A022677 Expansion of Product_{m>=1} (1-m*q^m)^17.

1, -17, 102, -153, -901, 3553, 833, -17255, -7242, 55726, 179554, -312834, -871675, 519911, 2354755, 5311378, -5680414, -24956018, -20075691, 28080107, 211837476, 126533397, -349645681, -974028090, -1206400835

Offset: 0

Author

N. J. A. Sloane

Keywords

• sign

Links

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

Programs

Magma

Coefficients(&*[(1-m*x^m)^17:m in [1..40]])[1..40] where x is PolynomialRing(Integers()).1; // G. C. Greubel, Jul 18 2018

Mathematica

With[{nmax = 50}, CoefficientList[Series[Product[(1 - k*q^k)^17, {k, 1, nmax}], {q, 0, nmax}], q]] (* G. C. Greubel, Jul 18 2018 *)

PARI

m=50; q='q+O('q^m); Vec(prod(n=1,m,(1-n*q^n)^17)) \\ G. C. Greubel, Jul 18 2018