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 A365177 #8 Aug 25 2023 09:43:14
%S A365177 1,1,10,201,6220,261465,13925286,898994383,68240292856,5956670911041,
%T A365177 587896878021130,64738492669538391,7869297152389747284,
%U A365177 1046629627952327990545,151192146681811716344878,23573456446401808474471455,3945806733850334447131941616
%N A365177 E.g.f. satisfies A(x) = 1 + x*A(x)^4*exp(x*A(x)^3).
%F A365177 a(n) = n! * Sum_{k=0..n} k^(n-k) * binomial(3*n+k+1,k)/( (3*n+k+1)*(n-k)! ).
%o A365177 (PARI) a(n) = n!*sum(k=0, n, k^(n-k)*binomial(3*n+k+1, k)/((3*n+k+1)*(n-k)!));
%Y A365177 Cf. A364987, A364989, A365175, A365176.
%K A365177 nonn
%O A365177 0,3
%A A365177 _Seiichi Manyama_, Aug 25 2023