Number of Dyck n-paths all of whose ascents and descents have lengths equal to 1 (mod 6).

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =1a(5) =1a(6) =1a(7) =2a(8) =4a(9) =7a(10) =11a(11) =16a(12) =22a(13) =30a(14) =43a(15) =66a(16) =106a(17) =172a(18) =275a(19) =429a(20) =656a(21) =996a(22) =1522a(23) =2360a(24) =3714a(25) =5897a(26) =9376a(27) =14852a(28) =23410a(29) =36788