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

A166286

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

Terms

    a(0) =1a(1) =1a(2) =2a(3) =3a(4) =5a(5) =9a(6) =17a(7) =34a(8) =70a(9) =147a(10) =313a(11) =673a(12) =1459a(13) =3185a(14) =6995a(15) =15445a(16) =34265a(17) =76342a(18) =170744a(19) =383214a(20) =862814a(21) =1948299a(22) =4411167a(23) =10011973a(24) =22775773a(25) =51920833a(26) =118593423a(27) =271376295a(28) =622047011a(29) =1428128025

External references