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A194650 Number of ways to place 2 nonattacking kings on an n X n cylindrical chessboard. 5
0, 0, 9, 68, 215, 504, 1001, 1784, 2943, 4580, 6809, 9756, 13559, 18368, 24345, 31664, 40511, 51084, 63593, 78260, 95319, 115016, 137609, 163368, 192575, 225524, 262521, 303884, 349943, 401040, 457529, 519776, 588159, 663068, 744905, 834084, 931031, 1036184 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..38.

V. Kotesovec, Number of ways of placing non-attacking queens, kings, bishops and knights

FORMULA

a(n) = 1/2*n*(n^3 - 9*n + 6), n>=3.

G.f.: x^3*(4*x^4 - 19*x^3 + 35*x^2 - 23*x - 9)/(x-1)^5.

CROSSREFS

Cf. A061995, A179403.

Sequence in context: A002051 A231192 A133120 * A048742 A121633 A091708

Adjacent sequences:  A194647 A194648 A194649 * A194651 A194652 A194653

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Aug 31 2011

STATUS

approved

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Last modified January 22 02:46 EST 2022. Contains 350481 sequences. (Running on oeis4.)