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 A365728 #10 Sep 17 2023 09:59:56
%S A365728 1,0,0,0,1,1,0,0,2,5,3,0,5,21,28,12,14,84,180,165,97,330,990,1430,
%T A365728 1133,1560,5005,10010,11349,11193,25452,61880,94250,100844,150144,
%U A365728 360468,683162,889542,1100784,2144397,4536839,7158326,9102786,14132580,29078645
%N A365728 G.f. satisfies A(x) = 1 + x^4*A(x)^2*(1 + x*A(x)).
%F A365728 a(n) = Sum_{k=0..floor(n/4)} binomial(k,n-4*k) * binomial(n-2*k+1,k) / (n-2*k+1).
%o A365728 (PARI) a(n) = sum(k=0, n\4, binomial(k, n-4*k)*binomial(n-2*k+1, k)/(n-2*k+1));
%Y A365728 Cf. A365727, A365729, A365730, A365731.
%Y A365728 Cf. A365696.
%K A365728 nonn
%O A365728 0,9
%A A365728 _Seiichi Manyama_, Sep 17 2023