Triangle read by rows: T(n,k) is the number of Motzkin paths of length n with k peaks (n>=0, 0<=k<=floor(n/2)).

A097860

Triangle read by rows: T(n,k) is the number of Motzkin paths of length n with k peaks (n>=0, 0<=k<=floor(n/2)).

Terms

    a(0) =1a(1) =1a(2) =1a(3) =1a(4) =2a(5) =2a(6) =4a(7) =4a(8) =1a(9) =8a(10) =10a(11) =3a(12) =17a(13) =24a(14) =9a(15) =1a(16) =37a(17) =58a(18) =28a(19) =4a(20) =82a(21) =143a(22) =81a(23) =16a(24) =1a(25) =185a(26) =354a(27) =231a(28) =60a(29) =5

External references