Triangle read by rows: number of Dyck paths of semilength n having k 3-bridges of a given shape (0<=k<=floor(n/3)). A 3-bridge is a subpath of the form UUUDDD or UUDUDD starting at level 0.
A114499
Triangle read by rows: number of Dyck paths of semilength n having k 3-bridges of a given shape (0<=k<=floor(n/3)). A 3-bridge is a subpath of the form UUUDDD or UUDUDD starting at level 0.
Terms
- a(0) =1a(1) =1a(2) =2a(3) =4a(4) =1a(5) =12a(6) =2a(7) =37a(8) =5a(9) =119a(10) =12a(11) =1a(12) =390a(13) =36a(14) =3a(15) =1307a(16) =114a(17) =9a(18) =4460a(19) =376a(20) =25a(21) =1a(22) =15452a(23) =1262a(24) =78a(25) =4a(26) =54207a(27) =4310a(28) =255a(29) =14
External references
- oeis: A114499