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 A351813 #9 May 31 2022 02:39:27
%S A351813 1,1,2,7,32,179,1184,8977,76391,719132,7405261,82654011,992533974,
%T A351813 12744345310,174073918884,2518084939316,38429337167618,
%U A351813 616676966998463,10374679318111371,182506045254212184,3349265281648290030,63984975864984809787,1270096455615572678617
%N A351813 G.f. A(x) satisfies: A(x) = 1 + x * A(x/(1 - x)^3) / (1 - x).
%H A351813 Seiichi Manyama, <a href="/A351813/b351813.txt">Table of n, a(n) for n = 0..486</a>
%F A351813 a(0) = 1; a(n) = Sum_{k=0..n-1} binomial(n+2*k-1,n-k-1) * a(k).
%t A351813 nmax = 22; A[_] = 0; Do[A[x_] = 1 + x A[x/(1 - x)^3]/(1 - x) + O[x]^(nmax + 1) // Normal, nmax + 1]; CoefficientList[A[x], x]
%t A351813 a[0] = 1; a[n_] := a[n] = Sum[Binomial[n + 2 k - 1, n - k - 1] a[k], {k, 0, n - 1}]; Table[a[n], {n, 0, 22}]
%Y A351813 Cf. A000110, A125273.
%K A351813 nonn
%O A351813 0,3
%A A351813 _Ilya Gutkovskiy_, Feb 19 2022