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 A294669 #7 Nov 07 2017 04:23:14 %S A294669 1,1,1,6,6,18,33,55,115,185,373,604,1113,1903,3251,5678,9350,16153, %T A294669 26420,44561,72912,120150,196329,317988,516881,827778,1333570,2120492, %U A294669 3381947,5347513,8447482,13285450,20813814,32547272,50638328,78707858,121738479 %N A294669 Expansion of Product_{k>=1} 1/(1 - x^(2*k-1))^(k*(3*k-1)/2). %H A294669 Vaclav Kotesovec, <a href="/A294669/b294669.txt">Table of n, a(n) for n = 0..5000</a> %F A294669 a(n) ~ exp(2*Pi * n^(3/4) / (3*5^(1/4)) + Zeta(3) * sqrt(5*n) / Pi^2 + 5^(1/4) * (Pi/48 - 5*Zeta(3)^2 / Pi^5) * n^(1/4) + 100*Zeta(3)^3 / (3*Pi^8) + 17*Zeta(3) / (96*Pi^2) - 1/24) * sqrt(A) / (2^(101/48) * 5^(11/96) * Pi^(1/24) * n^(59/96)), where A is the Glaisher-Kinkelin constant A074962. %t A294669 nmax = 50; CoefficientList[Series[Product[1/(1-x^(2*k-1))^(k*(3*k-1)/2),{k,1,nmax}],{x,0,nmax}],x] %Y A294669 Cf. A035528, A262811, A294591, A278768. %K A294669 nonn %O A294669 0,4 %A A294669 _Vaclav Kotesovec_, Nov 06 2017