Triangle read by rows: T(n,k) is the number of dispersed Dyck paths of semilength n (i.e., Motzkin paths of length n with no (1,0)-steps at positive heights) having k UUU's (U=(1,1)).

A191518

Triangle read by rows: T(n,k) is the number of dispersed Dyck paths of semilength n (i.e., Motzkin paths of length n with no (1,0)-steps at positive heights) having k UUU's (U=(1,1)).

Terms

    a(0) =1a(1) =1a(2) =2a(3) =3a(4) =6a(5) =10a(6) =19a(7) =1a(8) =33a(9) =2a(10) =62a(11) =7a(12) =1a(13) =110a(14) =14a(15) =2a(16) =205a(17) =38a(18) =8a(19) =1a(20) =368a(21) =76a(22) =16a(23) =2a(24) =683a(25) =181a(26) =50a(27) =9a(28) =1a(29) =1235

External references