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A267008 Expansion of Product_{k>=1} (1 + (k+1)*x^k). 2
1, 2, 3, 10, 13, 28, 58, 90, 146, 260, 481, 688, 1168, 1748, 2863, 4726, 6938, 10412, 16140, 23746, 35702, 55812, 79032, 116758, 168779, 247006, 350310, 513410, 744286, 1045466, 1485685, 2098780, 2935416, 4137878, 5746618, 8027612, 11343706, 15487222 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vaclav Kotesovec, Table of n, a(n) for n = 0..10000

MATHEMATICA

nmax = 50; CoefficientList[Series[Product[1+(k+1)*x^k, {k, 1, nmax}], {x, 0, nmax}], x]

nmax = 50; poly = ConstantArray[0, nmax+1]; poly[[1]] = 1; poly[[2]] = 2; Do[Do[poly[[j+1]] += (k+1)*poly[[j-k+1]], {j, nmax, k, -1}]; , {k, 2, nmax}]; poly

CROSSREFS

Cf. A022629, A267007.

Sequence in context: A004688 A024852 A023856 * A129315 A171126 A299205

Adjacent sequences:  A267005 A267006 A267007 * A267009 A267010 A267011

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Jan 08 2016

STATUS

approved

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Last modified February 22 02:13 EST 2019. Contains 320381 sequences. (Running on oeis4.)