From Patrick.Guillemin(AT)etsi.org Wed Sep 15 09:12:22 2004 Cc: "Jeff Somers" , , =?iso-8859-1?Q?Szab=F3_Mikl=F3s?= , , , "Mario VELUCCHI" , , SLOANE A059963 Update for N=1 to 22 Name: Triangle T(n,k) giving number of ways of placing n nonattacking queens on n X n board with the queen on the first row fixed at column k, 1<=k<=n. Dear Neil Sloane, We (CNAM, colleagues and friends) found together the new values of A059963 in the collection for N=22 in 4500 hours CPU time. This represents 4 weeks of calculations with 80 friends in a human network. The calculations were divided in 3468 calculations in 210 batchs. The new sequence for A059963 (for N=1 to N=22) is now 1, 0,0, 0,0,0, 0,1,1,0, 2,2,2,2,2, 0,1,1,1,1,0, 4,7,6,6,6,7,4, 4,8,16,18,18,16,8,4, 28,30,47,44,54,44,47,30,28, 64,48,65,93,92,92,93,65,48,64, 96,219,209,295,346,350,346,295,209,219,96, 500,806,1165,1359,1631,1639,1639,1631,1359,1165,806,500, 2760,3799,5508,6023,7346,7385,8070,7385,7346,6023,5508,3799,2760, 11892,16488,23024,27494,32163,34760,36977,36977,34760,32163,27494,23024,16488,11892, 69516,98156,122763,157034,175296,201164,206294,218738,206294,201164,175296,157034,122763,98156,69516, 436228,569531,736363,892999,1050762,1160280,1249262,1290831,1290831,1249262,1160280,1050762,892999,736363,569531,436228, 2729772,3321745,4423207,5172708,6214709,6787111,7546991,7698195,8026228,7698195,7546991,6787111,6214709,5172708,4423207,3321745,2729772, 17210372,22038667,27585497,33297967,39005536,43698287,47802996,50523766,51882224,51882224,50523766,47802996,43698287,39005536,33297967,27585497,22038667,17210372, 121956044,154458256,187854702,230334612,263322762,300359104,328342530,351816544,360352268,370464204,360352268,351816544,328342530, 300359104,263322762,230334612,187854702,154458256,121956044, 912695924,1134501243,1381017109,1649528539,1925960786,2158815033,2388912956,2563311029,2670502723,2729349100,2729349100,2670502723,2563311029,2388912956,2158815033,1925960786,1649528539,1381017109,1134501243,912695924, 7063988992,8479630929,10449374683,12239272958,14388837943,16034294995,17934352665,19124084606,20363051828,20727857478,21056728558,20727857478,20363051828,19124084606,17934352665,16034294995,14388837943,12239272958,10449374683,8479630929,7063988992, 56624964700,69021492236,83035719395,97778677945,113530277161,128055647633,141701163201,153417424175,162641629340,168619397689,171077957347,171077957347,168619397689,162641629340,153417424175,141701163201,128055647633,113530277161,97778677945,83035719395,69021492236,56624964700 We checked these values against Sylain Pion's global result for N=22 : 2 691 008 701 644 = 2*(56 624 964 700 + 69 021 492 236 + 83 035 719 395 + 97 778 677 945 + 113 530 277 161 + 128 055 647 633 + 141 701 163 201 + 153 417 424 175 + 162 641 629 340 + 168 619 397 689 + 171 077 957 347) Patrick GUILLEMIN ETSI - Plugtests Technical Coordinator http://www.etsi.org/plugtests tel +33(0)4 92 94 43 31 fax +33(0)4 92 38 52 31 _______________________________________