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] 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] A277426 13.7089 [{a(n+1)-64*a(n), a(0) = 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 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 8.56047 [{-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 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 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] 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 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 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 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 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 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 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] A277798 10.8403 [ (11*x^3-x^2+1)/(x-1)/(10*x+1)/(10*x-1)/(x+1) ogf] A277799 13.2249 [ (12*x^3-4*x^2+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A277800 12.7180 [ (3*x^3-x^2+1)/(x-1)/(2*x+1)/(2*x-1)/(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 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 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] A277867 12.3694 [ (x^3-x^2+2*x+1)/(x-1)/(2*x+1)/(2*x-1)/(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] 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] 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 5.86559 [{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 6.19403 [{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 6.83693 [{-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 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 6.43316 [{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 6.76465 [{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 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 7.63963 [{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 [{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 6.77171 [{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 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 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 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 7.58860 [{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 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 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 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 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 7.36199 [{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 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 7.87918 [ -x*(2*x^2+2*x-9)/(6*x^4-3*x^3-6*x^2-6*x+1) 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] 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 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] 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 8.98919 [{-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 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] 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 9.92351 [{-a(n+2)+3*a(n+1)-2*a(n), a(0) = -10, a(1) = 215}, 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 9.99951 [{-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 8.75671 [{-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 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 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 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 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 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] A278310 10.9787 [ (x^2-38*x-3)/(x-1)/(x^2-34*x+1) 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] 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] 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] A278438 10.1239 [ (x^2-106*x-7)/(x-1)/(x^2-98*x+1) 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] A278461 13.5871 [-(x^3-4*x^2+x)/(x^2+2*x-1) revogf] A278475 11.6532 [ -(x^2+x-1)/(x-1)/(x^2+29*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 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] 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 8.63403 [-(-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 3.26084 [{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 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 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 3.26084 [{-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] 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 6.84673 [-(-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] 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] 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 3.97108 [{-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] 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 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] 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 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] 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] 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 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 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 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] A279204 8.40160 [ -(7200000*x^9-7398000*x^8-739980*x^7-71010*x^6+123*x-1234)/(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] 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] 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] 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] 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 6.39899 [{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] 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 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] 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 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 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] 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 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 5.91561 [{-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 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] 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] 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 7.85391 [(-1/(4*x-1)^(1/2)/(x-1)*(2*x^2+2*x-1)-I)/(4*x-1)^(1/2)/x lgdogf] A279574 8.68761 [ -4*x*(6*x-1)/(4*x^2-8*x+1)^2 ogf] A279574 8.68761 [-(-72*x^2+64*x-10)/(-24*x^3+52*x^2-14*x+1) lgdogf] 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] 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 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 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 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 7.59215 [-(-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 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] 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 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 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] 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] 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] 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 6.14054 [{-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 5.55840 [{-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 5.55840 [{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] A280111 10.8902 [ (2*x^2-19*x-1)/(x-1)/(x^2-38*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 5.78750 [{-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 4.51980 [{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 10.7700 [{-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 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 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 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 5.61799 [{-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] 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] 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 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] 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 8.76638 [{-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 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] 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] A280345 13.0116 [ -(5*x^2-x-3)/(x-1)/(2*x-1)/(x+1) 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] 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 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] 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] 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] 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 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 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] A280668 10.6082 [ -(3*x+4)/(8*x^2+14*x-1) 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 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 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 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 7.33921 [{-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] 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] 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] 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 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 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] 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 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] 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] 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 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 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] 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 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 8.79475 [{a(n+2)-6*a(n+1)+a(n), a(0) = 32, a(1) = 96}, 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 8.90036 [ -2*x*(2*x-1)/(4*x^2-8*x+1)^2 ogf] A281320 8.90036 [-(-24*x^2+32*x-14)/(-8*x^3+20*x^2-10*x+1) lgdogf] 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] A281387 11.6736 [ -(4*x^3+x^2-11*x-4)/(x^2+x-1)/(x^2-x-1) 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 7.72562 [{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 6.60194 [{-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 6.40977 [{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] A281503 10.4908 [ -(x-1)*(x^2+4*x+1)/(x^4-46*x^2+1) ogf] A281504 10.9550 [ (x+1)*(5*x^2+12*x+5)/(x^4-46*x^2+1) 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] 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 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] 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] 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] 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 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 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] 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 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 4.64393 [{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 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 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 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] 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 9.34208 [-(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 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 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 9.15371 [ -(10*x^2+1)*(100*x^2-10*x-1)/(x-1)/(10*x+1)/(10*x-1)/(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] A282005 10.8689 [ -(2*x^2+1)*(x^2-x-1)/(x-1)/(2*x+1)/(2*x-1)/(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 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 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 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] A282122 10.6515 [ -(90*x^2-11*x-1)/(x-1)/(10*x+1)/(10*x-1)/(x+1) ogf] A282123 13.6180 [ (x^2+3*x+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A282124 14.1054 [ -(2*x^2-3*x-1)/(x-1)/(2*x+1)/(2*x-1)/(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 5.89035 [{-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 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] 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 5.52836 [{-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 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 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 9.54354 [ -(x^3-10*x^2-x-1)/(x-1)/(10*x+1)/(10*x-1)/(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] A282454 12.0180 [ -(8*x^3-2*x^2-2*x-1)/(x-1)/(2*x+1)/(2*x-1)/(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] 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] 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 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] 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 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] 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] 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 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] A282641 10.5755 [ -(4*x^2+7*x+4)/(4*x^3+3*x^2+x-1) 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] 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 9.92723 [{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] 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 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] A282798 12.8914 [ (4*x^3+2*x^2+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A282799 12.7180 [ (2*x^3+2*x^2+1)/(x-1)/(2*x+1)/(2*x-1)/(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] 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 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 6.65316 [{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 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 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 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] 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 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 8.88101 [{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] 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] 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] 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 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] 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 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] 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 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 [{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 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 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 [{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 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 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 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] 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 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 5.33927 [{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] 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] 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 5.86559 [{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 9.80500 [{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 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] 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 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 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 11.3148 [{-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 8.56517 [{-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] 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 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] 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] 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 5.99146 [{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 5.86559 [{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 6.93058 [{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 6.83693 [{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] 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 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] 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 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 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] 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 7.82917 [{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] 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] 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 [{a(n+3)-2*a(n+2)-a(n), a(0) = 1, a(1) = 3, a(2) = 5}, 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 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] 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 8.82622 [{-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 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] 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 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 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 5.41944 [{-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 5.85300 [{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 9.04648 [ (x-1)*(3*x-1)*(9*x-1)/(216*x^3-195*x^2+32*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 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] A285474 11.2581 [ -(x^2-11*x-1)/(x+1)/(x-1)/(10*x+1)/(10*x-1) ogf] A285475 13.4340 [ -(x^2-3*x-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A285476 13.6600 [-10/(-10*x-1) lgdogf] 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] 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] 