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

1, 96, 23224320, 248314429440000, 34014229735617331200000, 32036914532626424502681600000000, 142357252766974714824047503972761600000000

Offset

0,2

Comments

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

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.

Links

G. C. Greubel, Table of n, a(n) for n = 0..65

Mathematica

Table[(4*n)!*((2*n)!)^2, {n, 0, 25}] (* G. C. Greubel, Jul 26 2017 *)

Prog

(PARI) a(n)=(4*n)!*((2*n)!)^2 \\ Charles R Greathouse IV, Jul 15 2011

Crossrefs

Sequence in context: A008702 A133402 A249922 * A117846 A058286 A051330

Adjacent sequences: A163491 A163492 A163493 * A163495 A163496 A163497

Keyword

nonn,easy

Author

Karol A. Penson, Jul 29 2009

Status

approved