Number T(n,k) of Dyck paths of semilength n with exactly k (possibly overlapping) occurrences of some of the consecutive patterns of Dyck paths of semilength 3; triangle T(n,k), n>=0, 0<=k<=max(0,n-2), read by rows.

A243998

Number T(n,k) of Dyck paths of semilength n with exactly k (possibly overlapping) occurrences of some of the consecutive patterns of Dyck paths of semilength 3; triangle T(n,k), n>=0, 0<=k<=max(0,n-2), read by rows.

Terms

    a(0) =1a(1) =1a(2) =2a(3) =0a(4) =5a(5) =1a(6) =11a(7) =2a(8) =1a(9) =33a(10) =7a(11) =1a(12) =4a(13) =90a(14) =30a(15) =7a(16) =1a(17) =11a(18) =245a(19) =142a(20) =24a(21) =6a(22) =1a(23) =29a(24) =680a(25) =570a(26) =121a(27) =24a(28) =5a(29) =1

External references