Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n having pyramid weight k.

Terms

a(0) =1a(1) =0a(2) =1a(3) =0a(4) =0a(5) =2a(6) =0a(7) =0a(8) =1a(9) =4a(10) =0a(11) =0a(12) =1a(13) =5a(14) =8a(15) =0a(16) =0a(17) =1a(18) =7a(19) =18a(20) =16a(21) =0a(22) =0a(23) =1a(24) =9a(25) =34a(26) =56a(27) =32a(28) =0a(29) =0