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 A300583 #8 Sep 05 2025 14:17:04 %S A300583 1,6,54,378,2754,17982,121014,765450,4894506,30429918,189311094, %T A300583 1160312850,7113869226,43228473822,262556300286,1587419581410, %U A300583 9590551158474,57795130268694,348125978482686,2093918636332530,12590534397102930,75647788993941174 %N A300583 Expansion of Product_{k>=1} 1 / (1 - 2*3^k*x^k). %F A300583 a(n) ~ c * 6^n, where c = A065446 = 1/QPochhammer(1/2) = 3.46274661945506361153... %t A300583 nmax = 25; CoefficientList[Series[Product[1/(1-2*3^k*x^k), {k, 1, nmax}], {x, 0, nmax}], x] %Y A300583 Cf. A065446, A242587, A300582. %K A300583 nonn,changed %O A300583 0,2 %A A300583 _Vaclav Kotesovec_, Mar 09 2018