Number of Dyck paths of semilength n having exactly one occurrence of the consecutive pattern UDDU.

A244235

Number of Dyck paths of semilength n having exactly one occurrence of the consecutive pattern UDDU.

Terms

    a(0) =0a(1) =0a(2) =0a(3) =1a(4) =5a(5) =17a(6) =54a(7) =177a(8) =594a(9) =1997a(10) =6698a(11) =22487a(12) =75701a(13) =255455a(14) =863576a(15) =2923806a(16) =9913448a(17) =33658109a(18) =114417190a(19) =389385699a(20) =1326522885a(21) =4523352061a(22) =15437800028a(23) =52730424194a(24) =180244620903a(25) =616546133055

External references