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A285991 Expansion of Product_{n>0} ((1-x^n)/(1+x^n))^(n^4) in powers of x. 3

%I #11 Apr 14 2019 11:55:14

%S 1,-2,-30,-100,262,3672,13836,-80,-264810,-1421438,-3019032,7630764,

%T 89648580,358974280,548677872,-2390377936,-20531491146,-74635378020,

%U -110275527170,425036176572,3669041188152,13597190512480,23995331740700,-45340748171760

%N Expansion of Product_{n>0} ((1-x^n)/(1+x^n))^(n^4) in powers of x.

%F a(0) = 1, a(n) = -(2/n)*Sum_{k=1..n} A096960(k)*a(n-k) for n > 0.

%F G.f.: exp(Sum_{k>=1} (sigma_5(k) - sigma_5(2*k))*x^k/(16*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), A285990 (m=3), this sequence (m=4).

%Y Cf. A096960, A206624.

%K sign

%O 0,2

%A _Seiichi Manyama_, Apr 30 2017

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Last modified April 25 11:06 EDT 2024. Contains 371967 sequences. (Running on oeis4.)