Triangle read by rows: T(n,k) is the number of dispersed Dyck paths of length n (i.e., Motzkin paths of length n with no (1,0)-steps at positive heights) having k DHU's (here U=(1,1), H=(1,0), and D=(1,-1)).

A191397

Triangle read by rows: T(n,k) is the number of dispersed Dyck paths of length n (i.e., Motzkin paths of length n with no (1,0)-steps at positive heights) having k DHU's (here U=(1,1), H=(1,0), and D=(1,-1)).

Terms

    a(0) =1a(1) =1a(2) =2a(3) =3a(4) =6a(5) =9a(6) =1a(7) =18a(8) =2a(9) =28a(10) =7a(11) =56a(12) =14a(13) =89a(14) =37a(15) =179a(16) =72a(17) =1a(18) =289a(19) =170a(20) =3a(21) =585a(22) =326a(23) =13a(24) =956a(25) =726a(26) =34a(27) =1948a(28) =1380a(29) =104

External references