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 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