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 A365016 #12 Aug 19 2023 06:28:33
%S A365016 1,1,9,160,4345,159796,7434199,418864426,27732988609,2110729489048,
%T A365016 181587635465671,17426825999144926,1845855944285411425,
%U A365016 213900244312057975348,26919356609721984494311,3656322063766897691641666,533110345129065969043548289
%N A365016 E.g.f. satisfies A(x) = exp( x*A(x)^3/(1 - x * A(x)^2) ).
%H A365016 Michael De Vlieger, <a href="/A365016/b365016.txt">Table of n, a(n) for n = 0..325</a>
%F A365016 a(n) = n! * Sum_{k=0..n} (2*n+k+1)^(k-1) * binomial(n-1,n-k)/k!.
%t A365016 Array[#!*Sum[ (2 # + k + 1)^(k - 1)*Binomial[# - 1, # - k]/k!, {k, 0, #}] &, 17, 0] (* _Michael De Vlieger_, Aug 18 2023 *)
%o A365016 (PARI) a(n) = n!*sum(k=0, n, (2*n+k+1)^(k-1)*binomial(n-1, n-k)/k!);
%Y A365016 Cf. A361066, A361094, A365015.
%Y A365016 Cf. A212722, A361093, A361143, A365012.
%K A365016 nonn
%O A365016 0,3
%A A365016 _Seiichi Manyama_, Aug 15 2023