Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n and having k UDUD's starting at level 0; here U=(1,1), D=(1,-1) (0<=k<=n-1).

A127153

Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n and having k UDUD's starting at level 0; here U=(1,1), D=(1,-1) (0<=k<=n-1).

Terms

    a(0) =1a(1) =1a(2) =1a(3) =1a(4) =4a(5) =0a(6) =1a(7) =11a(8) =2a(9) =0a(10) =1a(11) =33a(12) =6a(13) =2a(14) =0a(15) =1a(16) =105a(17) =17a(18) =7a(19) =2a(20) =0a(21) =1a(22) =343a(23) =56a(24) =19a(25) =8a(26) =2a(27) =0a(28) =1a(29) =1148

External references