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%I #13 Mar 02 2022 02:08:53
%S 1,12,324,15552,1166400,125971200,18517766400,3555411148800,
%T 863964909158400,259189472747520000,94085778607349760000,
%U 40645056358375096320000,20607043573696173834240000
%N (3^(n-1))*(n!)^2.
%H Vincenzo Librandi, <a href="/A080141/b080141.txt">Table of n, a(n) for n = 1..100</a>
%F 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.
%t Table[(3^(n - 1)) (n!)^2, {n, 1, 30}] (* _Vincenzo Librandi_, Feb 24 2014 *)
%o (PARI) a(n) = (3^(n-1))*(n!)^2; \\ _Joerg Arndt_, Feb 23 2014
%K nonn
%O 1,2
%A _Karol A. Penson_, Jan 30 2003
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