Number of Dyck paths with no UUU's and no DDD's of semilength n and having no UUDUDD's (U=(1,1), D=(1,-1)).

A162985

Number of Dyck paths with no UUU's and no DDD's of semilength n and having no UUDUDD's (U=(1,1), D=(1,-1)).

Terms

    a(0) =1a(1) =1a(2) =2a(3) =3a(4) =6a(5) =12a(6) =25a(7) =53a(8) =114a(9) =249a(10) =550a(11) =1227a(12) =2760a(13) =6253a(14) =14256a(15) =32682a(16) =75293a(17) =174224a(18) =404741a(19) =943622a(20) =2207135a(21) =5177817a(22) =12179904a(23) =28722736a(24) =67890481a(25) =160812128a(26) =381671061a(27) =907529504a(28) =2161622683a(29) =5157014539

External references