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%I #13 Apr 14 2019 11:55:09
%S 1,-2,-14,-24,78,536,1236,-308,-12322,-45218,-73680,76144,872868,
%T 2833904,4612952,-2467592,-42205746,-147191388,-285572658,-127256088,
%U 1376616024,6138841704,14949184532,19201535108,-18287313476,-186761626394,-604980766280
%N Expansion of Product_{n>0} ((1-x^n)/(1+x^n))^(n^3) in powers of x.
%H Seiichi Manyama, <a href="/A285990/b285990.txt">Table of n, a(n) for n = 0..5987</a>
%F a(0) = 1, a(n) = -(2/n)*Sum_{k=1..n} A285989(k)*a(n-k) for n > 0.
%F G.f.: exp(Sum_{k>=1} (sigma_4(k) - sigma_4(2*k))*x^k/(8*k)). - _Ilya Gutkovskiy_, Apr 14 2019
%Y 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).
%Y Cf. A206623, A285989.
%K sign
%O 0,2
%A _Seiichi Manyama_, Apr 30 2017