%I A094577
%S A094577 1,3,27,409,9089,272947,10515147,501178937,28773452321,1949230218691,
%T A094577 153281759047387,13806215066685433,1408621900803060705,
%U A094577 161278353358629226675,20555596673435403499083
%N A094577 Sum_{k=0..n} binomial(n,k)*Bell(2*n-k).
%F A094577 Or, Sum_{k=0..n} (-1)^k*binomial(n, k)*Bell(2*n-k+1).
%F A094577 a(n)=exp(-1)*sum_{k>=0}(k(k+1))^n/k! - Benoit Cloitre (benoit7848c(AT)orange.fr), 
               Dec 30 2005
%p A094577 seq(add(binomial(n, k)*(bell(n+k)), k=0..n), n=0..14); - Zerinvary Lajos 
               (zerinvarylajos(AT)yahoo.com), Dec 01 2006
%Y A094577 Cf. A094574, A020556.
%Y A094577 Main diagonal of array in A011971.
%Y A094577 Sequence in context: A138436 A141057 A011781 this_sequence A108525 A136719 
               A159600
%Y A094577 Adjacent sequences: A094574 A094575 A094576 this_sequence A094578 A094579 
               A094580
%K A094577 nonn
%O A094577 0,2
%A A094577 Vladeta Jovovic (vladeta(AT)eunet.rs), May 12 2004