Number T(n,k) of Dyck paths of semilength n such that no positive level has fewer than k peaks; triangle T(n,k), n >= 0, 0 <= k <= n, read by rows.

A288386

Number T(n,k) of Dyck paths of semilength n such that no positive level has fewer than k peaks; triangle T(n,k), n >= 0, 0 <= k <= n, read by rows.

Terms

    a(0) =1a(1) =1a(2) =1a(3) =2a(4) =1a(5) =1a(6) =5a(7) =3a(8) =1a(9) =1a(10) =14a(11) =6a(12) =1a(13) =1a(14) =1a(15) =42a(16) =17a(17) =4a(18) =1a(19) =1a(20) =1a(21) =132a(22) =49a(23) =14a(24) =1a(25) =1a(26) =1a(27) =1a(28) =429a(29) =147

External references