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 A354978 #9 Jun 15 2022 11:52:28
%S A354978 1,2,11,122,2127,50682,1528900,55742458,2381375519,116597648906,
%T A354978 6434959707871,395148541757400,26718459567126420,1972367532078679140,
%U A354978 157829428196155580220,13607551212801836305770,1257482733143493065605455,123990702648155791823769270,12993254659661472801817366105
%N A354978 a(n) = Sum_{k=0..n} Stirling2(k + n, n), row sums of A354977.
%F A354978 a(n) ~ 2^(2*n) * n^(n-1/2) / (sqrt(2*Pi*(1-c)) * exp(n) * c^n * (2-c)^n), where c = -LambertW(-2*exp(-2)) = -A226775. - _Vaclav Kotesovec_, Jun 15 2022
%t A354978 Table[Sum[StirlingS2[k + n, n], {k,0,n}], {n,0,20}] (* _Vaclav Kotesovec_, Jun 15 2022 *)
%Y A354978 Cf. A354977, A048993.
%K A354978 nonn
%O A354978 0,2
%A A354978 _Peter Luschny_, Jun 15 2022