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 A365185 #9 Aug 25 2023 09:43:57 %S A365185 1,1,6,46,411,3996,41062,438662,4823133,54221518,620404859,7201317005, %T A365185 84590041441,1003656037278,12010861830069,144804336388912, %U A365185 1757106190680819,21443109365898743,263009775111233392,3240530659303505547,40088688455992604594 %N A365185 G.f. satisfies A(x) = 1 + x*A(x)^5*(1 + x*A(x)). %F A365185 a(n) = Sum_{k=0..n} binomial(n+4*k+1,k) * binomial(k,n-k)/(n+4*k+1). %o A365185 (PARI) a(n) = sum(k=0, n, binomial(n+4*k+1, k)*binomial(k, n-k)/(n+4*k+1)); %Y A365185 Cf. A002295, A365184, A365186, A365187, A365188, A365189. %Y A365185 Cf. A364748. %K A365185 nonn %O A365185 0,3 %A A365185 _Seiichi Manyama_, Aug 25 2023