login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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... 0

%I #6 Jul 05 2018 11:41:54

%S 1,309,394569,1152570141,6146536982625,52816853458623141,

%T 674834132958408150489,12117734852792708882420829,

%U 293263049341469022013133757441

%N 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...

%C Arises in the boson normal ordering problem.

%t 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 *)

%K nonn

%O 0,2

%A _Karol A. Penson_, Jan 15 2007

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 19 16:21 EDT 2024. Contains 371794 sequences. (Running on oeis4.)