Number T(n,k) of Dyck paths of semilength n having exactly k (possibly overlapping) occurrences of the consecutive steps UDUUDU (with U=(1,1), D=(1,-1)); triangle T(n,k), n>=0, 0<=k<=max(0,floor(n/2)-1), read by rows.

A243366

Number T(n,k) of Dyck paths of semilength n having exactly k (possibly overlapping) occurrences of the consecutive steps UDUUDU (with U=(1,1), D=(1,-1)); triangle T(n,k), n>=0, 0<=k<=max(0,floor(n/2)-1), read by rows.

Terms

    a(0) =1a(1) =1a(2) =2a(3) =5a(4) =13a(5) =1a(6) =37a(7) =5a(8) =112a(9) =19a(10) =1a(11) =352a(12) =70a(13) =7a(14) =1136a(15) =259a(16) =34a(17) =1a(18) =3742a(19) =962a(20) =149a(21) =9a(22) =12529a(23) =3585a(24) =627a(25) =54a(26) =1a(27) =42513a(28) =13399a(29) =2584

External references