A022740 Expansion of Product (1-m*q^m)^-16; m=1..inf.

1, 16, 168, 1376, 9604, 59488, 335904, 1758816, 8646986, 40281296, 179065184, 763837600, 3140732344, 12494160288, 48236274976, 181203877248, 663837626163, 2376282980272, 8325497904672

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn

Links

• Robert Israel, Table of n, a(n) for n = 0..3000

Crossrefs

Cf. A006906, A022611, A022644, A023014.

Column k=16 of A297328.

Programs

Maple

N:= 30: # for a(0)..a(N)
P:= mul(1-m*q^m,m=1..N):
S:= series(P,q,N+1):
S16:= series(S^(-16),q,N+1):
seq(coeff(S16,q,i),i=0..N); # Robert Israel, Dec 22 2019

Mathematica

nmax = 20; CoefficientList[Series[Product[1/(1 - k*x^k)^16, {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Dec 23 2019 *)