A157281 - OEIS

This site is supported by donations to The OEIS Foundation.

A157281

a(n) arises in the normal ordering of n-th power of the operator (d/dx)^2(x(d/dx))^3

5, 735, 388495, 481590401, 1137296646141, 4516854024385855, 27752662708200238775, 248444078372890409312385, 3097105045238321286477572341, 51894055293560470969321661603231 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,1`
	COMMENTS	`Special values of a sum of two hypergeometric functions of type 3F4.` `In Maple notation:` `a(n)=2^(3n-1)exp(-1)((n!)^3hypergeom([n+1,n+1,n+1],[1,1,3/2,2],1/4)+` `2(GAMMA(n+1/2)/sqrt(Pi))^3hypergeom([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: A092133 A071772 A199089 * A171269 A172890 A195612` `Adjacent sequences: A157278 A157279 A157280 * A157282 A157283 A157284`
	KEYWORD	`nonn`
	AUTHOR	`Karol A. Penson (penson(AT)lptl.jussieu.fr), Mar 03 2009`

Content is available under The OEIS End-User License Agreement .

Last modified February 15 08:20 EST 2012. Contains 205729 sequences.