Triangle read by rows: T(n,k) is number of Motzkin paths of length n having k UH's, where U=(1,1), H=(1,0) (0<=k<=floor(n/3)).

A114576

Triangle read by rows: T(n,k) is number of Motzkin paths of length n having k UH's, where U=(1,1), H=(1,0) (0<=k<=floor(n/3)).

Terms

    a(0) =1a(1) =1a(2) =2a(3) =3a(4) =1a(5) =6a(6) =3a(7) =11a(8) =10a(9) =23a(10) =26a(11) =2a(12) =47a(13) =70a(14) =10a(15) =102a(16) =176a(17) =45a(18) =221a(19) =449a(20) =160a(21) =5a(22) =493a(23) =1121a(24) =539a(25) =35a(26) =1105a(27) =2817a(28) =1680a(29) =196

External references