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Search: id:A061594
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A061594 Number of ways to place 3n nonattacking kings on a 6 X 2n chessboard. +0
2
1, 32, 408, 3600, 26040, 166368, 976640, 5392704, 28432014, 144605184, 714611200, 3449705600, 16333065216, 76081271168, 349524164224, 1586790140800, 7130144209024, 31752978219904, 140298397039232, 615604372260736 (list; graph; listen)
OFFSET

0,2

LINKS

D. E. Knuth, Nonattacking kings on a chessboard, 1994.

H. S. Wilf, The problem of the kings, Elec. J. Combin. 2, 1995.

FORMULA

G.f.: (1+13x-52x^2-20x^3+60x^4-20x^5)/((1-3x)(1-4x)^2(1-4x+2x^2)^2).

PROGRAM

(PARI) a(n)=polcoeff((1+13*x-52*x^2-20*x^3+60*x^4-20*x^5)/((1-3*x)*(1-4*x)^2*(1-4*x+2*x^2)^2)+x*O(x^n), n)

CROSSREFS

Cf. A001787, A061593.

Equals 231*A002697(n+1) - 2608*A000302(n) - 384*A000244(n) + 1103*A007070(n-1) + 780*A006012(n+1) + (n+1)*(17*A048580(n) + 12*A007070(n+1)).

Sequence in context: A128798 A086942 A068548 this_sequence A125116 A145217 A125444

Adjacent sequences: A061591 A061592 A061593 this_sequence A061595 A061596 A061597

KEYWORD

nonn

AUTHOR

Antonio G. Astudillo (afg_astudillo(AT)hotmail.com), May 22 2001

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Last modified December 2 15:58 EST 2008. Contains 150992 sequences.


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