A022704 - OEIS

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A022704

Expansion of Product_{m>=1} (1+m*q^m)^-12.

1, -12, 54, -112, 189, -804, 2534, -4104, 8202, -28116, 62976, -109224, 254223, -612048, 1262910, -2518896, 5112144, -11106144, 23407814, -44129784, 87494994, -185162108, 362468046, -687455256, 1354087433

(list; graph; refs; listen; history; text; internal format)

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)^-12, {k, 1, nmax}], {q, 0, nmax}], q]] (* G. C. Greubel, Jul 20 2018 *)

PROG

(PARI) m=50; q='q+O('q^m); Vec(prod(n=1, m, (1+n*q^n)^-12)) \\ G. C. Greubel, Jul 20 2018

CROSSREFS

Sequence in context: A209676 A000735 A341558 * A372025 A060785 A059986

Adjacent sequences: A022701 A022702 A022703 * A022705 A022706 A022707

KEYWORD

sign

AUTHOR

N. J. A. Sloane

STATUS

approved