%I A116396
%S A116396 1,2,7,25,93,353,1358,5273,20614,81003,319584,1264924,5019743,19963699,
%T A116396 79541181,317406302,1268283199,5073605801,20316709251,81427911966,
%U A116396 326612013623,1310968893954,5265285993860,21158914176719,85071253608611
%N A116396 Expansion of 2/(sqrt(1-4x)(x+2)-x).
%C A116396 Diagonal sums of number triangle A116395.
%F A116396 a(n)=sum{k=0..floor(n/2), (4^(n-k)/2^k)*sum{j=0..k, C(k,j)C(n-k+(j-1)/
               2,n-k)(-1)^(k-j)}}.
%Y A116396 Sequence in context: A024482 A074605 A108081 this_sequence A150453 A150454 
               A150455
%Y A116396 Adjacent sequences: A116393 A116394 A116395 this_sequence A116397 A116398 
               A116399
%K A116396 easy,nonn
%O A116396 0,2
%A A116396 Paul Barry (pbarry(AT)wit.ie), Feb 12 2006