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

A191519

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

Terms

    a(0) =1a(1) =1a(2) =2a(3) =3a(4) =6a(5) =10a(6) =19a(7) =33a(8) =62a(9) =110a(10) =205a(11) =368a(12) =683a(13) =1235a(14) =2286a(15) =4153a(16) =7674a(17) =13986a(18) =25813a(19) =47150a(20) =86949a(21) =159077a(22) =293176a(23) =537014a(24) =989267a(25) =1813659a(26) =3339940a(27) =6127355a(28) =11280954a(29) =20706414

External references