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 A365736 #12 Sep 17 2023 10:05:08
%S A365736 1,1,1,1,1,1,2,7,22,57,127,254,478,903,1838,4148,10012,24417,58019,
%T A365736 132919,295699,649742,1437719,3247500,7504925,17607055,41465646,
%U A365736 97197400,226053017,522505492,1205674911,2790322418,6495170018,15209566913,35761582618
%N A365736 G.f. satisfies A(x) = 1 + x*A(x) / (1 - x^5*A(x)^4).
%F A365736 a(n) = Sum_{k=0..floor(n/5)} binomial(n-4*k-1,k) * binomial(n-k+1,n-5*k) / (n-k+1).
%o A365736 (PARI) a(n) = sum(k=0, n\5, binomial(n-4*k-1, k)*binomial(n-k+1, n-5*k)/(n-k+1));
%Y A365736 Cf. A212364, A212385, A365734, A365735.
%Y A365736 Cf. A365701.
%K A365736 nonn
%O A365736 0,7
%A A365736 _Seiichi Manyama_, Sep 17 2023