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A252593 Number of ways to place 8 nonattacking queens on an n X n board. 0
0, 0, 0, 0, 0, 0, 0, 92, 13848, 636524, 14803480, 207667564, 2008758532, 14752426528, 87154016752, 432539436508, 1858901487620 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,8

COMMENTS

Conjectured recurrence order is 477 (see "Non-attacking chess pieces", p. 19). - Vaclav Kotesovec, Dec 19 2014

LINKS

Table of n, a(n) for n=1..17.

S. Chaiken, C. R. H. Hanusa and T. Zaslavsky, A q-Queens Problem, I. General theory, arXiv:1303.1879 [math.CO], 2013-2014.

V. Kotesovec, Non-attacking chess pieces, 6ed, 2013

Antal Pinter, Combinatorics, software for enumerating positions of non-attacking chess pieces.

I. Rivin, I. Vardi and P. Zimmermann, The n-queens problem, Amer. Math. Monthly, 101 (1994), 629-639.

FORMULA

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

CROSSREFS

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

Sequence in context: A267787 A267734 A146503 * A146515 A252631 A191948

Adjacent sequences:  A252590 A252591 A252592 * A252594 A252595 A252596

KEYWORD

nonn,hard,more

AUTHOR

Antal Pinter, Dec 18 2014

EXTENSIONS

a(16) from Vaclav Kotesovec, Dec 19 2014

a(17) from Vaclav Kotesovec, Dec 20 2014

STATUS

approved

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Last modified April 12 16:16 EDT 2021. Contains 342921 sequences. (Running on oeis4.)