Number of dispersed Dyck paths of length n (i.e., Motzkin paths of length n with no (1,0) steps at positive heights) with no valleys at level 0.

A191388

Number of dispersed Dyck paths of length n (i.e., Motzkin paths of length n with no (1,0) steps at positive heights) with no valleys at level 0.

Terms

    a(0) =1a(1) =1a(2) =2a(3) =3a(4) =5a(5) =8a(6) =14a(7) =23a(8) =41a(9) =69a(10) =125a(11) =214a(12) =393a(13) =682a(14) =1267a(15) =2223a(16) =4171a(17) =7385a(18) =13976a(19) =24935a(20) =47544a(21) =85377a(22) =163863a(23) =295900a(24) =571216a(25) =1036471a(26) =2011130a(27) =3664548a(28) =7143068a(29) =13063637

External references