A022689 Expansion of Product_{m>=1} (1-m*q^m)^29.

1, -29, 348, -2059, 4234, 19024, -133545, 168954, 832532, -2499510, -2308545, 11279782, 22571454, -55885088, -217574356, 383141127, 1062928416, -961984578, -4860016156, -3840850828, 23405599444

Offset

0,2

Links

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

Mathematica

With[{nmax = 50}, CoefficientList[Series[Product[(1 - k*q^k)^29, {k, 1, nmax}], {q, 0, nmax}], q]] (* G. C. Greubel, Jul 19 2018 *)

Prog

(PARI) m=50; q='q+O('q^m); Vec(prod(n=1, m, (1-n*q^n)^29)) \\ G. C. Greubel, Jul 19 2018
(Magma) Coefficients(&*[(1-m*x^m)^29:m in [1..40]])[1..40] where x is PolynomialRing(Integers()).1; // G. C. Greubel, Jul 19 2018

Crossrefs

Sequence in context: A125417 A156640 A239743 * A234810 A077516 A142278

Adjacent sequences: A022686 A022687 A022688 * A022690 A022691 A022692

Keyword

sign

Author

N. J. A. Sloane

Status

approved