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 A385766 #17 Jul 10 2025 10:58:56
%S A385766 1,2,9,66,629,7071,89609,1248355,18820831,303879698,5215803877,
%T A385766 94656100969,1808853399445,36282216181916,761902799960049,
%U A385766 16714472406574829,382369378451581045,9107117241193913850,225512045313741357841,5798133159909683869788
%N A385766 G.f. A(x) satisfies A(x) = 1/((1 - x) * (1 - x*A(x)^2 - x^2*A(x)*A'(x))).
%H A385766 Seiichi Manyama, <a href="/A385766/b385766.txt">Table of n, a(n) for n = 0..445</a>
%F A385766 a(n) = 1 + Sum_{i, j, k>=0 and i+j+k=n-1} (i+1) a(i) * a(j) * a(k).
%t A385766 terms = 20; A[_] = 0; Do[A[x_] = 1/((1-x)*(1-x*A[x]^2-x^2*A[x]*A'[x])) + O[x]^terms // Normal, terms]; CoefficientList[A[x], x] (* _Stefano Spezia_, Jul 09 2025 *)
%Y A385766 Cf. A321087, A385767.
%K A385766 nonn
%O A385766 0,2
%A A385766 _Seiichi Manyama_, Jul 09 2025