Number of Dyck n-paths all of whose ascents have lengths equal to 1 (mod 8).

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =1a(5) =1a(6) =1a(7) =1a(8) =1a(9) =2a(10) =11a(11) =56a(12) =221a(13) =716a(14) =2003a(15) =5006a(16) =11441a(17) =24312a(18) =48648a(19) =92721a(20) =170811a(21) =311886a(22) =589590a(23) =1220979a(24) =2864973a(25) =7450852a(26) =20309628a(27) =55305706a(28) =146505451a(29) =373452808