A022708 Expansion of Product_{m>=1} (1+m*q^m)^-16.

1, -16, 104, -352, 772, -2144, 8032, -21088, 41034, -107728, 320160, -703648, 1435960, -3611040, 8707808, -18347392, 39248691, -88070064, 194779296, -412179776, 848638468, -1802931104, 3862466240, -7869949440, 15883030654

Offset: 0

Author

N. J. A. Sloane

Keywords

• sign
• easy

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)^-16, {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)^-16)) \\ G. C. Greubel, Jul 20 2018