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 A352862 #5 Apr 07 2022 09:22:35
%S A352862 1,2,8,36,170,865,4742,27757,172375,1130865,7809057,56572404,
%T A352862 428710587,3389749264,27901667938,238599540142,2115876327408,
%U A352862 19425465343555,184355895494512,1806122902809371,18242807108024625,189750478368293523,2030261803964224359,22323607721661782198
%N A352862 a(n) = 1 + Sum_{k=0..n-1} binomial(n+3,k+4) * a(k).
%F A352862 G.f. A(x) satisfies: A(x) = 1 / (1 - x) + x * A(x/(1 - x)) / (1 - x)^5.
%F A352862 a(0) = 1; a(n) = a(n-1) + Sum_{k=0..n-1} binomial(n+2,k+3) * a(k).
%t A352862 a[n_] := a[n] = 1 + Sum[Binomial[n + 3, k + 4] a[k], {k, 0, n - 1}]; Table[a[n], {n, 0, 23}]
%t A352862 nmax = 23; A[_] = 0; Do[A[x_] = 1/(1 - x) + x A[x/(1 - x)]/(1 - x)^5 + O[x]^(nmax + 1) // Normal, nmax + 1]; CoefficientList[A[x], x]
%Y A352862 Cf. A000110, A032346, A032347, A045499, A045500, A186021, A352861.
%K A352862 nonn
%O A352862 0,2
%A A352862 _Ilya Gutkovskiy_, Apr 06 2022