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A252593 Number of ways to place 8 nonattacking queens on an n X n board. 1

%I #24 Oct 01 2021 18:07:52

%S 0,0,0,0,0,0,0,92,13848,636524,14803480,207667564,2008758532,

%T 14752426528,87154016752,432539436508,1858901487620

%N Number of ways to place 8 nonattacking queens on an n X n board.

%C Conjectured recurrence order is 477 (see "Non-attacking chess pieces", p. 19). - _Vaclav Kotesovec_, Dec 19 2014

%H S. Chaiken, C. R. H. Hanusa and T. Zaslavsky, <a href="http://arxiv.org/abs/1303.1879">A q-Queens Problem, I. General theory</a>, arXiv:1303.1879 [math.CO], 2013-2014.

%H V. Kotesovec, <a href="https://oeis.org/wiki/User:Vaclav_Kotesovec">Non-attacking chess pieces</a>, 6ed, 2013

%H Antal Pinter, <a href="http://pinter.netii.net/comb.htm">Combinatorics</a>, software for enumerating positions of non-attacking chess pieces.

%H I. Rivin, I. Vardi and P. Zimmermann, <a href="http://www.jstor.org/stable/2974691">The n-queens problem</a>, Amer. Math. Monthly, 101 (1994), 629-639.

%F a(n) = n^16/40320 - n^15/432 + 221*n^14/2160 + O(n^13). - _Vaclav Kotesovec_, Dec 19 2014

%Y Cf. A000170, A036464, A047659, A061994, A108792, A176186, A178721.

%Y Column k=8 of A348129.

%K nonn,hard,more

%O 1,8

%A _Antal Pinter_, Dec 18 2014

%E a(16) from _Vaclav Kotesovec_, Dec 19 2014

%E a(17) from _Vaclav Kotesovec_, Dec 20 2014

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Last modified March 29 02:16 EDT 2024. Contains 371264 sequences. (Running on oeis4.)