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A179065 Number of non-attacking placements of 10 rooks on an n X n board. 3
0, 0, 0, 0, 0, 0, 0, 0, 0, 3628800, 439084800, 15807052800, 296821324800, 3636061228800, 32724551059200, 232707918643200, 1372501805875200, 6948290392243200, 30967071995059200, 123868287980236800 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,10
LINKS
Christopher R. H. Hanusa, T Zaslavsky, S Chaiken, A q-Queens Problem. IV. Queens, Bishops, Nightriders (and Rooks), arXiv preprint arXiv:1609.00853, a12016
Index entries for linear recurrences with constant coefficients, signature (21, -210, 1330, -5985, 20349, -54264, 116280, -203490, 293930, -352716, 352716, -293930, 203490, -116280, 54264, -20349, 5985, -1330, 210, -21, 1).
FORMULA
a(n) = 10! * binomial(n, 10)^2.
PROG
(PARI) a(n) = 10! * binomial(n, 10)^2 \\ Andrew Howroyd, Feb 13 2018
CROSSREFS
Column k=10 of A144084.
Cf. A179064 (9 rooks).
Sequence in context: A153761 A133132 A228913 * A213872 A227672 A172540
KEYWORD
easy,nonn
AUTHOR
Thomas Zaslavsky, Jun 28 2010
STATUS
approved

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Last modified April 19 08:39 EDT 2024. Contains 371782 sequences. (Running on oeis4.)