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 A296043 #11 May 07 2018 09:31:21 %S A296043 1,1,-1,-5,-1,31,65,-90,-641,-644,3329,11386,-1471,-87021,-164634, %T A296043 317935,1881471,1418719,-11370760,-33937951,17468929,294971868, %U A296043 468897758,-1304743033,-6275603903,-2804572819,42665919997,109181454826,-106020803386,-1063546684834,-1362993953395 %N A296043 a(n) = [x^n] Product_{k>=1} ((1 + x^(2*k-1))/(1 + x^(2*k)))^n. %H A296043 G. C. Greubel, <a href="/A296043/b296043.txt">Table of n, a(n) for n = 0..500</a> %t A296043 Table[SeriesCoefficient[Product[((1 + x^(2 k - 1))/(1 + x^(2 k)))^n, {k, 1, n}], {x, 0, n}], {n, 0, 30}] %t A296043 Table[SeriesCoefficient[(x^(1/8) EllipticTheta[2, 0, x^(1/2)]/EllipticTheta[2, 0, x])^n, {x, 0, n}], {n, 0, 30}] %Y A296043 Main diagonal of A296067. %Y A296043 Cf. A029838, A029839, A029840, A029841, A029842, A029843, A029844, A029845, A296044, A296045. %K A296043 sign %O A296043 0,4 %A A296043 _Ilya Gutkovskiy_, Dec 03 2017