Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n having k peaks in their peak plateaux (0<=k<=n-1). A peak plateau is a run of consecutive peaks that is preceded by an upstep and followed by a down step; a peak consists of an upstep followed by a downstep.
A143953
Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n having k peaks in their peak plateaux (0<=k<=n-1). A peak plateau is a run of consecutive peaks that is preceded by an upstep and followed by a down step; a peak consists of an upstep followed by a downstep.
Terms
- a(0) =1a(1) =1a(2) =1a(3) =1a(4) =1a(5) =3a(6) =1a(7) =1a(8) =8a(9) =4a(10) =1a(11) =1a(12) =21a(13) =14a(14) =5a(15) =1a(16) =1a(17) =55a(18) =48a(19) =21a(20) =6a(21) =1a(22) =1a(23) =144a(24) =162a(25) =85a(26) =29a(27) =7a(28) =1a(29) =1
External references
- oeis: A143953