Triangle read by rows: T(n,k) = the number of Dyck paths of semilength n with k UUUU's.

Terms

a(0) =1a(1) =1a(2) =2a(3) =5a(4) =13a(5) =1a(6) =36a(7) =5a(8) =1a(9) =104a(10) =21a(11) =6a(12) =1a(13) =309a(14) =84a(15) =28a(16) =7a(17) =1a(18) =939a(19) =322a(20) =124a(21) =36a(22) =8a(23) =1a(24) =2905a(25) =1206a(26) =522a(27) =174a(28) =45a(29) =9