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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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified August 27 17:19 EDT 2015. Contains 261095 sequences.