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%I #3 Mar 30 2012 18:59:08
%S 1,1,2,2,5,9,26,66,199,575,1790,5542,17945,58733,198880,685296,
%T 2429281,8778321,32491940,122503412,471379771,1844669495,7346727298,
%U 29712688698,122054603983,508548201863,2149211636944,9204566602696,39944636660655
%N Diagonal sums of number triangle A110180.
%F a(n)=sum{k=0..floor(n/2), sum{j=0..floor((n-2k)/2), C(n-2k, j)C(n-2k-j, j)k^j}}
%K easy,nonn
%O 0,3
%A _Paul Barry_, Jul 14 2005
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