61419domain: NAppears in sequencesNumber of n X n binary arrays symmetric under horizontal reflection with all ones connected only in a 0110-1111-0110 pattern in any orientation.at n=12A146918a(n)=sum{k=0..floor(n/2), C(n,2k)*A000108(floor(k/2))}. Inverse binomial transform is aeration of doubled Catalan numbers.at n=16A157021