Triangle read by rows: T(n,k) is the number of nondecreasing Dyck paths of semilength n, having k distinct valley levels (n>=1, k>=0).

A121463

Triangle read by rows: T(n,k) is the number of nondecreasing Dyck paths of semilength n, having k distinct valley levels (n>=1, k>=0).

Terms

    a(0) =1a(1) =1a(2) =1a(3) =1a(4) =4a(5) =1a(6) =11a(7) =1a(8) =1a(9) =26a(10) =7a(11) =1a(12) =57a(13) =30a(14) =1a(15) =1a(16) =120a(17) =102a(18) =10a(19) =1a(20) =247a(21) =303a(22) =58a(23) =1a(24) =1a(25) =502a(26) =825a(27) =256a(28) =13a(29) =1

External references