A022670 Expansion of Product_{m >= 1} (1-m*q^m)^10.

1, -10, 25, 50, -250, -52, 595, 1450, -770, -9370, 12, 9210, 38385, 50190, -104650, -203158, -345955, 350830, 1246115, 1308710, 1371409, -3990420, -10109715, -14469950, 3243700, 36855516, 73365400, 87802340, -21636795, -221067620, -594991713, -478204790, -217756880, 1095013900

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)^10: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)^10, {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)^10)) \\ G. C. Greubel, Feb 24 2018

Extensions

Terms a(29) onward added by G. C. Greubel, Feb 24 2018