Number T(n,k) of Dyck paths of semilength n having exactly k (possibly overlapping) occurrences of the consecutive steps UUDDUDUUUUDUDDDDUUDD (with U=(1,1), D=(1,-1)); triangle T(n,k), n>=0, 0<=k<=max(0,floor((n-2)/8)), read by rows.
A242450
Number T(n,k) of Dyck paths of semilength n having exactly k (possibly overlapping) occurrences of the consecutive steps UUDDUDUUUUDUDDDDUUDD (with U=(1,1), D=(1,-1)); triangle T(n,k), n>=0, 0<=k<=max(0,floor((n-2)/8)), read by rows.
Terms
- a(0) =1a(1) =1a(2) =2a(3) =5a(4) =14a(5) =42a(6) =132a(7) =429a(8) =1430a(9) =4862a(10) =16795a(11) =1a(12) =58783a(13) =3a(14) =208002a(15) =10a(16) =742865a(17) =35a(18) =2674314a(19) =126a(20) =9694383a(21) =462a(22) =35355954a(23) =1716a(24) =129638355a(25) =6435a(26) =477614391a(27) =24308a(28) =1a(29) =1767170815
External references
- oeis: A242450