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 A365734 #13 Sep 17 2023 10:05:16
%S A365734 1,1,1,1,1,1,2,5,11,21,36,58,94,163,306,599,1170,2229,4140,7596,14002,
%T A365734 26228,49979,96212,185491,356255,681247,1300680,2488500,4782037,
%U A365734 9231306,17875306,34656389,67194497,130263382,252631688,490513867,953923030,1858136173,3624102244
%N A365734 G.f. satisfies A(x) = 1 + x*A(x) / (1 - x^5*A(x)^2).
%F A365734 a(n) = Sum_{k=0..floor(n/5)} binomial(n-4*k-1,k) * binomial(n-3*k+1,n-5*k) / (n-3*k+1).
%o A365734 (PARI) a(n) = sum(k=0, n\5, binomial(n-4*k-1, k)*binomial(n-3*k+1, n-5*k)/(n-3*k+1));
%Y A365734 Cf. A212364, A212385, A365735, A365736.
%Y A365734 Cf. A365732, A365699.
%K A365734 nonn
%O A365734 0,7
%A A365734 _Seiichi Manyama_, Sep 17 2023