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 A365176 #8 Aug 25 2023 09:43:11 %S A365176 1,1,10,195,5836,236925,12177966,758458603,55528414264,4674208189977, %T A365176 444823048027450,47227542351423951,5534636939373353604, %U A365176 709653811287800826421,98825110036657191358822,14853654178825132742729715,2396666529204491489278153456 %N A365176 E.g.f. satisfies A(x) = 1 + x*A(x)^4*exp(x*A(x)^2). %F A365176 a(n) = n! * Sum_{k=0..n} k^(n-k) * binomial(2*n+2*k+1,k)/( (2*n+2*k+1)*(n-k)! ). %o A365176 (PARI) a(n) = n!*sum(k=0, n, k^(n-k)*binomial(2*n+2*k+1, k)/((2*n+2*k+1)*(n-k)!)); %Y A365176 Cf. A364987, A364989, A365175, A365177. %K A365176 nonn %O A365176 0,3 %A A365176 _Seiichi Manyama_, Aug 25 2023