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 A360892 #13 Feb 26 2023 06:55:57
%S A360892 1,1,1,1,3,6,10,18,42,94,193,428,1036,2470,5779,14192,36176,91649,
%T A360892 233617,613978,1641492,4396393,11922501,32969768,92080274,258774392,
%U A360892 736441673,2123145058,6168831095,18067587851,53493963264,159884523503,481343585105,1461055679181
%N A360892 G.f. satisfies A(x) = 1 + x/(1 - x^3)^2 * A(x/(1 - x^3)).
%H A360892 Seiichi Manyama, <a href="/A360892/b360892.txt">Table of n, a(n) for n = 0..1000</a>
%F A360892 a(0) = 1; a(n) = Sum_{k=0..floor((n-1)/3)} binomial(n-2*k,k) * a(n-1-3*k).
%o A360892 (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-2*j, j)*v[i-3*j])); v;
%Y A360892 Cf. A040027, A352864, A360893.
%Y A360892 Cf. A360890, A360900.
%K A360892 nonn
%O A360892 0,5
%A A360892 _Seiichi Manyama_, Feb 25 2023