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 A192550 a(n) = sum(stirling2(n+1,k+1)*k!^2,k=0..n). 1

%I #9 Jan 03 2013 03:36:52

%S 1,2,8,68,1052,25772,915308,44417228,2822059052,227292363212,

%T 22626053864108,2727566236006988,391549961731396652,

%U 65997870405560143052,12906384138105870075308,2898250311530883985046348,740679847516042935202775852

%N a(n) = sum(stirling2(n+1,k+1)*k!^2,k=0..n).

%H Vincenzo Librandi, <a href="/A192550/b192550.txt">Table of n, a(n) for n = 0..41</a>

%F a(n) ~ sqrt(e)*(n!)^2. - _Vaclav Kotesovec_, Jan 02 2013

%t Table[Sum[StirlingS2[n+1,k+1]k!^2,{k,0,n}],{n,0,100}]

%o (Maxima) makelist(sum(stirling2(n+1,k+1)*k!^2,k,0,n),n,0,12);

%K nonn

%O 0,2

%A _Emanuele Munarini_, Jul 04 2011

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Last modified May 20 01:45 EDT 2024. Contains 372703 sequences. (Running on oeis4.)