A022735 Expansion of Product_{m>=1} (1-m*q^m)^-11.

1, 11, 88, 561, 3124, 15642, 72303, 312708, 1280235, 4999247, 18739589, 67751289, 237202702, 806779050, 2673066187, 8647158487, 27365420159, 84865235213, 258285903491, 772463952667, 2272807540322, 6585644471945

Offset

0,2

Links

G. C. Greubel, Table of n, a(n) for n = 0..1000

Mathematica

With[{nmax = 50}, CoefficientList[Series[Product[(1 - k*q^k)^-11, {k, 1, nmax}], {q, 0, nmax}], q]] (* G. C. Greubel, Jul 25 2018 *)

Prog

(PARI) m=50; q='q+O('q^m); Vec(prod(n=1, m, (1-n*q^n)^-11)) \\ G. C. Greubel, Jul 25 2018
(Magma) n:=50; R<x>:=PowerSeriesRing(Integers(), n); Coefficients(R!(&*[(1/(1-m*x^m))^11:m in [1..n]])); // G. C. Greubel, Jul 25 2018

Crossrefs

Sequence in context: A125304 A334249 A192827 * A346448 A173731 A224179

Adjacent sequences: A022732 A022733 A022734 * A022736 A022737 A022738

Keyword

nonn

Author

N. J. A. Sloane

Status

approved