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 A352043 #5 Mar 02 2022 08:47:04
%S A352043 1,1,1,1,1,2,3,4,5,7,10,14,19,26,36,50,69,95,131,181,250,346,482,678,
%T A352043 963,1380,1994,2903,4252,6254,9222,13616,20109,29681,43755,64394,
%U A352043 94583,138632,202755,295906,430986,626585,909500,1318384,1909042,2762122,3994290
%N A352043 a(0) = 1; a(n) = Sum_{k=0..floor((n-1)/4)} binomial(n-3*k-1,k) * a(k).
%F A352043 G.f. A(x) satisfies: A(x) = 1 + x * A(x^4/(1 - x)) / (1 - x).
%t A352043 a[0] = 1; a[n_] := a[n] = Sum[Binomial[n - 3 k - 1, k] a[k], {k, 0, Floor[(n - 1)/4]}]; Table[a[n], {n, 0, 46}]
%t A352043 nmax = 46; A[_] = 0; Do[A[x_] = 1 + x A[x^4/(1 - x)]/(1 - x) + O[x]^(nmax + 1) // Normal, nmax + 1]; CoefficientList[A[x], x]
%Y A352043 Cf. A119262, A352042.
%K A352043 nonn
%O A352043 0,6
%A A352043 _Ilya Gutkovskiy_, Mar 01 2022