A102388 Number of ways of placing n nonattacking Queens of the Night on an n X n board.

1, 0, 0, 0, 0, 0, 0, 0, 0, 4, 44, 6, 78, 8, 16, 18, 234, 124, 468, 516, 882, 2092, 7068, 22794, 85456, 275732, 974048, 3698242, 14120996, 59531852, 252272512, 1163430462, 5229335374

Offset

1,10

Comments

A Queen of the Night can move like a Queen or a Nightrider, which is a rider along straight lines of Knight moves.

Links

Table of n, a(n) for n=1..33.

Noam D. Elkies, Chess Pages and Links.

P. Syski, S. J. Wernli, Queen of the Night on an n X n board.

V. Kotesovec, Non-attacking chess pieces, 6ed, 2013, p. 350.

W. Schubert, N-Queens page.

Prog

See C++ code on website.

Crossrefs

Cf. A051223, A051224, A000170.

Sequence in context: A222979 A284192 A278798 * A364680 A284065 A063837

Adjacent sequences: A102385 A102386 A102387 * A102389 A102390 A102391

Keyword

nonn,hard,more,nice

Author

Stefan Wernli, Peter Syski (swernli(AT)fas.harvard.edu), Jan 07 2005

Extensions

Terms a(20)-a(28) from Vaclav Kotesovec, Jun 18 2010 and Feb 02 2011

Terms a(29)-a(32) from Wolfram Schubert, Jul 24 2011

Term a(33) from Wolfram Schubert, May 27 2012

Status

approved