Number of dispersed Dyck paths of length n (i.e., Motzkin paths of length n with no (1,0)-steps at positive heights) having no DHU's (here U=(1,1), H=(1,0), and D=(1,-1)).

A191398

Number of dispersed Dyck paths of length n (i.e., Motzkin paths of length n with no (1,0)-steps at positive heights) having no DHU's (here U=(1,1), H=(1,0), and D=(1,-1)).

Terms

    a(0) =1a(1) =1a(2) =2a(3) =3a(4) =6a(5) =9a(6) =18a(7) =28a(8) =56a(9) =89a(10) =179a(11) =289a(12) =585a(13) =956a(14) =1948a(15) =3214a(16) =6591a(17) =10959a(18) =22609a(19) =37833a(20) =78486a(21) =132037a(22) =275316a(23) =465255a(24) =974659a(25) =1653418a(26) =3478520a(27) =5920569a(28) =12504448a(29) =21344348

External references