Number of Dyck paths with no UUU's and no DDD's of semilength n and having k UUDUDD's (0<=k<=floor(n/3); U=(1,1), D=(1,-1)).
A162984
Number of Dyck paths with no UUU's and no DDD's of semilength n and having k UUDUDD's (0<=k<=floor(n/3); U=(1,1), D=(1,-1)).
Terms
- a(0) =1a(1) =1a(2) =2a(3) =3a(4) =1a(5) =6a(6) =2a(7) =12a(8) =5a(9) =25a(10) =11a(11) =1a(12) =53a(13) =26a(14) =3a(15) =114a(16) =62a(17) =9a(18) =249a(19) =148a(20) =25a(21) =1a(22) =550a(23) =355a(24) =69a(25) =4a(26) =1227a(27) =853a(28) =189a(29) =14
External references
- oeis: A162984