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 A363427 #14 Jun 02 2023 10:19:03
%S A363427 1,1,4,68,4422,1136646,1165077220,4773325045092,78210934437541505,
%T A363427 5125710024629047469249,1343679254641311248179226112,
%U A363427 1408951161809404147369817577873792,5909570902737024213107077083032728540592
%N A363427 G.f. satisfies A(x) = exp( Sum_{k>=1} (-1)^(k+1) * A(4*x^k) * x^k/k ).
%H A363427 Seiichi Manyama, <a href="/A363427/b363427.txt">Table of n, a(n) for n = 0..58</a>
%F A363427 A(x) = Sum_{k>=0} a(k) * x^k = Product_{k>=0} (1+x^(k+1))^(4^k * a(k)).
%F A363427 a(0) = 1; a(n) = (1/n) * Sum_{k=1..n} ( Sum_{d|k} (-1)^(k/d+1) * d * 4^(d-1) * a(d-1) ) * a(n-k).
%o A363427 (PARI) seq(n) = my(A=1); for(i=1, n, A=exp(sum(k=1, i, (-1)^(k+1)*subst(A, x, 4*x^k)*x^k/k)+x*O(x^n))); Vec(A);
%Y A363427 Cf. A004111, A363425, A363426.
%Y A363427 Cf. A363339, A363424.
%K A363427 nonn
%O A363427 0,3
%A A363427 _Seiichi Manyama_, Jun 01 2023