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 A294778 #4 Nov 08 2017 12:38:49 %S A294778 1,0,0,1,0,3,1,6,3,11,12,18,29,33,69,67,138,141,275,306,516,656,972, %T A294778 1353,1828,2712,3477,5280,6654,10038,12756,18789,24369,34796,46167, %U A294778 63990,86629,117189,160698,213984,295092,389517,536683,706590,968289,1276310 %N A294778 Expansion of Product_{k>=1} 1/(1 - x^(2*k-1))^(k*(k-1)/2). %F A294778 a(n) ~ exp(2*Pi * n^(3/4) / (3^(5/4) * 5^(1/4)) - 5^(1/4) * Pi * n^(1/4) / (16*3^(3/4)) + 3*Zeta(3) / (32*Pi^2)) / (2^(31/16) * 15^(1/8) * n^(5/8)). %t A294778 nmax = 50; CoefficientList[Series[Product[1/(1-x^(2*k-1))^(k*(k-1)/2), {k, 1, nmax}], {x, 0, nmax}], x] %Y A294778 Cf. A023871, A035528, A258349, A294750. %K A294778 nonn %O A294778 0,6 %A A294778 _Vaclav Kotesovec_, Nov 08 2017