Number of Dyck paths of semilength n with no UUU's and no DDD's and having no UUDUDD's starting at level 0 (U=(1,1), D=(1,-1)).

A166296

Number of Dyck paths of semilength n with no UUU's and no DDD's and having no UUDUDD's starting at level 0 (U=(1,1), D=(1,-1)).

Terms

    a(0) =1a(1) =1a(2) =2a(3) =3a(4) =6a(5) =12a(6) =26a(7) =57a(8) =128a(9) =291a(10) =670a(11) =1558a(12) =3655a(13) =8639a(14) =20554a(15) =49185a(16) =118301a(17) =285840a(18) =693480a(19) =1688683a(20) =4125882a(21) =10111393a(22) =24849532a(23) =61226546a(24) =151212789a(25) =374271925a(26) =928254590a(27) =2306569185a(28) =5741561804a(29) =14315544330

External references