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A080141 (3^(n-1))*(n!)^2. 1
1, 12, 324, 15552, 1166400, 125971200, 18517766400, 3555411148800, 863964909158400, 259189472747520000, 94085778607349760000, 40645056358375096320000, 20607043573696173834240000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..100

FORMULA

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.

MAPLE

with(finance):seq(mul(futurevalue(3, k, 2), k=0..n)/3, n=0..12); # Zerinvary Lajos, Jul 01 2008

MATHEMATICA

Table[(3^(n - 1)) (n!)^2, {n, 1, 30}] (* Vincenzo Librandi, Feb 24 2014 *)

PROG

(PARI) a(n) = (3^(n-1))*(n!)^2; \\ Joerg Arndt, Feb 23 2014

CROSSREFS

Sequence in context: A083431 A239781 A288032 * A153468 A230817 A298245

Adjacent sequences:  A080138 A080139 A080140 * A080142 A080143 A080144

KEYWORD

nonn

AUTHOR

Karol A. Penson, Jan 30 2003

STATUS

approved

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Last modified May 31 22:45 EDT 2020. Contains 334756 sequences. (Running on oeis4.)