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 A365758 #10 Sep 18 2023 08:59:13
%S A365758 1,1,1,1,1,2,8,29,85,212,481,1081,2627,7100,20328,58023,160430,430391,
%T A365758 1140892,3051678,8334638,23199896,65148939,182781853,510225082,
%U A365758 1419091293,3948954920,11034704856,31001204632,87466532564,247303929326,699572256145
%N A365758 G.f. satisfies A(x) = 1 + x*A(x) / (1 - x^4*A(x)^5).
%F A365758 a(n) = Sum_{k=0..floor(n/4)} binomial(n-3*k-1,k) * binomial(n+k+1,n-4*k) / (n+k+1).
%o A365758 (PARI) a(n) = sum(k=0, n\4, binomial(n-3*k-1, k)*binomial(n+k+1, n-4*k)/(n+k+1));
%Y A365758 Cf. A023427, A112805, A212384, A365245.
%Y A365758 Cf. A215342, A365760.
%K A365758 nonn
%O A365758 0,6
%A A365758 _Seiichi Manyama_, Sep 18 2023