login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A153028 Special values of the hypergeometric function of the type 4F0. 1
1, 1, 1, 1, 7, 31, 361, 3361, 57121, 873937, 20110861, 446072221, 13230551071, 394398451591, 14556740314117, 554429787469741, 24799106347186081 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

Table of n, a(n) for n=0..16.

FORMULA

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

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

MATHEMATICA

Table[HypergeometricPFQ[{-n/2, 1/2-n/2, 1-n/2, 3/2-n/2}, {}, 4], {n, 0, 20}] (* Vaclav Kotesovec, Jul 05 2018 *)

CROSSREFS

Sequence in context: A143564 A253596 A298958 * A276667 A322894 A232993

Adjacent sequences:  A153025 A153026 A153027 * A153029 A153030 A153031

KEYWORD

nonn

AUTHOR

Karol A. Penson, Dec 17 2008

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 27 09:44 EST 2020. Contains 332301 sequences. (Running on oeis4.)