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A022611
Expansion of Product_{m>=1} (1+q^m)^(-16).
3
1, -16, 120, -576, 2076, -6304, 17344, -44416, 106630, -242480, 528608, -1112128, 2265656, -4486112, 8666112, -16376192, 30328593, -55145872, 98613424, -173670400, 301550788, -516747872, 874774016, -1464096000
OFFSET
0,2
LINKS
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: A010932 A374014 A014805 * A324066 A164542 A351383
KEYWORD
sign,easy
STATUS
approved