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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.

A360886 G.f. satisfies A(x) = 1 + x * A(x * (1 + x^3)).

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%I A360886 #11 Feb 25 2023 08:41:19
%S A360886 1,1,1,1,1,2,4,7,11,22,49,104,212,471,1112,2584,6000,14574,36488,
%T A360886 91148,230011,596893,1574433,4171388,11193376,30594229,84527225,
%U A360886 235243027,662702701,1891111335,5443353369,15797764276,46336647188,137245713050,409670144432
%N A360886 G.f. satisfies A(x) = 1 + x * A(x * (1 + x^3)).
%F A360886 a(0) = 1; a(n) = Sum_{k=0..floor((n-1)/4)} binomial(n-1-3*k,k) * a(n-1-3*k).
%o A360886 (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=0, (i-1)\4, binomial(i-1-3*j, j)*v[i-3*j])); v;
%Y A360886 Cf. A127782, A360885.
%Y A360886 Cf. A360897.
%K A360886 nonn
%O A360886 0,6
%A A360886 _Seiichi Manyama_, Feb 25 2023