Number of equivalence classes of Dyck paths of semilength n for the consecutive pattern UDUDD, where U=(1,1) and D=(1,-1).

A317639

Number of equivalence classes of Dyck paths of semilength n for the consecutive pattern UDUDD, where U=(1,1) and D=(1,-1).

Terms

    a(0) =1a(1) =1a(2) =1a(3) =2a(4) =4a(5) =6a(6) =10a(7) =19a(8) =32a(9) =54a(10) =98a(11) =170a(12) =292a(13) =520a(14) =909a(15) =1577a(16) =2787a(17) =4883a(18) =8515a(19) =14998a(20) =26299a(21) =45984a(22) =80863a(23) =141844a(24) =248381a(25) =436406a(26) =765649a(27) =1341844a(28) =2356500a(29) =4134749

External references