%I A082133
%S A082133 0,1,4,15,56,205,732,2555,8752,29529,98420,324775,1062888,3454373,
%T A082133 11160268,35872275,114791264,365897137,1162261476,3680494655,
%U A082133 11622614680,36611236221,115063885244,360882185515,1129718145936
%N A082133 Expansion of xexp(2x)cosh(x).
%C A082133 Binomial transform of A057711. 2nd binomial transform of (0,1,0,3,0,5,
               0,7,....)
%F A082133 a(n)=n(1^(n-1)+3^(n-1))/2 E.g.f. xexp(2x)cosh(x)
%p A082133 with (combinat):seq(sum(sum(stirling2(n, j),j=1..3), k=1..n), n=0..24); 
               - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 04 2007
%Y A082133 Cf. A082134, A082135, A082136.
%Y A082133 Sequence in context: A064813 A009940 A081163 this_sequence A060111 A077824 
               A010905
%Y A082133 Adjacent sequences: A082130 A082131 A082132 this_sequence A082134 A082135 
               A082136
%K A082133 easy,nonn
%O A082133 0,3
%A A082133 Paul Barry (pbarry(AT)wit.ie), Apr 06 2003