Number of equivalence classes of Dyck paths of semilength n for the string duu.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =4a(5) =8a(6) =17a(7) =35a(8) =75a(9) =157a(10) =337a(11) =712a(12) =1529a(13) =3248a(14) =6976a(15) =14869a(16) =31937a(17) =68222a(18) =146536a(19) =313487a(20) =673351a(21) =1441999a(22) =3097326a(23) =6637879a(24) =14257734a(25) =30572032a(26) =65666593a(27) =140860379a(28) =302557585a(29) =649202036