Triangle read by rows: T(n,k) is the number of Motzkin paths of length n having k low humps. (A hump is an upstep followed by 0 or more flatsteps followed by a downstep. A low hump is a hump that starts at level zero.).
A097887
Triangle read by rows: T(n,k) is the number of Motzkin paths of length n having k low humps. (A hump is an upstep followed by 0 or more flatsteps followed by a downstep. A low hump is a hump that starts at level zero.).
Terms
- a(0) =1a(1) =1a(2) =1a(3) =1a(4) =1a(5) =3a(6) =2a(7) =6a(8) =1a(9) =6a(10) =10a(11) =5a(12) =18a(13) =17a(14) =15a(15) =1a(16) =50a(17) =35a(18) =35a(19) =7a(20) =133a(21) =88a(22) =73a(23) =28a(24) =1a(25) =349a(26) =240a(27) =153a(28) =84a(29) =9
External references
- oeis: A097887