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

Offset: 0

Author

N. J. A. Sloane

Keywords

• sign

Links

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

Programs

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 *)

PARI

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