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 A365727 #10 Sep 17 2023 10:00:04
%S A365727 1,0,0,0,1,1,0,0,1,3,2,0,1,6,10,5,1,10,30,35,15,15,70,140,127,63,140,
%T A365727 420,631,490,384,1050,2311,2808,2136,2739,6931,12057,12672,11055,
%U A365727 19449,42097,61050,60060,66353,131054,241670,306735,308881,428792,835614,1337765
%N A365727 G.f. satisfies A(x) = 1 + x^4*A(x)*(1 + x*A(x)).
%F A365727 a(n) = Sum_{k=0..floor(n/4)} binomial(k,n-4*k) * binomial(n-3*k+1,k) / (n-3*k+1).
%o A365727 (PARI) a(n) = sum(k=0, n\4, binomial(k, n-4*k)*binomial(n-3*k+1, k)/(n-3*k+1));
%Y A365727 Cf. A365728, A365729, A365730, A365731.
%Y A365727 Cf. A023427.
%K A365727 nonn
%O A365727 0,10
%A A365727 _Seiichi Manyama_, Sep 17 2023