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 A383196 #10 May 03 2025 03:00:05
%S A383196 0,0,0,1,24,520,11880,295960,8090880,242280640,7912262400,
%T A383196 280384720000,10727852889600,441104638374400,19407654326860800,
%U A383196 910140650683264000,45332366929833984000,2390437704451084288000,133060566042200788992000,7797805996570952986624000
%N A383196 Expansion of e.g.f. (1/(1 - 3*x)^(1/3) - 1)^3 / 6.
%F A383196 a(n) = Sum_{k=3..n} 3^(n-k) * |Stirling1(n,k)| * Stirling2(k,3).
%F A383196 a(n) ~ sqrt(Pi/2) * n^(n + 1/2) * 3^(n-1) * exp(-n) * (1 - 3/(Gamma(2/3)*n^(1/3))). - _Vaclav Kotesovec_, May 03 2025
%o A383196 (PARI) a(n) = sum(k=3, n, 3^(n-k)*abs(stirling(n, k, 1))*stirling(k, 3, 2));
%Y A383196 Column k=3 of A371080.
%Y A383196 Cf. A001754, A035119, A143169.
%K A383196 nonn
%O A383196 0,5
%A A383196 _Seiichi Manyama_, Apr 19 2025