A022679 Expansion of Product_{m>=1} (1-m*q^m)^19.

1, -19, 133, -304, -931, 5966, -3743, -30305, 25384, 124963, 115330, -927751, -921272, 3677203, 4569747, -823517, -29704847, -35843823, 67385590, 181844002, 266220704, -578824816, -1690299907, -654094418, 3019554594

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)^19: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)^19, {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)^19)) \\ G. C. Greubel, Jul 18 2018