A022645 Expansion of Product_{m>=1} (1 + m*q^m)^17.

1, 17, 170, 1309, 8483, 48467, 251209, 1203311, 5397330, 22890874, 92481394, 358011602, 1334253585, 4805716553, 16782510007, 56979399970, 188517704002, 609021410570, 1924506074441, 5957712195945, 18092683604856, 53965253533463, 158264095730459, 456803437466434, 1298781701177781

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn

Links

• G. C. Greubel, Table of n, a(n) for n = 0..1000

Crossrefs

Column k=17 of A297321.

Programs

Magma

Coefficients(&*[(1+m*x^m)^17:m in [1..40]])[1..40] where x is PolynomialRing(Integers()).1; // G. C. Greubel, Feb 17 2018

Maple

[seq(coeff(series(mul((1+m*q^m)^(17), m=1..100),q,101),q,j),j=0..25)]; # Muniru A Asiru, Feb 18 2018

Mathematica

With[{nmax = 50}, CoefficientList[Series[Product[(1 + k*q^k)^17, {k, 1, nmax}], {q, 0, nmax}], q]] (* G. C. Greubel, Feb 17 2018 *)

PARI

m=50; q='q+O('q^m); Vec(prod(n=1,m,(1+n*q^n)^17)) \\ G. C. Greubel, Feb 17 2018