Number of peakless Motzkin paths of length n having no UHD's starting at level 0; here U=(1,1), H=(1,0), and D=(1,-1).

A190171

Number of peakless Motzkin paths of length n having no UHD's starting at level 0; here U=(1,1), H=(1,0), and D=(1,-1).

Terms

    a(0) =1a(1) =1a(2) =1a(3) =1a(4) =2a(5) =5a(6) =12a(7) =27a(8) =60a(9) =135a(10) =309a(11) =717a(12) =1680a(13) =3966a(14) =9423a(15) =22518a(16) =54091a(17) =130540a(18) =316358a(19) =769577a(20) =1878497a(21) =4599623a(22) =11294640a(23) =27807381a(24) =68627188a(25) =169746823a(26) =420732391a(27) =1044830875a(28) =2599352149a(29) =6477571270

External references