id:A124380 - OEIS Search Results

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O.g.f.: A(x) = Sum_{n>=0} x^n*Product_{k=0..n} (1 + k*x).

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1, 1, 2, 4, 9, 22, 57, 157, 453, 1368, 4296, 13995, 47138, 163779, 585741, 2152349, 8113188, 31326760, 123748871, 499539900, 2058542819, 8651755865, 37054078481, 161591063250, 717032333816, 3235298221401, 14834735654080, 69085973044125 (list; graph; listen)

	OFFSET	`0,3`
	EXAMPLE	`A(x) = 1 + x(1+x) + x^2(1+x)(1+2x) + x^3(1+x)(1+2x)(1+3x) +...`
	PROGRAM	`(PARI) a(n)=polcoeff(sum(k=0, n, x^kprod(j=0, k, 1+jx+x*O(x^n))), n)`
	CROSSREFS	`Adjacent sequences: A124377 A124378 A124379 this_sequence A124381 A124382 A124383` `Sequence in context: A099754 A105633 A099241 this_sequence A059019 A121953 A024427`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Oct 28 2006`

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Last modified May 16 01:24 EDT 2008. Contains 139630 sequences.

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