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 A308368 #9 Nov 05 2021 05:28:07
%S A308368 1,2,8,32,142,652,3176,15916,82120,432334,2315360,12569180,69018212,
%T A308368 382630996,2138788360,12040391240,68204335458,388473940840,
%U A308368 2223439634504,12781420672112,73762215951860,427196466303812,2482105805258232,14464061008937328,84514482402557528
%N A308368 G.f. A(x) satisfies: A(x) = x * Product_{k>=1} (1 + A(x^k))/(1 - A(x^k)).
%H A308368 Vaclav Kotesovec, <a href="/A308368/b308368.txt">Table of n, a(n) for n = 1..200</a>
%F A308368 a(n) ~ c * d^n / n^(3/2), where d = 6.218062815147882349... and c = 0.1489003353315039... - _Vaclav Kotesovec_, Nov 05 2021
%t A308368 terms = 25; A[_] = 0; Do[A[x_] = x Product[(1 + A[x^k])/(1 - A[x^k]), {k, 1, terms}] + O[x]^(terms + 1) // Normal, terms + 1]; CoefficientList[A[x], x] // Rest
%Y A308368 Cf. A050383, A091865.
%K A308368 nonn
%O A308368 1,2
%A A308368 _Ilya Gutkovskiy_, May 22 2019