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 A383164 #11 Apr 18 2025 10:10:32
%S A383164 0,0,0,1,18,255,3555,52290,831684,14405580,271688580,5562400800,
%T A383164 123123764808,2933953637472,74953425290016,2044855241694720,
%U A383164 59361121229581440,1827578437315965696,59494057195888597248,2042194772007257103360,73731225467600254686720
%N A383164 Expansion of e.g.f. -log(1 - (exp(2*x) - 1)/2)^3 / 6.
%F A383164 a(n) = Sum{k=3..n} 2^(n-k) * Stirling2(n,k) * |Stirling1(k,3)|.
%F A383164 a(n) ~ sqrt(Pi) * 2^(n - 1/2) * n^(n - 1/2) * log(n)^2 / (exp(n) * log(3)^n). - _Vaclav Kotesovec_, Apr 18 2025
%o A383164 (PARI) a(n) = sum(k=3, n, 2^(n-k)*stirling(n, k, 2)*abs(stirling(k, 3, 1)));
%Y A383164 Column k=3 of A383149.
%Y A383164 Cf. A000399, A383166.
%K A383164 nonn
%O A383164 0,5
%A A383164 _Seiichi Manyama_, Apr 18 2025