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 A360888 #8 Feb 25 2023 08:41:02 %S A360888 1,1,1,3,6,11,29,71,179,505,1405,4128,12639,39268,127059,420281, %T A360888 1423787,4955200,17579398,63796635,236161396,890544028,3422553065, %U A360888 13377869976,53184706291,214870633711,881485304157,3671033616614,15507956547021,66429816610908 %N A360888 G.f. satisfies A(x) = 1 + x * (1 + x^2)^2 * A(x * (1 + x^2)). %F A360888 a(0) = 1; a(n) = Sum_{k=0..floor(n-1)/2} binomial(n+1-2*k,k) * a(n-1-2*k). %o A360888 (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=0, (i-1)\2, binomial(i+1-2*j, j)*v[i-2*j])); v; %Y A360888 Cf. A360887, A360889. %Y A360888 Cf. A360885. %K A360888 nonn %O A360888 0,4 %A A360888 _Seiichi Manyama_, Feb 25 2023