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A080141
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(3^(n-1))*(n!)^2.
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0
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1, 12, 324, 15552, 1166400, 125971200, 18517766400, 3555411148800, 863964909158400, 259189472747520000, 94085778607349760000, 40645056358375096320000, 20607043573696173834240000
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OFFSET
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1,2
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LINKS
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Table of n, a(n) for n=1..13.
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FORMULA
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Expression as an n-th moment of a positive function on a positive half-axis, in Maple notation a(n)=int(x^n*2*BesselK(0, 2*sqrt(x)/sqrt(3))/9, x=0..infinity), n=1, 2... . This is a solution of a Stieltjes moment problem.
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MAPLE
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with(finance):seq(mul(futurevalue(3, k, 2), k=0..n)/3, n=0..12); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 01 2008
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CROSSREFS
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Sequence in context: A180790 A080325 A083431 * A153468 A110101 A185247
Adjacent sequences: A080138 A080139 A080140 * A080142 A080143 A080144
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KEYWORD
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nonn
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AUTHOR
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Karol A. Penson, Jan 30 2003
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STATUS
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approved
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