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 A351283 #19 Feb 16 2022 04:11:18
%S A351283 1,1,1,5,16,46,142,496,1888,7538,31291,135739,617461,2939215,14575027,
%T A351283 75014471,399901294,2205630124,12572140372,73961880118,448447331338,
%U A351283 2798640572516,17956583819425,118336081817953,800278211629795,5549154792085813,39420390891260821
%N A351283 G.f. A(x) satisfies: A(x) = 1 + x + x^2 * A(x/(1 - x)) / (1 - x)^4.
%F A351283 a(0) = a(1) = 1; a(n) = Sum_{k=0..n-2} binomial(n+1,k+3) * a(k).
%t A351283 nmax = 26; A[_] = 0; Do[A[x_] = 1 + x + x^2 A[x/(1 - x)]/(1 - x)^4 + O[x]^(nmax + 1) // Normal, nmax + 1]; CoefficientList[A[x], x]
%t A351283 a[0] = a[1] = 1; a[n_] := a[n] = Sum[Binomial[n + 1, k + 3] a[k], {k, 0, n - 2}]; Table[a[n], {n, 0, 26}]
%Y A351283 Cf. A007476, A045499, A351437, A351438.
%K A351283 nonn
%O A351283 0,4
%A A351283 _Ilya Gutkovskiy_, Feb 12 2022