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 A360890 #14 Feb 26 2023 06:56:00 %S A360890 1,1,1,1,2,4,7,12,25,55,115,245,564,1331,3103,7407,18388,46198,116503, %T A360890 299966,789426,2095941,5616114,15299205,42255533,117689096,331204936, %U A360890 944052610,2718150015,7891518587,23137661717,68524545717,204645635263,616098009473 %N A360890 G.f. satisfies A(x) = 1 + x/(1 - x^3) * A(x/(1 - x^3)). %H A360890 Seiichi Manyama, <a href="/A360890/b360890.txt">Table of n, a(n) for n = 0..1000</a> %F A360890 a(0) = 1; a(n) = Sum_{k=0..floor((n-1)/3)} binomial(n-1-2*k,k) * a(n-1-3*k). %o A360890 (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-1-2*j, j)*v[i-3*j])); v; %Y A360890 Cf. A000110, A172383, A360891. %Y A360890 Cf. A360898. %K A360890 nonn %O A360890 0,5 %A A360890 _Seiichi Manyama_, Feb 25 2023