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 A365226 #10 Aug 27 2023 04:38:27
%S A365226 1,1,4,20,107,577,3010,14429,56640,98020,-1297568,-21901213,
%T A365226 -232421636,-2081040375,-16862259358,-126674303915,-887771735205,
%U A365226 -5768588276072,-33971373570320,-170393703586467,-576946353425125,1101490168511323,47657979846612682
%N A365226 G.f. satisfies A(x) = 1 + x*A(x)^5 / (1 + x*A(x)^6).
%F A365226 a(n) = Sum_{k=0..n} (-1)^(n-k) * binomial(6*n-k+1,k) * binomial(n-1,n-k)/(6*n-k+1).
%o A365226 (PARI) a(n) = sum(k=0, n, (-1)^(n-k)*binomial(6*n-k+1, k)*binomial(n-1, n-k)/(6*n-k+1));
%Y A365226 Cf. A002293, A271469, A349361, A364759, A364866, A365225.
%Y A365226 Cf. A365218.
%K A365226 sign
%O A365226 0,3
%A A365226 _Seiichi Manyama_, Aug 27 2023