%I A109747
%S A109747 1,2,3,3,2,3,5,4,5,55,212,201,2381,15350,35183,145359,1821438,8117231,
               521487,
%T A109747 278996548,2261959961,7554900397,34727188796,690775844605,4901767330647,
%U A109747 10921820177234,179314430713387,2668801066419061,18150518618843778
%V A109747 1,2,3,3,2,3,5,-4,5,55,-212,201,2381,-15350,35183,145359,-1821438,8117231,
               -521487,
%W A109747 -278996548,2261959961,-7554900397,-34727188796,690775844605,-4901767330647,
%X A109747 10921820177234,179314430713387,-2668801066419061,18150518618843778
%N A109747 E.g.f.: exp(-exp(-x)+1+x).
%C A109747 Equals double binomial transform of A014182 [From Gary W. Adamson (qntmpkt(AT)yahoo.com), 
               Dec 31 2008]
%F A109747 a(n) = Sum_{k=0..n} (-1)^(n-k)*Stirling2(n, k)*A000522(k).
%p A109747 G:=exp(-exp(-x)+1+x): Gser:=series(G,x=0,32): seq(n!*coeff(Gser,x,n),
               n=0..28); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 10 2006
%Y A109747 Cf. A080094.
%Y A109747 A014182 [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Dec 31 2008]
%Y A109747 Sequence in context: A107918 A002963 A046677 this_sequence A105612 A141744 
               A089783
%Y A109747 Adjacent sequences: A109744 A109745 A109746 this_sequence A109748 A109749 
               A109750
%K A109747 easy,sign
%O A109747 0,2
%A A109747 Franklin T. Adams-Watters and Vladeta Jovovic (vladeta(AT)eunet.rs), 
               Aug 10 2005
%E A109747 More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 10 2006