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 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 6.74534 [{-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] 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 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 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 6.72011 [{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 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 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] A286346 17.0485 [-(-12*x-24)/(x^2-1) ogf_with_Euler_transform] A286350 12.4287 [ -x*(x^2-2*x+2)/(x^2-x+1)/(x^2+x-1) 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] A286399 12.9294 [-(-12*x^2-4*x-8)/(x^3+x^2+x+1) ogf_with_Euler_transform] 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 10.9538 [-(-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] 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 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] 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] 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 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 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 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 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 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 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] 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 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 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 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 7.65175 [{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 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] 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 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 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 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 6.79368 [{-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 6.95198 [{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 [{-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 5.45214 [{-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 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 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 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 [{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] A287469 15.3596 [ 1/(10*x+1)/(10*x-1)/(10*x^2-1) 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] A287471 7.57744 [ (12*x^2-28*x+13)/(4*x-1)/(2*x-1)^2/(x-1)^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 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 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 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 6.70480 [{-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] 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] 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] 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] 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] A287804 12.6894 [ -(3*x^2-1)/(x^3+5*x^2-5*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 6.96049 [-(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 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 9.49233 [-(12*x^2-16*x+6)/(12*x^4-12*x^3-4*x^2+6*x-1) lgdogf] A287808 9.66418 [ -(2*x^4-4*x^2+1)/(6*x^4-6*x^3-8*x^2+7*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 6.67005 [-(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 8.48151 [{a(n+2)-6*a(n+1)-3*a(n), a(0) = 1, a(1) = 7}, 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 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] 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 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 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 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 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 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] 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 8.65671 [{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 8.65671 [{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 8.65671 [{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 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 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 6.71425 [-(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 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 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 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 9.65040 [ -(x^2+1)*(x+1)/(x^4+2*x^3+2*x^2+2*x-1) 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] A287991 26.2702 [-48/(-x-1) ogf_with_Euler_transform] 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 6.74273 [{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 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] 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 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 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 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] 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 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 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 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 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 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] 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 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] 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 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] 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] 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 [-(-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] A288698 10.2316 [ -(1000*x^4-100*x^2+10*x+1)/(10*x-1)/(10*x+1) ogf] A288699 13.5975 [ -(2*x^4-x^2+x+1)/(x-1)/(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] 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 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 6.54687 [{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 8.86044 [{-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] 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] 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] 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 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] 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 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] 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 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] 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] 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 6.76830 [{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] 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 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] 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] 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] 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] 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 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 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 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 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 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] 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] 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 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 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 7.73771 [{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] 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] 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 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 8.90190 [ -x*(x^4+x^2+2*x-1)/(x^2+x-1)/(x^3-x^2+3*x-1) ogf] 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] 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 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] A289781 11.4320 [ -(x-1)*(x+1)/(x^4+3*x^3-x^2-3*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 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 8.69177 [{-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 8.68871 [{-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 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] A289787 10.8536 [ 2*(x^2+1)/(x^4-6*x^3+6*x^2-6*x+1) ogf] A289788 11.5388 [ (x^2+1)/(x^4-6*x^3+6*x^2-6*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 9.65664 [ -(2*x+1)*(3*x^2-x+1)/(5*x^4+5*x^3-5*x^2+5*x-1) 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 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] 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] 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] 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 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 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] 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 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 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 7.45497 [-(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] 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] 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 [{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 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 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] 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] 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 6.52341 [-(-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 6.77675 [-(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 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 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] 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 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] A290191 11.6334 [ (10*x^2+1)/(x-1)/(10*x-1)/(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] 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] 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 9.05016 [ -(204*x^3-290*x^2+114*x-13)/(x-1)/(6*x-1)/(4*x-1)/(2*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] 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] 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] A290562 10.5936 [ (x^3-x^2+3*x-1)/(x^2+1)/(x-1)^2 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 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 6.96180 [{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] A290612 12.4432 [ -(3*x^3+x^2+x-4)/(x-1)/(x^3+x^2-1) ogf] A290616 9.62086 [ -(2*x^3-x-2)/(x^6+2*x^4-2*x^3-x^2-2*x+1) 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] 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 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 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 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 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] 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 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] 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 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 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 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 8.60857 [{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 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] A290743 11.5574 [ -(2*x^3-2*x^2-x+2)/(x+1)/(x-1)^3 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 8.90731 [ (38*x^2-24*x+7)/(2*x-1)/(8*x-1)/(x-1)^2 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] 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] 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 9.78402 [{-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] 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] A290856 11.4633 [-(-30*x^4+40*x^3+1)/(10*x^5-10*x^4+x-1) lgdogf] 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] A290858 11.4634 [-(-6*x^4+8*x^3+1)/(2*x^5-2*x^4+x-1) lgdogf] 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 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 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] 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 [{-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 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 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 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 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 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 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 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] 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] A290913 14.3939 [ 7*x/(x^4-4*x^3-x^2-4*x+1) 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 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 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 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 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 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] A290924 11.1028 [ (x^2-x+1)/(x^4-6*x^3+8*x^2-6*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] 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] 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] 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 9.42352 [-(4*x^3-15*x^2+12*x-4)/(x^4-5*x^3+6*x^2-4*x+1) lgdogf] 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 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 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 6.24745 [{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 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 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 6.82502 [{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] 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 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 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 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 6.67691 [{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 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 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 8.42426 [{-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 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 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 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 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] 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] A291025 10.4422 [ (3*x^2-7*x+3)/(x^4-7*x^3+13*x^2-7*x+1) 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] 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 8.76675 [{-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] 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 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 8.47403 [{-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 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 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] 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] 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 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] A291183 10.2897 [ 2*(2*x-1)*(x-2)/(x^4-8*x^3+16*x^2-8*x+1) 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 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 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 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 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] 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 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 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] A291246 10.3931 [ -(6*x^2+x-6)/(x^4+6*x^3-x^2-6*x+1) 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 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] A291265 11.1437 [ -(x+2)*(2*x-1)/(x^2+3*x-1)^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 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] 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 6.67918 [{-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 9.67351 [ -(x+1)*(x^2+x+2)/(x^4+2*x^3+3*x^2+2*x-1) 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 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 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 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 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 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 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 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 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 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 9.82349 [ -(x+1)*(2*x^2+2*x-3)/(2*x^2+2*x-1)/(x^2+x-1) ogf] A291394 9.61483 [ -(x+1)*(3*x^2+3*x-4)/(3*x^2+3*x-1)/(x^2+x-1) 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 9.64736 [ -(x+1)*(x^2+x-3)/(x^4+2*x^3-2*x^2-3*x+1) ogf] A291416 9.69925 [ -(x+1)*(x^2+x-4)/(x^4+2*x^3-3*x^2-4*x+1) 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 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 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] A291534 16.8270 [-x/(x^3+x^2-x-1) revogf] 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 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] 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 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] 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 7.66255 [{-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] A291675 11.3471 [ 2*(2*x^2+3*x+2)/(2*x-1)/(x+1)/(x^2+x-1) 