A022707 Expansion of Product_{m>=1} (1+m*q^m)^-15.

1, -15, 90, -275, 555, -1653, 6185, -14745, 27390, -77370, 222210, -454050, 935885, -2388795, 5531835, -11402626, 24305100, -53821020, 117704765, -244275885, 494231898, -1048892855, 2216119785, -4418663160, 8855734025

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)^-15, {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)^-15)) \\ G. C. Greubel, Jul 20 2018