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 A383205 #7 Apr 19 2025 10:03:29
%S A383205 0,0,0,1,16,190,2080,22491,247072,2792476,32659840,396255541,
%T A383205 4991365808,65268062938,885442472096,12451577262671,181326192307264,
%U A383205 2731564737248696,42522062246582784,683301050932028777,11322975536640636240,193300021823406703990,3396381539718451143200
%N A383205 Expansion of e.g.f. f(x)^3 * exp(f(x)) / 6, where f(x) = (exp(2*x) - 1)/2.
%F A383205 a(n) = Sum_{k=3..n} 2^(n-k) * binomial(k,3) * Stirling2(n,k).
%o A383205 (PARI) a(n) = sum(k=3, n, 2^(n-k)*binomial(k, 3)*stirling(n, k, 2));
%Y A383205 Column k=3 of A154602.
%K A383205 nonn
%O A383205 0,5
%A A383205 _Seiichi Manyama_, Apr 19 2025