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 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 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] A291778 11.0918 [{a(n+3)-4*a(n), a(0) = 1, a(1) = 1, a(2) = 2}, 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] 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 [ 4*x/(2*x+1)/(2*x-1)^2 ogf] A291938 15.9478 [-(-12*x-2)/(-4*x^2+1) lgdogf] 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] A291945 14.5868 [{a(n+1)-1111*a(n), a(0) = 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 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 7.55653 [{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] 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 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 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] 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 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 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 4.68013 [{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 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] 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] A292278 11.8201 [ -(x^2+2*x-1)/(x-1)/(x^2+4*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 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] 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 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] 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 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 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 6.99941 [{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 7.18859 [{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 6.56476 [{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 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 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] 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 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 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] 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 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 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] A292485 9.74025 [ -(x+1)*(3*x^2+1)/(2*x^2-x+1)/(x^2+4*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 9.61564 [ -(x+1)*(5*x^2+2*x+1)/(4*x^4+11*x^3-3*x^2+5*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 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] 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 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 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] A292521 11.1736 [ -(3*x^3-x^2+2)/(x^2-x+1)/(x^2-x-1) 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 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 20.7052 [ -4*(x+1)/(4*x-1) ogf] A292540 21.2804 [-5/(4*x^2+3*x-1) lgdogf] A292542 19.1519 [ -3*(1+9*x)/(4*x-1) ogf] A292542 19.1519 [13/(-36*x^2+5*x+1) lgdogf] 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 25.1066 [ -96*x/(4*x-1) ogf] A292543 26.8999 [4/(-4*x+1) lgdogf] 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 7.81800 [{-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 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] 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 7.51186 [{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 6.60833 [-(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 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 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] 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] 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] 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] A293014 11.2481 [ -x^4/(x+1)/(x^2-x+1)/(x^2+x-1) 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] 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 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 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 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 6.74484 [{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 6.46301 [-(-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] 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 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 8.85063 [-(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] 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 7.94993 [-(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] 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 6.71452 [{-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 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] 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 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] 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] 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 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 10.7375 [{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 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] 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] 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 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] 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] A294328 10.6515 [ 2*x*(5*x-1)/(x-1)/(10*x-1)^2 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] A294344 10.5215 [ -(10*x^2-12*x+1)/(x-1)/(10*x-1)^2 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] 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] 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 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 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] 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] 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] 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] 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 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] 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] 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 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 8.25215 [{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] 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] 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 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 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] 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 7.87372 [{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] 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 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 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] 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 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 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] A295674 11.3345 [ -(3*x^3+2*x^2+x+1)/(x^2+1)/(x^2+x-1) ogf] A295675 12.0756 [ (5*x^3-x^2-1)/(x^2+1)/(x^2+x-1) ogf] A295676 12.1516 [ (7*x^3-2*x^2-1)/(x^2+1)/(x^2+x-1) ogf] A295677 12.3631 [ (8*x^3-3*x^2-1)/(x^2+1)/(x^2+x-1) ogf] A295678 11.8686 [ -(x^3-x^2+x+1)/(x^2+1)/(x^2+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] 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 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 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] A295684 11.7866 [ (2*x^3-x^2+2*x-2)/(x^2+1)/(x^2+x-1) ogf] A295685 12.9413 [ (2*x^3+x-2)/(x^2+1)/(x^2+x-1) ogf] A295686 11.6547 [ (3*x^3-x^2+x-2)/(x^2+1)/(x^2+x-1) ogf] A295687 13.2437 [ (x-1)*(2*x^2+2*x+1)/(x^2+1)/(x^2+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 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] A295690 12.4287 [ (2*x^3+x^2-2)/(x^2+1)/(x^2+x-1) 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 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] A295718 10.4655 [ -(6*x^3+2*x^2-2*x-1)/(2*x^2-1)/(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] A295720 10.2386 [ -(3*x^3-2*x^2-3*x-1)/(2*x^2-1)/(x^2+x-1) ogf] A295721 10.2986 [ -(7*x^3-4*x^2-3*x+1)/(2*x^2-1)/(x^2+x-1) ogf] A295722 10.8822 [ (2*x^3+6*x^2-1)/(2*x^2-1)/(x^2+x-1) ogf] A295723 11.0911 [ -x*(2*x+1)*(x-1)/(2*x^2-1)/(x^2+x-1) 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 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 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 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] A295728 10.5625 [ (5*x^3-x^2-2*x+1)/(2*x^2-1)/(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] A295730 10.4197 [ -(x^3-3*x^2-x+1)/(2*x^2-1)/(x^2+x-1) ogf] A295731 10.9626 [ (2*x^3+4*x^2-1)/(2*x^2-1)/(x^2+x-1) ogf] A295732 10.8629 [ (3*x^3+3*x^2-1)/(2*x^2-1)/(x^2+x-1) ogf] A295733 12.3434 [ x*(5*x^2-1)/(2*x^2-1)/(x^2+x-1) ogf] A295734 11.2031 [ x^2*(3*x-1)/(2*x^2-1)/(x^2+x-1) 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] A295736 10.3331 [ (11*x^3-3*x^2-3*x+1)/(2*x^2-1)/(x^2+x-1) ogf] A295737 10.3722 [ (8*x^3-3*x^2-2*x+1)/(2*x^2-1)/(x^2+x-1) ogf] A295774 10.7502 [[4-2*x] ogf_with_Euler_transform] 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] 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 8.25323 [ 126*x/(256*x-1)/(x-1) 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 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] A295852 12.0549 [ (6*x^2-1)/(2*x^2-1)/(x^2+x-1) ogf] A295853 10.2231 [ -(2*x+1)*(x^2-5*x+2)/(2*x^2-1)/(x^2+x-1) ogf] A295854 10.8328 [ (x^3+10*x^2-2)/(2*x^2-1)/(x^2+x-1) ogf] A295855 10.5821 [ (7*x^3+x^2-3*x+1)/(2*x^2-1)/(x^2+x-1) ogf] A295856 11.2291 [ -x^2*(2*x-3)/(2*x^2-1)/(x^2+x-1) 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 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] A295859 10.2986 [ -(4*x^3-7*x^2-2*x+2)/(2*x^2-1)/(x^2+x-1) ogf] A295860 10.1818 [ -(x-1)*(3*x+2)*(2*x-1)/(2*x^2-1)/(x^2+x-1) ogf] A295861 11.1991 [ (7*x^2+x-2)/(2*x^2-1)/(x^2+x-1) 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 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 7.67388 [{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 7.57993 [{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 8.63593 [{-a(n+2)+4*a(n+1)-3*a(n), a(0) = 8, a(1) = 25}, 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 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 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 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 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 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 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 9.50448 [{-a(n+2)+2*a(n+1)-a(n), a(0) = 112, a(1) = 240}, 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 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] 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 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] 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 5.95001 [{-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] 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] 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] 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 9.99896 [{-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 9.99896 [{-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 9.99896 [{-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 9.99896 [{-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 9.99896 [{-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 9.99896 [{-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 9.99896 [{-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 9.99896 [{-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 9.99896 [{-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 9.99896 [{-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 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 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 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] 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] 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] 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] 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 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 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 24.4989 [ -x^10/(x-1) ogf] A297039 30.6237 [1/(-x+1) lgdogf] A297040 24.3504 [ -x^11/(x-1) ogf] A297040 30.4380 [1/(-x+1) lgdogf] A297041 24.2020 [ -x^12/(x-1) ogf] A297041 30.2525 [1/(-x+1) lgdogf] A297042 24.0535 [ -x^13/(x-1) ogf] A297042 30.0669 [1/(-x+1) lgdogf] A297043 23.9050 [ -x^14/(x-1) ogf] A297043 29.8812 [1/(-x+1) lgdogf] 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 6.67619 [-(-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 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 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] A297217 12.8120 [ -(4*x^4-4*x^3+4*x^2-3*x+3)/(x-1) ogf] A297219 10.8425 [ -(4*x^2+5*x+3)/(4*x^3+4*x^2+x-1) 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 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 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 5.39576 [{-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 5.49976 [{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 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 9.80085 [ -4*(2*x^2+2*x-1)/(4*x-1)/(x-1)/(4*x^2-8*x+1) 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] 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] 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 6.75365 [-(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 6.78235 [{-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 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] 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] 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 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] 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 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] 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 [{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] 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 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] 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] 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] A297870 11.6641 [ -x*(4*x^2-2*x-1)/(2*x-1)/(2*x^3+x^2-x-1) 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 8.74778 [ -(4*x^3+7*x^2+5*x+1)/(x+1)/(4*x^3+4*x^2+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 6.96950 [{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 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 8.39932 [ -(x+1)*(4*x^3-2*x^2-1)/(2*x-1)/(x-1)/(2*x^2+x+1) 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 8.94390 [-(8*x^3+12*x^2+6*x+3)/(4*x^4+8*x^3+5*x^2-x-1) lgdogf] 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] 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] 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] 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 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] A298034 14.0298 [ -(7*x^3+5*x^2+5*x+1)/(x+1)/(x-1)^3 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 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] 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 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 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 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] 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 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 5.88188 [{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 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] A298308 17.3943 [-(-9*x^2-3)/(9*x^3+9*x+1) lgdogf] 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 [ x^2*(x+1)/(x^4+x^3+x^2+x-1)^2 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] 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] A298569 11.2072 [ -(x-1)*(2*x+1)^2/(4*x^4-8*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 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 8.86584 [{-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 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] A298680 14.3027 [ -4*x^2/(2*x+1)/(x-1)/(x^2-4*x+1) 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 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 9.45949 [ (x+1)*(5*x^2+2*x-1)/(2*x+1)/(x-1)/(x^2-4*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] 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] 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 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 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 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] A298977 14.4510 [ -12*(3*x^2+7*x+1)/(7*x^2-1) 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 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 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 5.78020 [{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] 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 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 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] 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 9.40776 [-(2*x^3+3*x^2+7*x-3)/(x^4+2*x^3+7*x^2-6*x+1) lgdogf] 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 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] A299529 5.40905 [{a(n+4), a(0) = 5, a(1) = 35, a(2) = 35, a(3) = 17}, 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 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] 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] 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] 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] 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 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 