A065142 - OEIS

%I #9 Jun 18 2018 09:00:08

%S 1,24,8640,11612160,38320128000,251073478656000,2868263420166144000,

%T 52317124783830466560000,1429513117593383668285440000,

%U 55751011586141963063132160000000

%N a(n) = 2^n*(n+1)*(3*n)!.

%H Harry J. Smith, <a href="/A065142/b065142.txt">Table of n, a(n) for n = 0..50</a>

%F Integral representation as n-th moment of a positive function on a positive half-axis, in Maple notation: a(n)=int(x^n*(1/36*(2^(2/3)*x^(1/3)+4)*exp(-1/2*2^(2/3)*x^(1/3))*2^(2/3)/x^(2/3)), x=0..infinity), n=0, 1...

%o (PARI) { for (n=0, 50, write("b065142.txt", n, " ", 2^n*(n + 1)*(3*n)!) ) } \\ _Harry J. Smith_, Oct 12 2009

%K nonn

%O 0,2

%A _Karol A. Penson_, Oct 16 2001