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 A365735 #11 Sep 17 2023 10:05:12
%S A365735 1,1,1,1,1,1,2,6,16,36,71,128,223,403,796,1706,3775,8252,17485,35986,
%T A365735 72988,148594,307833,650947,1395846,3004732,6443836,13732127,29134320,
%U A365735 61792707,131525272,281463507,605273669,1305373379,2817407854,6077804871,13103021422
%N A365735 G.f. satisfies A(x) = 1 + x*A(x) / (1 - x^5*A(x)^3).
%F A365735 a(n) = Sum_{k=0..floor(n/5)} binomial(n-4*k-1,k) * binomial(n-2*k+1,n-5*k) / (n-2*k+1).
%o A365735 (PARI) a(n) = sum(k=0, n\5, binomial(n-4*k-1, k)*binomial(n-2*k+1, n-5*k)/(n-2*k+1));
%Y A365735 Cf. A212364, A212385, A365734, A365736.
%Y A365735 Cf. A365733, A365700.
%K A365735 nonn
%O A365735 0,7
%A A365735 _Seiichi Manyama_, Sep 17 2023