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 A369783 #8 Feb 01 2024 08:29:46 %S A369783 1,3,21,192,2154,28434,429213,7261788,135698268,2769463335, %T A369783 61186736415,1452889463034,36857766745749,993941679586098, %U A369783 28370018078000985,853903169641805925,27014392815958815969,895723118730738795837,31048284069527339602902 %N A369783 Expansion of e.g.f. exp( exp(3*(exp(x)-1))-1 ). %F A369783 a(n) = Sum_{k=0..n} 3^k * Stirling2(n,k) * Bell(k) = Sum_{k=0..n} Stirling2(n,k) * A247452(k). %o A369783 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(exp(3*(exp(x)-1))-1))) %Y A369783 Cf. A000258, A346417. %Y A369783 Cf. A000110, A247452. %K A369783 nonn %O A369783 0,2 %A A369783 _Seiichi Manyama_, Feb 01 2024