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 A360889 #7 Feb 25 2023 08:40:58
%S A360889 1,1,1,1,3,6,10,16,37,85,175,365,865,2090,4826,11447,28797,73086,
%T A360889 183422,471462,1249792,3329832,8898534,24244771,67210802,187336493,
%U A360889 526399475,1501301887,4329346255,12565028776,36807317140,109047854266,325773015735,980062229742
%N A360889 G.f. satisfies A(x) = 1 + x * (1 + x^3)^2 * A(x * (1 + x^3)).
%F A360889 a(0) = 1; a(n) = Sum_{k=0..floor(n-1)/3} binomial(n+1-3*k,k) * a(n-1-3*k).
%o A360889 (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=0, (i-1)\3, binomial(i+1-3*j, j)*v[i-3*j])); v;
%Y A360889 Cf. A360887, A360888.
%K A360889 nonn
%O A360889 0,5
%A A360889 _Seiichi Manyama_, Feb 25 2023