A022688 Expansion of Product_{m>=1} (1-m*q^m)^28.

1, -28, 322, -1792, 3059, 18788, -109970, 96232, 739669, -1676136, -2594074, 6667864, 22486226, -26768980, -188468912, 174822312, 845108712, -60897844, -3216451658, -5497042096, 11876402839, 31175102772

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)^28: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)^28, {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)^28)) \\ G. C. Greubel, Jul 19 2018