Triangle T(n,k), n>=0, 0<=k<=C(n,2), read by rows: T(n,k) = number of k-length chains in the poset of Dyck paths of semilength n ordered by inclusion.

A193629

Triangle T(n,k), n>=0, 0<=k<=C(n,2), read by rows: T(n,k) = number of k-length chains in the poset of Dyck paths of semilength n ordered by inclusion.

Terms

    a(0) =1a(1) =1a(2) =2a(3) =1a(4) =5a(5) =9a(6) =7a(7) =2a(8) =14a(9) =70a(10) =176a(11) =249a(12) =202a(13) =88a(14) =16a(15) =42a(16) =552a(17) =3573a(18) =13609a(19) =33260a(20) =54430a(21) =60517a(22) =45248a(23) =21824a(24) =6144a(25) =768a(26) =132a(27) =4587a(28) =72490a(29) =653521

External references