A127456 Special values of hypergeometric function of type 3F3: a(n)=3^n*(n!)^3* 3F3(n+1, n+1, n+1; 1, 1, 1; 3)*exp(-3), n=0,1...

1, 309, 394569, 1152570141, 6146536982625, 52816853458623141, 674834132958408150489, 12117734852792708882420829, 293263049341469022013133757441

Offset

0,2

Comments

Arises in the boson normal ordering problem.

Links

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

Mathematica

Table[3^n*(n!)^3*HypergeometricPFQ[{n+1, n+1, n+1}, {1, 1, 1}, 3]*E^(-3), {n, 0, 15}] (* Vaclav Kotesovec, Jul 05 2018 *)

Crossrefs

Sequence in context: A184544 A251345 A105841 * A114484 A014369 A273593

Adjacent sequences: A127453 A127454 A127455 * A127457 A127458 A127459

Keyword

nonn

Author

Karol A. Penson, Jan 15 2007

Status

approved