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A285990 Expansion of Product_{n>0} ((1-x^n)/(1+x^n))^(n^3) in powers of x. 5
1, -2, -14, -24, 78, 536, 1236, -308, -12322, -45218, -73680, 76144, 872868, 2833904, 4612952, -2467592, -42205746, -147191388, -285572658, -127256088, 1376616024, 6138841704, 14949184532, 19201535108, -18287313476, -186761626394, -604980766280 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
FORMULA
a(0) = 1, a(n) = -(2/n)*Sum_{k=1..n} A285989(k)*a(n-k) for n > 0.
G.f.: exp(Sum_{k>=1} (sigma_4(k) - sigma_4(2*k))*x^k/(8*k)). - Ilya Gutkovskiy, Apr 14 2019
CROSSREFS
Product_{n>0} ((1-x^n)/(1+x^n))^(n^m): A002448 (m=0), A285675 (m=1), A285988 (m=2), this sequence (m=3), A285991 (m=4).
Sequence in context: A172048 A226334 A109255 * A174594 A051222 A194411
KEYWORD
sign
AUTHOR
Seiichi Manyama, Apr 30 2017
STATUS
approved

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Last modified March 28 14:33 EDT 2024. Contains 371254 sequences. (Running on oeis4.)