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A163494 a(n) = (4*n)!*((2*n)!)^2. 1

%I #14 Jul 27 2017 04:16:44

%S 1,96,23224320,248314429440000,34014229735617331200000,

%T 32036914532626424502681600000000,

%U 142357252766974714824047503972761600000000

%N a(n) = (4*n)!*((2*n)!)^2.

%C Integral representation as n-th moment of a positive function on a positive halfaxis (solution of the Stieltjes moment problem), in Maple notation:

%C a(n) = integral(x^n*(2*MeijerG([[], []], [[2, 2, 2, 3/2], []], (1/4)*sqrt(x))/(sqrt(Pi)*x^(3/2))), x=0..infinity), n=0,1,... . This solution may not be unique.

%H G. C. Greubel, <a href="/A163494/b163494.txt">Table of n, a(n) for n = 0..65</a>

%t Table[(4*n)!*((2*n)!)^2, {n,0,25}] (* _G. C. Greubel_, Jul 26 2017 *)

%o (PARI) a(n)=(4*n)!*((2*n)!)^2 \\ _Charles R Greathouse IV_, Jul 15 2011

%K nonn,easy

%O 0,2

%A _Karol A. Penson_, Jul 29 2009

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)