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 A308369 #9 May 22 2019 20:59:21 %S A308369 1,1,4,12,41,133,485,1752,6677,25809,102130,409532,1665128,6837348, %T A308369 28333334,118288386,497120101,2101181482,8926401690,38093403136, %U A308369 163224292328,701951448268,3028792691947,13108224143298,56887750453404,247512117880754,1079421026637431 %N A308369 G.f. A(x) satisfies: A(x) = x * Product_{k>=1} 1/(1 - A(x^k))^k. %F A308369 G.f. A(x) satisfies: A(x) = x * exp(Sum_{k>=1} Sum_{d|k} d^2 * A(x^d)^(k/d) / k). %t A308369 terms = 27; A[_] = 0; Do[A[x_] = x Product[1/(1 - A[x^k])^k, {k, 1, terms}] + O[x]^(terms + 1) // Normal, terms + 1]; CoefficientList[A[x], x] // Rest %Y A308369 Cf. A050383, A091865, A308370, A308371, A308372. %K A308369 nonn %O A308369 1,3 %A A308369 _Ilya Gutkovskiy_, May 22 2019