id:A089464 - OEIS Search Results

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Hyperbinomial transform of A089461. Also the row sums of triangle A089463, which lists the coefficients for the third hyperbinomial transform.

+0
3

1, 4, 22, 163, 1564, 18679, 268714, 4538209, 88188280, 1940666635, 47744244286, 1299383450941, 38777402351476, 1259552677645903, 44247546748659130, 1671904534990870369, 67624237153933934704, 2915628368081840175379 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`a(n) = sum(k=0..n, 3(n-k+3)^(n-k-1)C(n, k)). E.g.f.: exp(x)*(-LambertW(-x)/x)^3.`
	CROSSREFS	`Cf. A089461, A089463(triangle).` `Adjacent sequences: A089461 A089462 A089463 this_sequence A089465 A089466 A089467` `Sequence in context: A087547 A000779 A053144 this_sequence A111343 A121397 A067369`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Nov 05 2003`

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Last modified October 15 20:12 EDT 2008. Contains 145099 sequences.

AT&T Labs Research