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 7.33204 [{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] 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 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 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] 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 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] 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 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] 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] 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] 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 6.86260 [{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] 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] 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] A300575 12.5413 [-(x^6-x^4+x^2+x-1)/(-x^8+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 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] A300659 4.71401 [{-a(n+5), a(0) = 1, a(1) = 1, a(2) = 2, a(3) = 6, a(4) = 8}, 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] 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] A300799 10.3623 [ -4*(2*x+1)*(x-1)/(x+1)/(5*x^2-8*x+1) 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 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 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] 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 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 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 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 7.93504 [{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] A301504 15.2052 [-(x^4+x^3-x+1)/(x^8-1) ogf_with_Euler_transform] A301505 12.5494 [-(x^6-x^5+x^3+x^2)/(x^8-1) ogf_with_Euler_transform] A301507 15.0439 [-(-x^5-x^4+x^3-1)/(-x^8+1) ogf_with_Euler_transform] A301508 14.3474 [-(x^6-x^3+x^2+x)/(x^8-1) ogf_with_Euler_transform] A301562 13.3622 [-(-x^6-x^5+x^3-1)/(-x^10+1) ogf_with_Euler_transform] A301563 14.5259 [-(-x^7-x^2+x-1)/(-x^10+1) ogf_with_Euler_transform] A301564 13.6064 [-(-x^8+x^7-x^6-x)/(-x^10+1) ogf_with_Euler_transform] A301565 12.3905 [-(x^8-x^5+x^3+x^2)/(x^10-1) ogf_with_Euler_transform] A301567 13.9511 [-(-x^5-x^4+x-1)/(-x^10+1) ogf_with_Euler_transform] A301568 12.7040 [-(x^6+x^4-x^3+x)/(x^10-1) ogf_with_Euler_transform] A301569 11.8404 [-(-x^7+x^5-x^4-x^2)/(-x^10+1) ogf_with_Euler_transform] A301570 11.7455 [-(-x^8+x^7-x^4-x^3)/(-x^10+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 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] 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 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] 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] 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 9.75207 [ -x*(2*x-1)*(x+1)/(2*x^2-1)/(2*x^2+3*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 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 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] 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 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] 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 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 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] A301787 11.8744 [ -(5*x^3+3*x^2+2*x-8)/(x^3+x^2+x-1)/(x-1) 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] 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] 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] A301794 10.1446 [ (49*x^4-19*x^3-130*x^2+57*x+16)/(x^2+x-1)/(x-1) 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 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 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] 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 5.95036 [{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 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] A301959 11.4169 [ -(x^2+3*x+3)/(2*x^3+3*x^2+x-1) 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 9.79199 [ (x^3-3*x^2-x+5)/(x^2-3*x+1)/(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 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 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] 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 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 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 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 13.5994 [-(-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] 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 6.88249 [-(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 11.9113 [ -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 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 6.96999 [ -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] 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] 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] 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 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] A302076 10.3156 [ -(x+3)*(2*x+1)/(4*x^3+7*x^2+x-1) 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] 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] 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 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 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] A302126 13.5379 [ x*(x+1)*(x-2)/(x^4+x^2-1) 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] A302146 10.9141 [ -(2*x^2+2*x-1)/(2*x^3+2*x^2-4*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] 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] 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] 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] 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] 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] 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 4.03190 [ -(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] 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] A302245 8.27658 [ (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] 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] 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] A302266 8.37849 [ -(2*x^3+3*x^2+2*x+2)/(4*x^4+4*x^3+x^2+3*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 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 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] 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] 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 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] 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 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 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 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 15.3840 [ -(x-1)/(x^2-194*x+1) ogf] A302332 8.40755 [{a(n+2)-194*a(n+1)+a(n), a(0) = 1, a(1) = 193}, 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] 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] 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] 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] A302402 16.5589 [-(4*x^2+x+1)/(x^3-1) lgdogf] 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] A302404 13.2471 [ 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] A302406 9.11729 [ -x*(2*x^4+x+1)/(x^2+1)/(x+1)^2/(x-1)^3 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 6.26537 [ -(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] A302448 10.8659 [-(x^2+x+1)/(-x^4+4*x^3-6*x^2+4*x-1) 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] 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] A302488 11.0699 [ (x^4-2*x^3-1)/(x^2+1)/(x+1)/(x-1)^3 ogf] A302506 11.7563 [ -(3*x^3+4*x^2+x+2)/(x^2+1)/(x^2+x-1) ogf] A302507 15.5179 [-(6*x-4)/(3*x^2-4*x+1) lgdogf] 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] 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 4.42156 [ -(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] 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] A302537 13.4069 [ (5*x^2-5*x-1)/(x-1)^3 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] A302576 16.0107 [ -10*(3*x-1)/(x-1)^3 ogf] A302576 22.0147 [-6*x/(3*x^2-4*x+1) lgdogf] 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 9.70175 [ -(90200*x^16+133060*x^12+27612*x^6+624*x^4+544*x^2+220*x+341)/(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 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] 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] 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 3.75798 [ -(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] 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] 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] A302647 10.9745 [-(-6*x^3-9*x^2-12*x-3)/(-x^4-x^3+x+1) lgdogf] 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 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 6.38446 [ -(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 6.76677 [ -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] 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] A302675 11.4438 [ (4*x^4+4*x^3-2*x^2-3)/(x^2+x-1) 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] 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] 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] 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] 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] 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 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] 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 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 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] 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 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 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] 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] 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] A302766 7.15947 [ x*(x^4+3*x^3+13*x^2+6*x+5)/(x+1)^3/(x-1)^4 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] 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] A302832 13.6397 [-(x^4-x^2+x+2)/(-x^4+2*x^2-1) ogf_with_Euler_transform] A302856 12.2257 [-(32*x^2-32*x+64)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A302870 8.84893 [-(-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] 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 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 8.67836 [-(-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 10.5816 [ -(4*x^2-31*x-9)/(x+1)/(x^2-11*x+1) 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 12.3642 [ -2*x*(5*x+2)/(x-1)/(8*x-1)/(2*x-1) 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] A302946 11.4668 [ -4*(x^2-4*x-1)/(x+1)/(x^2-6*x+1) 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] 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] 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 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 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] 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] A303055 4.96517 [{(n+2)*a(n+2)+(-462-504*n)*a(n+1), a(0) = 1, a(1) = -42}, ogf] 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] 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] 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] 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] 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] 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 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 20.0977 [ 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] 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] A303302 16.7710 [ -34*x*(x+1)/(x-1)^3 ogf] A303302 22.4884 [-(2*x+4)/(x^2-1) lgdogf] 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] A303305 10.7406 [ -x*(x^2+13*x+1)/(x+1)^2/(x-1)^3 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] 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] 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] 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] 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] 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] A303416 10.5587 [ -4*(x^2+x+1)/(8*x^3+6*x^2+7*x-1) 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] 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] A303427 13.0846 [ -(x+1)*(x^2-2*x+2)/(x^4+x^2-1) 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] 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] 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 11.5309 [{-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 72.5070 [[2] ogf_with_Euler_transform] 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 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] 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 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] A303611 13.3539 [ (2*x^2-x+2)/(x-1)/(2*x+1)/(2*x-1) 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] A303631 9.20212 [ -x*(x^3+x^2+x-1)/(x^5-x^4-2*x^2-x+1) 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 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] 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 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] 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 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] 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 5.27948 [ -(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 5.57625 [ -(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] 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 5.71450 [ -(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] 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] A303749 4.83238 [ -(3*x^5-3*x^4+x^3-2*x-1)/(x-1)/(x+1)/(3*x^2-1) ogf] A303784 10.1590 [ -(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] 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 9.49703 [ -(4*x^4+x^2-x-2)/(2*x-1)/(x-1)/(2*x^2+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] A303813 12.0220 [ -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] A303815 10.4889 [ -x*(x^2+25*x+1)/(x+1)^2/(x-1)^3 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] A303850 12.7654 [ -(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] A303890 8.25468 [ -(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] 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] 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] A303963 10.3022 [ -(4*x^3-4*x^2-3*x-2)/(4*x^4-8*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] 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] 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] 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] 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] 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 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 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] 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 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] 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 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 9.88256 [-(x^3+13*x^2+x+9)/(x^4+4*x^3-8*x^2+6*x-3) lgdogf] 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 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 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 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 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 14.2957 [ -(15*x^2-15*x+4)/(x-1)/(3*x-1)/(2*x-1) 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 11.4330 [{-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 21.0874 [ -(9*x-5)/(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 6.65425 [{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 13.9256 [ 4*(99*x^2-37*x-4)/(x-1)/(3*x-1)/(2*x-1) 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 17.1507 [ -(11*x-49)/(2*x-1)/(x-1) ogf] A304171 9.48334 [{-a(n+2)+3*a(n+1)-2*a(n), a(0) = 49, a(1) = 136}, 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 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] 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] 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 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] 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] 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] 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 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] 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] 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] A304293 12.0439 [ -4*x*(2*x^2-1)/(2*x-1)/(x-1)/(2*x^2+x+1) 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 5.70863 [ -(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 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 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 9.00862 [ -(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 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 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 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 9.33552 [ (8*x^3-14*x^2+7*x+5)/(4*x-1)/(2*x-1)/(x-1)^2 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 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] 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 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 18.4851 [ -24*(x-3)/(2*x-1)/(x-1) 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 19.8558 [ -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 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 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 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] 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 