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A194651 Number of ways to place 3 nonattacking kings on an n X n cylindrical chessboard. 3
0, 0, 0, 88, 785, 3528, 11151, 28560, 63513, 127520, 236863, 413736, 687505, 1096088, 1687455, 2521248, 3670521, 5223600, 7286063, 9982840, 13460433, 17889256, 23466095, 30416688, 38998425, 49503168, 62260191, 77639240, 96053713, 117963960, 143880703 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

Table of n, a(n) for n=1..31.

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

FORMULA

a(n) = 1/6*n*(n^5 - 27*n^3 + 18*n^2 + 194*n - 228), n>=4.

G.f.: -x^4*(15*x^6 - 89*x^5 + 196*x^4 - 140*x^3 - 119*x^2 + 169*x + 88)/(x-1)^7.

CROSSREFS

Cf. A061996, A179404, A194650.

Sequence in context: A183839 A297228 A137124 * A072432 A136951 A136933

Adjacent sequences:  A194648 A194649 A194650 * A194652 A194653 A194654

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Aug 31 2011

STATUS

approved

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Last modified May 28 15:04 EDT 2022. Contains 354115 sequences. (Running on oeis4.)