id:A089461 - OEIS Search Results

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Hyperbinomial transform of A088957. Also the row sums of triangle A089460, which lists the coefficients for the second hyperbinomial transform.

+0
4

1, 3, 13, 81, 689, 7553, 101961, 1639529, 30640257, 653150529, 15649353929, 416495026841, 12193949444193, 389572905351425, 13488730646528265, 503205102139969977, 20123584054543823105, 858863606297804378753 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`a(n) = sum(k=0..n, 2(n-k+2)^(n-k-1)C(n, k)). E.g.f.: exp(x)*(-LambertW(-x)/x)^2.`
	CROSSREFS	`Cf. A088957, A089460(triangle).` `Sequence in context: A020014 A135921 A005923 this_sequence A000684 A057993 A000904` `Adjacent sequences: A089458 A089459 A089460 this_sequence A089462 A089463 A089464`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Nov 05 2003`

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Last modified December 16 17:18 EST 2009. Contains 170825 sequences.

AT&T Labs Research