Number of Dyck paths of semilength n for which the multiset of ascent lengths and the multiset of descent lengths are the same partition of n.

A179544

Number of Dyck paths of semilength n for which the multiset of ascent lengths and the multiset of descent lengths are the same partition of n.

Terms

    a(0) =1a(1) =1a(2) =2a(3) =5a(4) =12a(5) =30a(6) =80a(7) =219a(8) =614a(9) =1766a(10) =5206a(11) =15646a(12) =47834a(13) =148602a(14) =468110a(15) =1492841a(16) =4814682a(17) =15686156a(18) =51575438

External references