A127457 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...

1, 94, 45920, 55778752, 129855889408, 503551178817536, 2975887276596527104, 25199060941109033697280, 292141809626086463957368832

Offset

0,2

Comments

Arises in the boson normal ordering problem

Links

Table of n, a(n) for n=0..8.

Mathematica

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 *)

Crossrefs

Sequence in context: A252769 A218519 A281138 * A337954 A281325 A349405

Adjacent sequences: A127454 A127455 A127456 * A127458 A127459 A127460

Keyword

nonn

Author

Karol A. Penson, Jan 15 2007

Status

approved