Triangle read by rows: T(n,k) is the number of Motzkin paths of length n having k returns (i.e., down steps hitting the x-axis).

A097612

Triangle read by rows: T(n,k) is the number of Motzkin paths of length n having k returns (i.e., down steps hitting the x-axis).

Terms

    a(0) =1a(1) =1a(2) =1a(3) =1a(4) =1a(5) =3a(6) =1a(7) =7a(8) =1a(9) =1a(10) =15a(11) =5a(12) =1a(13) =32a(14) =17a(15) =1a(16) =1a(17) =70a(18) =49a(19) =7a(20) =1a(21) =159a(22) =131a(23) =31a(24) =1a(25) =1a(26) =375a(27) =339a(28) =111a(29) =9

External references