A022674 Expansion of Product_{m >= 1} (1-m*q^m)^14.

1, -14, 63, -14, -651, 1162, 2198, -3432, -12320, -7098, 87479, 45024, -185038, -348250, -435473, 1642942, 2806839, 1366078, -7970459, -25275068, -631813, 38994650, 112439376, 112528514, -136016069, -535046498

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)^14, {k, 1, nmax}], {q, 0, nmax}], q]] (* G. C. Greubel, Jul 18 2018 *)

Prog

(PARI) m=50; q='q+O('q^m); Vec(prod(n=1, m, (1-n*q^n)^14)) \\ G. C. Greubel, Jul 18 2018
(Magma) Coefficients(&*[(1-m*x^m)^14:m in [1..40]])[1..40] where x is PolynomialRing(Integers()).1; // G. C. Greubel, Jul 18 2018

Crossrefs

Sequence in context: A307253 A125849 A003695 * A044152 A044533 A050492

Adjacent sequences: A022671 A022672 A022673 * A022675 A022676 A022677

Keyword

sign

Author

N. J. A. Sloane

Status

approved