Number T(n,k) of Dyck paths of semilength n having exactly k (possibly overlapping) occurrences of the consecutive step pattern given by the binary expansion of n, where 1=U=(1,1) and 0=D=(1,-1); triangle T(n,k), n>=0, read by rows.
A243752
Number T(n,k) of Dyck paths of semilength n having exactly k (possibly overlapping) occurrences of the consecutive step pattern given by the binary expansion of n, where 1=U=(1,1) and 0=D=(1,-1); triangle T(n,k), n>=0, read by rows.
Terms
- a(0) =1a(1) =0a(2) =1a(3) =0a(4) =1a(5) =1a(6) =1a(7) =3a(8) =1a(9) =1a(10) =11a(11) =2a(12) =9a(13) =16a(14) =12a(15) =4a(16) =1a(17) =1a(18) =57a(19) =69a(20) =5a(21) =127a(22) =161a(23) =98a(24) =35a(25) =7a(26) =1a(27) =323a(28) =927a(29) =180
External references
- oeis: A243752