A022672 Expansion of Product_{m >= 1} (1-m*q^m)^12.

1, -12, 42, 32, -441, 324, 1486, 552, -5925, -14960, 26490, 46488, 23436, -86940, -454572, -84008, 650589, 2512344, 2002056, -5360256, -9309792, -16236104, 3738294, 49969488, 106062099, 90950460, -166391628, -472579032, -780853359, -269428512, 1218718846, 4153700664, 5179581558

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)^12:m in [1..40]])[1..40] where x is PolynomialRing(Integers()).1; // G. C. Greubel, Feb 24 2018

Mathematica

With[{nmax = 50}, CoefficientList[Series[Product[(1 - k*q^k)^12, {k, 1, nmax}], {q, 0, nmax}], q]] (* G. C. Greubel, Feb 24 2018 *)

PARI

m=50; q='q+O('q^m); Vec(prod(n=1,m,(1-n*q^n)^12)) \\ G. C. Greubel, Feb 24 2018

Extensions

Terms a(27) onward added by G. C. Greubel, Feb 24 2018