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A153028 Special values of the hypergeometric function of the type 4F0. 1

%I

%S 1,1,1,1,7,31,361,3361,57121,873937,20110861,446072221,13230551071,

%T 394398451591,14556740314117,554429787469741,24799106347186081

%N Special values of the hypergeometric function of the type 4F0.

%F In Maple notation, a(n)=hypergeom([ -n/2,1/2-n/2,1-n/2,3/2-n/2],[],4), n=0,1... .

%F a(n) ~ 2^(-n/2 - 5/8) * exp(2^(5/4) * n^(1/4) - 3*n/2) * n^(3*n/2 - 9/8) * (1 - 15/(16*2^(1/4)*n^(1/4)) - 151/(512*sqrt(2*n)) + 4155/(8192*2^(3/4)*n^(3/4))). - _Vaclav Kotesovec_, Jul 05 2018

%t Table[HypergeometricPFQ[{-n/2,1/2-n/2,1-n/2,3/2-n/2},{},4], {n,0,20}] (* _Vaclav Kotesovec_, Jul 05 2018 *)

%K nonn

%O 0,5

%A _Karol A. Penson_, Dec 17 2008

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Last modified April 7 04:20 EDT 2020. Contains 333292 sequences. (Running on oeis4.)