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 A367163 #9 Nov 07 2023 08:23:44 %S A367163 1,1,9,160,4367,161796,7592593,431826760,28875060411,2220199609420, %T A367163 193010401410437,18720726373805952,2004328775014537111, %U A367163 234797380878372574276,29873926565253226992921,4102473564838214815027576,604804589755948599369229811 %N A367163 E.g.f. satisfies A(x) = 1 + A(x)^3 * (exp(x*A(x)) - 1). %F A367163 a(n) = Sum_{k=0..n} (n+3*k)!/(n+2*k+1)! * Stirling2(n,k). %o A367163 (PARI) a(n) = sum(k=0, n, (n+3*k)!/(n+2*k+1)!*stirling(n, k, 2)); %Y A367163 Cf. A000272, A052894, A367162. %K A367163 nonn %O A367163 0,3 %A A367163 _Seiichi Manyama_, Nov 07 2023