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 A300581 #5 Mar 09 2018 08:01:15 %S A300581 1,4,24,112,544,2368,10624,44800,190976,791552,3282944,13414400, %T A300581 54829056,222117888,899383296,3625123840,14601027584,58659700736, %U A300581 235555782656,944552017920,3786334535680,15166305468416,60736264994816,243129089261568,973133053952000 %N A300581 Expansion of Product_{k>=1} 1/(1 - 2^(k+1)*x^k). %F A300581 a(n) ~ c * 4^n, where c = A065446 = 1/QPochhammer(1/2) = 3.46274661945506361... %t A300581 nmax = 25; CoefficientList[Series[Product[1/(1-2^(k+1)*x^k), {k, 1, nmax}], {x, 0, nmax}], x] %Y A300581 Cf. A075900, A300579. %Y A300581 Cf. A023882, A077365, A179381, A300520. %K A300581 nonn %O A300581 0,2 %A A300581 _Vaclav Kotesovec_, Mar 09 2018