A022690 Expansion of Product_{m>=1} (1-m*q^m)^30.

1, -30, 375, -2350, 5625, 18594, -159470, 264000, 897090, -3531910, -1435527, 16983900, 18552080, -93541590, -225801585, 676209374, 1172571840, -2433574980, -6300652790, 673571550, 37882244124

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)^30:m in [1..40]])[1..40] where x is PolynomialRing(Integers()).1; // G. C. Greubel, Jul 19 2018

Mathematica

With[{nmax = 50}, CoefficientList[Series[Product[(1 - k*q^k)^30, {k, 1, nmax}], {q, 0, nmax}], q]] (* G. C. Greubel, Jul 19 2018 *)

PARI

m=50; q='q+O('q^m); Vec(prod(n=1,m,(1-n*q^n)^30)) \\ G. C. Greubel, Jul 19 2018