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 17.9737 [ -(62*x-67)/(2*x-1)/(x-1) 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 16.6303 [ -2*(142*x-155)/(2*x-1)/(x-1) ogf] A304384 9.47543 [{-a(n+2)+3*a(n+1)-2*a(n), a(0) = 310, a(1) = 646}, ogf] A304385 15.7089 [ -(322*x-353)/(2*x-1)/(x-1) 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 18.1398 [ -(17*x-22)/(2*x-1)/(x-1) ogf] A304388 10.4518 [-(-124*x^2+268*x-139)/(-124*x^3+320*x^2-263*x+67) lgdogf] A304388 16.4242 [ -4*(62*x-67)/(2*x-1)/(x-1) ogf] A304388 9.35797 [{-a(n+2)+3*a(n+1)-2*a(n), a(0) = 268, a(1) = 556}, 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 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 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] 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 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 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] 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 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 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] 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 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 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] 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 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 17.4402 [ -3*(16*x-29)/(2*x-1)/(x-1) ogf] A304509 9.64340 [{-a(n+2)+3*a(n+1)-2*a(n), a(0) = 87, a(1) = 213}, 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 20.9047 [ -6*(9*x-16)/(2*x-1)/(x-1) 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 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 17.2488 [ -12*(27*x-44)/(2*x-1)/(x-1) ogf] A304512 9.71485 [{-a(n+2)+3*a(n+1)-2*a(n), a(0) = 528, a(1) = 1260}, 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 21.0831 [ 19*(x+1)/(2*x-1)/(x-1) 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 22.5423 [ 3*(8*x+7)/(2*x-1)/(x-1) 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 27.7367 [ 6*(21*x+16)/(2*x-1)/(x-1) 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 20.0164 [ 3*(54*x+37)/(2*x-1)/(x-1) 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 21.7860 [ -(10*x-21)/(2*x-1)/(x-1) 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 22.1336 [ -2*(18*x-43)/(2*x-1)/(x-1) 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 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] 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] 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 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 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] 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 18.7433 [ -2*(74*x-61)/(2*x-1)/(x-1) ogf] A304606 11.0309 [-(-82*x^2+136*x-61)/(-82*x^3+191*x^2-143*x+34) lgdogf] A304606 16.6589 [ -4*(41*x-34)/(2*x-1)/(x-1) ogf] A304606 9.49172 [{a(n+2)-3*a(n+1)+2*a(n), a(0) = 136, a(1) = 244}, 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 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 19.2023 [ -2*(466*x-377)/(2*x-1)/(x-1) 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 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 8.45010 [{-a(n+2)+2*a(n+1)-a(n), a(0) = 117, a(1) = 274}, 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] 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 19.5890 [ (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 17.5236 [ 3*(x+14)/(2*x-1)/(x-1) 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 17.1872 [ 6*(4*x+33)/(2*x-1)/(x-1) 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 18.4232 [ 39*(x+6)/(2*x-1)/(x-1) 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 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 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 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 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 19.6399 [-(x^3-x-2)/(-x^3+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] 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 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] 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 14.9928 [-(150*x-20)/(75*x^2-20*x+1) lgdogf] 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 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 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] 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] A304825 13.7720 [-(-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 17.3785 [ 8*(x+1)/(7*x-1)/(x-1) 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 16.9678 [ 4*(5*x+3)/(7*x-1)/(x-1) 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 16.1106 [ 8*(23*x+9)/(7*x-1)/(x-1) ogf] A304828 9.09774 [{-a(n+2)+8*a(n+1)-7*a(n), a(0) = 72, a(1) = 760}, ogf] A304829 13.8389 [ -8*(93*x-157)/(7*x-1)/(x-1) 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 19.0696 [ 12*(x+8)/(2*x-1)/(x-1) 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 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 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 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 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 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 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 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 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 10.8978 [{-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] 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] 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] 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] A304885 15.9495 [-(x^4+x^3+1)/(x^6-1) ogf_with_Euler_transform] 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 4.99290 [ -(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 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 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 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 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 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 13.8160 [ -12*(9*x-1)/(18*x-1)/(5*x-1) 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] A304993 13.4484 [ x*(3*x+4)/(x-1)^4 ogf] A304993 17.8398 [-(9*x+19)/(3*x^2+x-4) lgdogf] 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] A305029 19.5963 [x^9-2*x^4-x+2 ogf_with_Euler_transform] A305029 7.62988 [ (x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] 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] 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] 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] 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] 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] 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 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 20.1077 [ -2*(24*x-17)/(2*x-1)/(x-1) 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 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 18.8140 [ -2*(173*x-114)/(2*x-1)/(x-1) 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 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 19.4493 [-(4*x-3)/(2*x^2-3*x+1) lgdogf] 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 19.1427 [ 6*(x+19)/(2*x-1)/(x-1) ogf] A305067 12.3725 [-(6*x^2+88*x-69)/(6*x^3+35*x^2-63*x+22) lgdogf] A305067 17.7854 [ 6*(3*x+22)/(2*x-1)/(x-1) ogf] A305067 9.92676 [{-a(n+2)+3*a(n+1)-2*a(n), a(0) = 132, a(1) = 414}, 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] 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] A305070 17.4603 [ -108*(4*x+3)/(x-1)^3 ogf] A305070 20.3110 [-(8*x+13)/(4*x^2-x-3) lgdogf] 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] 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 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 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] A305073 17.7704 [ -192*(2*x+1)/(x-1)^3 ogf] A305073 21.1023 [-(-4*x-5)/(-2*x^2+x+1) lgdogf] 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] A305074 16.1371 [-(2*x+8)/(2*x^2+x-3) lgdogf] A305074 16.8387 [ 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] 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] 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 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 20.6330 [ -9*(6*x-5)/(2*x-1)/(x-1) 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] 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 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] 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 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 19.5409 [ 6*(9*x+4)/(2*x-1)/(x-1) 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 19.6884 [ 3*(25*x+8)/(2*x-1)/(x-1) 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 20.6215 [ 6*(2*x+1)/(2*x-1)/(x-1) 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 20.6982 [ 2*(8*x+3)/(2*x-1)/(x-1) 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 20.8303 [ 8*(11*x+3)/(2*x-1)/(x-1) 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 19.5670 [ 4*(29*x+6)/(2*x-1)/(x-1) ogf] 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] 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] 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] A305256 11.7026 [I/(4*x-1)^(1/2)-I/(4*x^2-1)^(1/2)*x ogf_with_Euler_transform] 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 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] 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 19.6739 [ 2*(282*x+29)/(2*x-1)/(x-1) 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 21.0833 [ (706*x+65)/(2*x-1)/(x-1) 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 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 17.2565 [ -(160*x-87)/(2*x-1)/(x-1) 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 18.3896 [ -2*(392*x-213)/(2*x-1)/(x-1) 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 18.6726 [ -2*(481*x-261)/(2*x-1)/(x-1) 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 18.4851 [ 5*(14*x+5)/(2*x-1)/(x-1) 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 18.6312 [ 28*(3*x+1)/(2*x-1)/(x-1) 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 18.2554 [ 4*(104*x+33)/(2*x-1)/(x-1) 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 18.4637 [ 4*(129*x+40)/(2*x-1)/(x-1) 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] 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 7.69020 [ -(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] 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] 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] 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] 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 12.1862 [-(-2*x-199)/(-x^2-199*x+1) lgdogf] 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] 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 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 7.78256 [ -(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] A305492 13.4011 [-(-14*x-2)/(-7*x^2-2*x+1) lgdogf] 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 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 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] 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] 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 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] A305548 12.0305 [{a(n+2)-2*a(n+1)+a(n), a(0) = 0, a(1) = 27}, ogf] A305548 25.9606 [ 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] 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] 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] 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 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 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] A305650 12.3490 [ (2*x^2+1)/(2*x+1)/(x-1)/(2*x^2+2*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] A305653 11.3107 [-(-x-1)/(-x^5+5*x^4-10*x^3+10*x^2-5*x+1) 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] A305708 10.6746 [-exp(-x)*sin(x)-exp(-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] 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] 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] 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] 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] 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] 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] 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] A305867 32.7590 [1/(1-2*x)^(3/2), egf_with_Euler_transform] A305886 4.51802 [{(n+2)*a(n+2)+(-1722-1728*n)*a(n+1), a(0) = 1, a(1) = -6}, 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 5.88981 [{(n+2)*a(n+2)+(-24-27*n)*a(n+1), a(0) = 1, a(1) = -3}, 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] 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] 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 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] 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] 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] 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] 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] 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] 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 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 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] 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 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 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 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] 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 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 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] 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 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 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] 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] 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] 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] 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 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 4.37950 [(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 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] 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] 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 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 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 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] 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 4.40410 [(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 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 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 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] 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 4.42870 [(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 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 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 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] 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 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 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 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 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] 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 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] 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 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 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 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] 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 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 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] 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] 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 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 4.68925 [(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] 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 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 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] 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] 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] 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] 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 4.71515 [(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 4.42870 [(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 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] 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] 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 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 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] 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 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 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 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 8.33031 [(x^4+2*x^3+4*x^2+2*x+1)/(x^2+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 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 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 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] 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] 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] 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] 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 4.91719 [-(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 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 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] 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] 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] 