A022656 Expansion of Product_{m>=1} (1+m*q^m)^28.

1, 28, 434, 4928, 45619, 363804, 2584078, 16712728, 99967861, 559436136, 2954968758, 14835042600, 71185664242, 327991293140, 1456679962528, 6256129706904, 26054952884072, 105476694483636, 415919297844582

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)^28: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)^28,{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)^28)) \\ G. C. Greubel, Jul 18 2018