A022657 Expansion of Product_{m>=1} (1+m*q^m)^29.

1, 29, 464, 5423, 51562, 421660, 3067243, 20294258, 124073136, 709124530, 3822833563, 19575902886, 95762136734, 449596203788, 2033731127704, 8892638053645, 37692168204784, 155240829585546

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn

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..50] where x is PolynomialRing(Integers()).1; // G. C. Greubel, Jul 18 2018

Mathematica

With[{nmax=50}, CoefficientList[Series[Product[(1+m*q^m)^29,{m,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)^29)) \\ G. C. Greubel, Jul 18 2018