Triangle read by rows: T(n,k) is the number of Dyck paths with no UUU's and no DDD's, of semilength n having k peak plateaux (0 <= k <= floor(n/3); U=(1,1), D=(1,-1)).
A166285
Triangle read by rows: T(n,k) is the number of Dyck paths with no UUU's and no DDD's, of semilength n having k peak plateaux (0 <= k <= floor(n/3); U=(1,1), D=(1,-1)).
Terms
- a(0) =1a(1) =1a(2) =2a(3) =3a(4) =1a(5) =5a(6) =3a(7) =9a(8) =8a(9) =17a(10) =19a(11) =1a(12) =34a(13) =43a(14) =5a(15) =70a(16) =97a(17) =18a(18) =147a(19) =219a(20) =56a(21) =1a(22) =313a(23) =498a(24) =160a(25) =7a(26) =673a(27) =1140a(28) =438a(29) =32
External references
- oeis: A166285