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 A371562 #36 Apr 13 2024 14:40:17
%S A371562 1,2,-2,30,-166,1514,-12474,114006,-1050830,10005138,-96772786,
%T A371562 951500686,-9469982966,95267209850,-966979784554,9891522355270,
%U A371562 -101866781649310,1055294818173474,-10989809960251490,114983445265899774,-1208092406024272710
%N A371562 G.f. A(x) satisfies A(x) = 1 + x/A(x)^3 * (1 + A(x)^5).
%F A371562 a(n) = (-1)^(n-1) * (1/n) * Sum_{k=0..n} binomial(n,k) * binomial(4*n-5*k-2,n-1) for n > 0.
%o A371562 (PARI) a(n) = if(n==0, 1, (-1)^(n-1)*sum(k=0, n, binomial(n, k)*binomial(4*n-5*k-2, n-1))/n);
%Y A371562 Cf. A364395, A364396, A364398, A364399, A364400, A364407.
%K A371562 sign
%O A371562 0,2
%A A371562 _Seiichi Manyama_, Apr 13 2024