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 A364738 #11 Aug 05 2023 13:12:30 %S A364738 1,1,0,-5,-10,40,245,-26,-4375,-11410,53040,377850,-12320,-7988194, %T A364738 -23011625,106662595,824671575,64095550,-18490968680,-57052839001, %U A364738 254513058375,2098532784575,419490572800,-48205987947600,-157458581103395,666628546612606,5824573247731250 %N A364738 G.f. satisfies A(x) = 1 + x*A(x) / (1 + x*A(x)^5). %F A364738 a(n) = (1/n) * Sum_{k=0..n-1} (-1)^k * binomial(n,k) * binomial(n+4*k,n-1-k) for n > 0. %o A364738 (PARI) a(n) = if(n==0, 1, sum(k=0, n-1, (-1)^k*binomial(n, k)*binomial(n+4*k, n-1-k))/n); %Y A364738 Cf. A364735, A364736, A364737. %Y A364738 Cf. A364734. %K A364738 sign %O A364738 0,4 %A A364738 _Seiichi Manyama_, Aug 05 2023