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] 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 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 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] 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] 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] 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 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] 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 9.24660 [(x^4+3*x^3+8*x^2+3*x+1)/(x^2+x+1)/(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 5.80058 [-(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] 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 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 4.99711 [-(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 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 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 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 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] 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] 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 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] 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 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] 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] 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] 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 4.55971 [-(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] 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] 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] 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] 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] 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 4.33029 [(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] 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] 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] 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 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] 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 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 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 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] 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 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] 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 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] 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 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] 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] 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] 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] 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] 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 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] 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] 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] 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 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 5.86803 [-(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 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] 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 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 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] 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] 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] 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 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 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 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 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] 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] 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] 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 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 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] 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 4.58562 [(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 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] 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 4.58562 [(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 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 6.55730 [-(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 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] 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] 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] 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] 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 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 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 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 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] 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] 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] 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] 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 3.95673 [-(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 4.74266 [-(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] 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] 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 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 4.40410 [(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] 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] 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] 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] 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] 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 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] 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] 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 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 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 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 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 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 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 5.91819 [-(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] 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 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] 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] 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 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 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 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 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 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 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] 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] 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] 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] 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] 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] 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] 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 4.80234 [-(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 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 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] 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] 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 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 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] 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 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] 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] 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] 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 4.12036 [-(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] 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 4.16665 [-(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 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 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] 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 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 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 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 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 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] 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 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] 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] 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] 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 8.99257 [(x^4+3*x^3+5*x^2+3*x+1)/(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] 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 4.35489 [(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 4.14628 [(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 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 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 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 5.53942 [(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 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 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 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] 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] 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 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 7.48753 [-(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 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 4.40410 [(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] 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 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] 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] 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 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] 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 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 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] 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] 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] 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] 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 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 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 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 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] 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 4.61152 [(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] 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] 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] 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 4.40410 [(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] 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] 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] 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 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] 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] 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] 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] 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] 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 6.97192 [(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 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 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 5.51380 [(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 4.66334 [(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] 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 4.42870 [(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 4.86951 [(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 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 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] 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 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] 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] 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] 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 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] 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] 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 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] 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 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] 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] 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] 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 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] 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] 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] 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] 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] 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] 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 8.23826 [(x^4+x^3+x^2+x+1)/(x-1)^2/(x^2-x+1) 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] 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] 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] A313293 4.75219 [(x+1)^2*(x^4+1)*(x^2+1)/(x^6+x^3+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] 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 5.95162 [-(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 4.76362 [-(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 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 4.79023 [-(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 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 3.95598 [-(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] 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 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] 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] 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] 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] 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 3.93364 [-(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] 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 4.76945 [(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] 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] A313480 6.38844 [(x^6+3*x^5+x^4-x^3+x^2+3*x+1)/(x-1)^2/(x^4+1) 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] 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] 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] 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] 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] 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 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] 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 5.57072 [(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 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] 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] 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 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] 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] 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] 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] 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] 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] 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 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] 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] 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] 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] 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 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 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 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] 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] 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] 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] 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] 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] 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] 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 6.38844 [(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 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] 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] 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] 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] 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 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] 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 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 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] 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 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 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 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 5.24501 [(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 4.78430 [-(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 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] 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 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] 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 5.54460 [(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 