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 A365182 #10 Aug 25 2023 09:43:18 %S A365182 1,1,5,33,252,2091,18319,166750,1561599,14948572,145615404,1438752770, %T A365182 14384289530,145248707646,1479212551278,15175516654760, %U A365182 156691764630780,1627069871618145,16980373299730925,178006989972532900,1873607777794186000 %N A365182 G.f. satisfies A(x) = 1 + x*A(x)^4*(1 + x*A(x)^3). %F A365182 a(n) = Sum_{k=0..n} binomial(3*n+k+1,k) * binomial(k,n-k)/(3*n+k+1). %o A365182 (PARI) a(n) = sum(k=0, n, binomial(3*n+k+1, k)*binomial(k, n-k)/(3*n+k+1)); %Y A365182 Cf. A002294, A365178, A365180, A365181, A365183. %Y A365182 Cf. A365177. %K A365182 nonn %O A365182 0,3 %A A365182 _Seiichi Manyama_, Aug 25 2023