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Search: id:A157281
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A157281 a(n) arises in the normal ordering of nth power of the operator (d/dx)^2(x(d/dx))^3 +0
1
5, 735, 388495, 481590401, 1137296646141, 4516854024385855, 27752662708200238775, 248444078372890409312385, 3097105045238321286477572341, 51894055293560470969321661603231 (list; graph; listen)
OFFSET

0,1

COMMENT

Special values of a sum of two hypergeometric functions of type 3F4.

In Maple notation:

a(n)=2^(3*n-1)*exp(-1)*((n!)^3*hypergeom([n+1,n+1,n+1],[1,1,3/2,2],1/4)+

2*(GAMMA(n+1/2)/sqrt(Pi))^3*hypergeom([n+1/2,n+1/2,n+1/2],[1/2,1/2,1/2,3/2],1/4)), n=1,2... .

CROSSREFS

Cf. A088466

Sequence in context: A000367 A092133 A071772 this_sequence A051304 A060713 A085706

Adjacent sequences: A157278 A157279 A157280 this_sequence A157282 A157283 A157284

KEYWORD

nonn

AUTHOR

Karol A. Penson (penson(AT)lptl.jussieu.fr), Mar 03 2009

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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