A089461 - OEIS

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A089461

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

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

	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: A160882 A135921 A005923 * A000684 A057993 A000904` `Adjacent sequences: A089458 A089459 A089460 * A089462 A089463 A089464`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Nov 05 2003`

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Last modified February 17 00:09 EST 2012. Contains 205978 sequences.