A022606 Expansion of Product_{m>=1} (1+q^m)^(-11).

1, -11, 55, -176, 451, -1078, 2453, -5181, 10329, -19954, 37455, -68135, 120725, -209583, 357258, -598136, 985072, -1599807, 2565365, -4063191, 6362323, -9860851, 15138013, -23027730, 34729959, -51965067, 77174735

Offset

0,2

Links

Seiichi Manyama, Table of n, a(n) for n = 0..1000

Formula

a(n) ~ (-1)^n * 11^(1/4) * exp(Pi*sqrt(11*n/6)) / (2^(7/4) * 3^(1/4) * n^(3/4)). - Vaclav Kotesovec, Aug 27 2015

a(0) = 1, a(n) = -(11/n)*Sum_{k=1..n} A000593(k)*a(n-k) for n > 0. - Seiichi Manyama, Apr 05 2017

Mathematica

nmax = 50; CoefficientList[Series[Product[1/(1 + x^k)^11, {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Aug 27 2015 *)

Crossrefs

Sequence in context: A010927 A009550 A226255 * A072025 A098992 A246990

Adjacent sequences: A022603 A022604 A022605 * A022607 A022608 A022609

Keyword

sign

Author

N. J. A. Sloane

Status

approved