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 A365726 #15 Sep 24 2024 13:39:06
%S A365726 1,0,0,1,1,0,5,11,6,35,120,136,336,1330,2310,4301,15456,35100,64701,
%T A365726 193662,508921,1023000,2643432,7298984,16196682,38795055,105939288,
%U A365726 254015541,596987183,1575487320,3959803694,9418896773,24081344034,61781452530,150293865540
%N A365726 G.f. satisfies A(x) = 1 + x^3*A(x)^5*(1 + x*A(x)).
%F A365726 a(n) = Sum_{k=0..floor(n/3)} binomial(k,n-3*k) * binomial(n+2*k+1,k) / (n+2*k+1).
%o A365726 (PARI) a(n) = sum(k=0, n\3, binomial(k, n-3*k)*binomial(n+2*k+1, k)/(n+2*k+1));
%Y A365726 Cf. A308616, A365723, A365724, A365725.
%Y A365726 Cf. A365695.
%K A365726 nonn
%O A365726 0,7
%A A365726 _Seiichi Manyama_, Sep 17 2023