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Special values of hypergeometric function of type 3F3: a(n)=2^n*(n!)^3* 3F3(n+1, n+1, n+1; 1, 1, 1; 2)*exp(-2), n=0,1...
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%I #6 Jul 05 2018 11:44:41

%S 1,94,45920,55778752,129855889408,503551178817536,2975887276596527104,

%T 25199060941109033697280,292141809626086463957368832

%N Special values of hypergeometric function of type 3F3: a(n)=2^n*(n!)^3* 3F3(n+1, n+1, n+1; 1, 1, 1; 2)*exp(-2), n=0,1...

%C Arises in the boson normal ordering problem

%t Table[2^n*(n!)^3* HypergeometricPFQ[{n+1, n+1, n+1},{1, 1, 1}, 2]*E^(-2), {n,0,15}] (* _Vaclav Kotesovec_, Jul 05 2018 *)

%K nonn

%O 0,2

%A _Karol A. Penson_, Jan 15 2007