This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A285675 #38 Jan 05 2022 13:54:30 %S A285675 1,-2,-2,0,6,8,4,-4,-18,-34,-32,-8,36,96,144,152,94,-60,-294,-560, %T A285675 -760,-760,-460,228,1276,2486,3576,4080,3456,1304,-2576,-7956,-13986, %U A285675 -19208,-21644,-19056,-9462,8200,33364,63224,92384,112860,114976,88896,26660,-74792 %N A285675 Expansion of Product_{n>0} ((1-x^n)/(1+x^n))^n in powers of x. %H A285675 Seiichi Manyama, <a href="/A285675/b285675.txt">Table of n, a(n) for n = 0..10000</a> %F A285675 a(0) = 1, a(n) = -(2/n)*Sum_{k=1..n} A076577(k)*a(n-k) for n > 0. %F A285675 G.f.: exp(Sum_{k>=1} (sigma_2(k) - sigma_2(2*k))*x^k/(2*k)). - _Ilya Gutkovskiy_, Apr 14 2019 %F A285675 G.f.: exp( - 2*Sum_{n >= 0} x^(2*n+1)/((2*n+1)*(1 - x^(2*n+1))^2) ). Cf. A000122. - _Peter Bala_, Dec 23 2021 %Y A285675 Product_{n>0} ((1-x^n)/(1+x^n))^(n^m): A002448 (m=0), this sequence (m=1), A285988 (m=2), A285990 (m=3), A285991 (m=4). %Y A285675 Cf. A076577, A156616. %K A285675 sign %O A285675 0,2 %A A285675 _Seiichi Manyama_, Apr 30 2017