Number of UUU's in all the dispersed Dyck paths of semilength n (i.e., in all Motzkin paths of length n; U=(1,1)).

A191520

Number of UUU's in all the dispersed Dyck paths of semilength n (i.e., in all Motzkin paths of length n; U=(1,1)).

Terms

    a(0) =0a(1) =0a(2) =0a(3) =0a(4) =0a(5) =0a(6) =1a(7) =2a(8) =9a(9) =18a(10) =57a(11) =114a(12) =312a(13) =624a(14) =1578a(15) =3156a(16) =7599a(17) =15198a(18) =35401a(19) =70802a(20) =161052a(21) =322104a(22) =719790a(23) =1439580a(24) =3173090a(25) =6346180a(26) =13836426a(27) =27672852a(28) =59803104a(29) =119606208

External references