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A022611 Expansion of Product_{m>=1} (1+q^m)^(-16). 2
1, -16, 120, -576, 2076, -6304, 17344, -44416, 106630, -242480, 528608, -1112128, 2265656, -4486112, 8666112, -16376192, 30328593, -55145872, 98613424, -173670400, 301550788, -516747872, 874774016, -1464096000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

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

FORMULA

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

a(0) = 1, a(n) = -(16/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)^16, {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Aug 27 2015 *)

CROSSREFS

Sequence in context: A047641 A010932 A014805 * A324066 A164542 A027049

Adjacent sequences:  A022608 A022609 A022610 * A022612 A022613 A022614

KEYWORD

sign,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified October 15 07:42 EDT 2019. Contains 328026 sequences. (Running on oeis4.)