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A061594
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Number of ways to place 3n nonattacking kings on a 6 X 2n chessboard.
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13
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1, 32, 408, 3600, 26040, 166368, 976640, 5392704, 28432288, 144605184, 714611200, 3449705600, 16333065216, 76081271168, 349524164224, 1586790140800, 7130144209024, 31752978219904, 140298397039232, 615604372260736
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OFFSET
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0,2
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LINKS
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FORMULA
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G.f.: (1+13x-52x^2-20x^3+60x^4-20x^5)/((1-3x)(1-4x)^2(1-4x+2x^2)^2).
Explicit formula: (231n-2377)*4^n - 384*3^n + (1953*sqrt(2)/2+1381+(35*sqrt(2)+99/2)*n)*(2+sqrt(2))^n + (1381-1953*sqrt(2)/2+(99/2-35*sqrt(2))*n)*(2-sqrt(2))^n. - Vaclav Kotesovec, Feb 06 2010
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PROG
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(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)
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CROSSREFS
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KEYWORD
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nonn,nice
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AUTHOR
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Antonio G. Astudillo (afg_astudillo(AT)hotmail.com), May 22 2001
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EXTENSIONS
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STATUS
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approved
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