A022689 Expansion of Product_{m>=1} (1-m*q^m)^29.

1, -29, 348, -2059, 4234, 19024, -133545, 168954, 832532, -2499510, -2308545, 11279782, 22571454, -55885088, -217574356, 383141127, 1062928416, -961984578, -4860016156, -3840850828, 23405599444

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)^29: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)^29, {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)^29)) \\ G. C. Greubel, Jul 19 2018