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 A366176 #9 Oct 03 2023 08:59:35 %S A366176 1,1,5,27,161,1030,6921,48190,344669,2517303,18695908,140771477, %T A366176 1072130229,8244820518,63931532190,499308229278,3924204043333, %U A366176 31012883225891,246304580923299,1964794017165157,15735626383151876,126476316316459089,1019883740031357941 %N A366176 G.f. A(x) satisfies A(x) = 1 + x*A(x)^3/(1 - x)^2. %F A366176 a(n) = Sum_{k=0..n} binomial(n+k-1,n-k) * binomial(3*k,k)/(2*k+1). %o A366176 (PARI) a(n) = sum(k=0, n, binomial(n+k-1, n-k)*binomial(3*k, k)/(2*k+1)); %Y A366176 Partial sums give A199475. %Y A366176 Cf. A001764, A213282, A307678. %K A366176 nonn %O A366176 0,3 %A A366176 _Seiichi Manyama_, Oct 03 2023