A022710 Expansion of Product_{m>=1} (1+m*q^m)^-18.

1, -18, 135, -546, 1413, -3690, 13230, -40104, 88452, -211502, 632259, -1582488, 3336198, -8004366, 20385711, -45695742, 98495865, -224701146, 511583207, -1115983224, 2374404237, -5105519238, 11129154192

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)^-18, {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)^-18)) \\ G. C. Greubel, Jul 20 2018