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] 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 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] 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 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] 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] 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 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 4.45331 [(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 5.23521 [-(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 5.71029 [-(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] 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 4.71515 [(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] 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] 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 4.66334 [(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 4.48149 [(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 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 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 4.45331 [(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 4.91026 [-(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 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] 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 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] 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 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 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] 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] 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] 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] 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] 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 6.53200 [(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 4.81073 [-(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 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 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] 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 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] 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] 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 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] 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 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 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 4.95158 [(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 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] 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] 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 4.78430 [-(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 3.97759 [(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] 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] 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] 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 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] 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] 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] 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] 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 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 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 4.71515 [(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 4.71515 [(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] 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] 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 5.69590 [(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] 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 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 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] 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] 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] 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] A313926 6.53200 [(x^6+3*x^5+x^4+x^3+x^2+3*x+1)/(x-1)^2/(x^4+1) 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] 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 4.28683 [(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 4.16367 [-(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 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] 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] 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] 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 5.27399 [(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] A313962 5.04956 [(x^2+1)*(x^6+3*x^5+3*x+1)/(x^6+x^3+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 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 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 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 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 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 4.88328 [-(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] 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] 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] 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] 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 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] 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 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 4.68925 [(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 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] 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 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 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 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] 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 4.45331 [(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 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 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 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 4.26340 [(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 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] 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] 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 4.71515 [(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 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] 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] 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 4.89687 [(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 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] 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] A314090 4.75219 [(x^6+x^5+x^3+x+1)*(x+1)^2/(x^4+1)/(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 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] 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 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] 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 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] 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] 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 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 4.45331 [(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] 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] 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 5.01400 [(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] 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 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] 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 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] 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 4.26340 [(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 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 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 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 4.97153 [-(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 5.69590 [(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 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] 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] 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] 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] 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] 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 4.95158 [(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 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] 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] 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 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 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 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] 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] 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] 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 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] 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] 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 4.74106 [(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 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] 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 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 4.71515 [(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 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] 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] 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] 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 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] 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] 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] 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] 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] 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] 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] 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 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 4.44658 [(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 3.93352 [(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 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 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 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] 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] 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 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 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 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] 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 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 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 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] 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] 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] 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] 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 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 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 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] 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 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 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 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 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 5.23564 [(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] 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] 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] 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 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] 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] 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] 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 4.71039 [-(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] 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] 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] 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] 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] 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] 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 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] 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 5.15807 [(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 5.45219 [(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] 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 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] 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] 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] 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] 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] 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 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] 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] 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 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 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 4.40410 [(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 4.79023 [-(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 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 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] 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 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 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] 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 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] 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-1)^2/(x^4+1) 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 6.35255 [(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 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 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 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 5.15807 [(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 4.86951 [(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] 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] 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] 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] 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 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] 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] 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] 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 4.66334 [(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 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] 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 4.40410 [-(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 4.86286 [-(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 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 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 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 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] 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] 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] 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] 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 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] 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] 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] 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 4.42870 [(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] 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] 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 4.45331 [(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 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 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 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 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] 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 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] 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 4.89687 [(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] 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 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 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] 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] 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] 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 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 4.66334 [(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 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 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 5.21603 [(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] A315061 7.57166 [(x^6+3*x^5+2*x^3+3*x+1)/(x^4+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 4.42870 [(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] 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] 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] 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] 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] 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 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 4.79023 [-(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] 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 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] 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 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 4.89003 [-(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 