4053140domain: NAppears in sequencesNumber of Dyck paths with no UUU's and no DDD's, of semilength 2n and having exactly n (possibly overlapping) occurrences of the consecutive pattern UDUD, where U=(1,1) and D=(1,-1).at n=12A333156a(n) = numerator(b(n)), where b(n) = b(n-1)/(1 + b(n-2)) with b(0) = 0 and b(1) = 1.at n=13A375742