

A022600


Expansion of Product (1+q^m)^5; m=1..inf.


0



1, 5, 10, 15, 30, 56, 85, 130, 205, 315, 465, 665, 960, 1380, 1925, 2651, 3660, 5020, 6775, 9070, 12126, 16115, 21220, 27765, 36235, 47101, 60810, 78115, 100105, 127825, 162391, 205530, 259475, 326565
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OFFSET

0,2


LINKS

Table of n, a(n) for n=0..33.


FORMULA

a(n) ~ (1)^n * 5^(1/4) * exp(Pi*sqrt(5*n/6)) / (2^(7/4) * 3^(1/4) * n^(3/4)).  Vaclav Kotesovec, Aug 27 2015


MATHEMATICA

nmax = 50; CoefficientList[Series[Product[1/(1 + x^k)^5, {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Aug 27 2015 *)


CROSSREFS

Sequence in context: A045206 A138521 A225701 * A067237 A196157 A048703
Adjacent sequences: A022597 A022598 A022599 * A022601 A022602 A022603


KEYWORD

sign,changed


AUTHOR

N. J. A. Sloane.


STATUS

approved