4.81073 [-(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] 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 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 4.95158 [-(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 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 4.81073 [-(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] 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] 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 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] 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] 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 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] 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] 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] 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] 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 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 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 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 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 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] 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] 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 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 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] 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 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 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 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 9.19579 [(x^4+4*x^3+4*x+1)/(x^2+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 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 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] 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] 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 4.62795 [-(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 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 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 4.48149 [(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 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 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 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] 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] 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 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 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 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] 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] 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] 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] 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 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 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] 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] 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] 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 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 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] 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] 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 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] 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] 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 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 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] 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 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] 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 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 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] 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 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 6.01850 [(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 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] 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] 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] 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 4.97894 [(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 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 4.68925 [(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 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 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 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] 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 4.47791 [(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 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 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 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] 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] 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 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 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 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 7.78152 [(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 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 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 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] 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] 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 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] 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] 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] A315398 5.98506 [(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] 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 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] 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 8.33031 [(x^4+3*x^3-3*x^2+3*x+1)/(x-1)^2/(x^2-x+1) 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] 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] 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] 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] 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] 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] 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] 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 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] 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] 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 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 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] 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 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] 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 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] 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] 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] 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 5.98309 [(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 4.92422 [(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 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] 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 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 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 8.28428 [(x^8+4*x^7+4*x+1)/(x^2+1)/(x^4-x^2+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] 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] 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] 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] 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 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] 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 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] 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 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 4.71515 [(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] 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 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 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 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] 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 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] 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] 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 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 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] 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] 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] 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 4.95158 [(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 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] 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] 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 6.53200 [(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 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 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 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 5.30296 [(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] 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 4.47791 [(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 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] 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 9.29740 [(x^4+5*x^3+5*x^2+5*x+1)/(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] 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 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] 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] 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 4.50252 [(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] 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 7.78152 [(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 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 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 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 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 4.44658 [(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 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] 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 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 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] 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] 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 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 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] 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] 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 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 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 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] 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] 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] 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 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] 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] 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] 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] 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 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 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] 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 4.93724 [-(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 5.50692 [(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 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] 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] 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] 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] 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] 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 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] 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] 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 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 4.26340 [(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] A315685 6.56789 [(x^6+4*x^5+x^4-x^3+x^2+4*x+1)/(x^4+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] 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] 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] 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] 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 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 5.69590 [(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] 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 4.28683 [(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 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 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 4.74106 [(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] 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 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 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] 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] 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 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 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] 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] 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] 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 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] 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 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] 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] 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 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 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 6.53200 [(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] 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] 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] 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] 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] 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] 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 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] 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 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] 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 4.74106 [(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] 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 4.50252 [(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] 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] 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 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 5.85160 [-(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 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 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 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 4.81480 [(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] 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 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] 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 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 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] 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] 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 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 5.93434 [-(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 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] 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 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] 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 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 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 9.04338 [(x^2+1)*(x^2+5*x+1)/(x^2+x+1)/(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 4.59790 [-(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 5.95022 [-(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] 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] 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 7.82404 [(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] 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] 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 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 4.79023 [-(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] 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 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 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] 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] 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 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 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 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 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] 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 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 4.79023 [-(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 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 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] 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] A316088 8.40799 [(x-1)^4/(x^4-3*x^3+10*x^2-3*x+1) ogf] A316224 11.7552 [3*x*(x^2+10*x+5)/(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] A316317 7.17926 [(x^4+3*x^2+1)*(x+1)^2/(x^2+1)/(x^2+x+1)/(x-1)^2 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] A316358 6.66279 [-(x^4+3*x^2+1)*(x+1)^2/(x^2+1)/(x^2+x+1)/(x-1)^3 ogf]