A124382 - OEIS

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A124382

O.g.f.: A(x) = Sum_{n>=0} x^n*Product_{k=0..n} (1 + k*(k+1)*(k+2)/6*x).

1, 1, 2, 6, 20, 90, 465, 2826, 20020, 158348, 1430189, 14217275, 157279196, 1903617880, 25151383277, 361228405394, 5594555181227, 93472423847492, 1671138501448565, 31988293954710201, 651665490924639449 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,3`
	EXAMPLE	`A(x) = 1 + x(1+x) + x^2(1+x)(1+4x) + x^3(1+x)(1+4x)(1+10x) +...`
	PROG	`(PARI) a(n)=polcoeff(sum(k=0, n, x^kprod(j=0, k, 1+j(j+1)(j+2)/3!x+x*O(x^n))), n)`
	CROSSREFS	`Sequence in context: A177483 A004104 A079468 * A000666 A180890 A027321` `Adjacent sequences: A124379 A124380 A124381 * A124383 A124384 A124385`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Oct 28 2006`

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Last modified February 14 23:16 EST 2012. Contains 205687 sequences.