Number T(n,k) of Dyck paths of semilength n having exactly k (possibly overlapping) occurrences of the consecutive steps UDUUUDDDUD (with U=(1,1), D=(1,-1)); triangle T(n,k), n>=0, 0<=k<=max(0,floor((n-1)/4)), read by rows.
A243881
Number T(n,k) of Dyck paths of semilength n having exactly k (possibly overlapping) occurrences of the consecutive steps UDUUUDDDUD (with U=(1,1), D=(1,-1)); triangle T(n,k), n>=0, 0<=k<=max(0,floor((n-1)/4)), read by rows.
Terms
- a(0) =1a(1) =1a(2) =2a(3) =5a(4) =14a(5) =41a(6) =1a(7) =129a(8) =3a(9) =419a(10) =10a(11) =1395a(12) =35a(13) =4737a(14) =124a(15) =1a(16) =16338a(17) =454a(18) =4a(19) =57086a(20) =1684a(21) =16a(22) =201642a(23) =6305a(24) =65a(25) =718855a(26) =23781a(27) =263a(28) =1a(29) =2583149
External references
- oeis: A243881