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 A360891 #10 Feb 25 2023 08:45:18 %S A360891 1,1,1,1,1,2,4,7,11,17,32,66,132,247,463,937,2001,4248,8758,18166, %T A360891 39181,87096,193493,425468,942610,2137196,4930702,11393809,26280211, %U A360891 61089849,144157779,343855549,822430473,1970839418,4757600242,11605042346,28516751351 %N A360891 G.f. satisfies A(x) = 1 + x/(1 - x^4) * A(x/(1 - x^4)). %F A360891 a(0) = 1; a(n) = Sum_{k=0..floor((n-1)/4)} binomial(n-1-3*k,k) * a(n-1-4*k). %o A360891 (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=0, (i-1)\4, binomial(i-1-3*j, j)*v[i-4*j])); v; %Y A360891 Cf. A000110, A172383, A360890. %Y A360891 Cf. A360899. %K A360891 nonn %O A360891 0,6 %A A360891 _Seiichi Manyama_, Feb 25 2023