%I A080929
%S A080929 1,3,12,40,120,336,896,2304,5760,14080,33792,79872,186368,430080,983040,
%T A080929 2228224,5013504,11206656,24903680,55050240,121110528,265289728,
%U A080929 578813952,1258291200,2726297600,5888802816,12683575296,27246198784
%N A080929 Sequence associated with a(n)=2*a(n-1)+k(k+2)a(n-2).
%C A080929 The third column of number triangle A080928
%F A080929 G.f.: (1-x)(1-2x+4x^2)/(1-2x)^3
%F A080929 For n>0, a(n) = (n+1)(n+2)2^(n-2). - Ralf Stephan, Jan 16 2004
%F A080929 a(n)=ceil(n*(n+1)*2^(n-3)), n>=1 - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Sep 23 2006
%F A080929 ceil(binomial(n+2,2)*2^(n-1)). - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Nov 01 2006
%p A080929 [seq (ceil(binomial(n+2,2)*2^(n-1)),n=0..27)]; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Nov 01 2006
%Y A080929 Essentially the same as A052482.
%Y A080929 Cf. A082140, A082141, A082138, A082139, A080951, A080929, A057711.
%Y A080929 Sequence in context: A032093 A007993 A052482 this_sequence A061136 A027991 
               A120304
%Y A080929 Adjacent sequences: A080926 A080927 A080928 this_sequence A080930 A080931 
               A080932
%K A080929 easy,nonn
%O A080929 0,2
%A A080929 Paul Barry (pbarry(AT)wit.ie), Feb 26 2003