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 A360885 #14 Feb 26 2023 06:56:07 %S A360885 1,1,1,1,2,4,7,16,39,93,246,671,1884,5578,16887,52854,170649,563703, %T A360885 1914366,6649798,23610987,85689987,317054427,1196183592,4595744763, %U A360885 17965311672,71426213637,288535755417,1183807706841,4929801601890,20825803784129,89210585925338 %N A360885 G.f. satisfies A(x) = 1 + x * A(x * (1 + x^2)). %H A360885 Seiichi Manyama, <a href="/A360885/b360885.txt">Table of n, a(n) for n = 0..934</a> %F A360885 a(0) = 1; a(n) = Sum_{k=0..floor((n-1)/3)} binomial(n-1-2*k,k) * a(n-1-2*k). %o A360885 (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-2*j])); v; %Y A360885 Cf. A127782, A360886. %Y A360885 Cf. A360896. %K A360885 nonn %O A360885 0,5 %A A360885 _Seiichi Manyama_, Feb 25 2023