Number of Dyck n-paths all of whose ascents have lengths equal to 1 (mod 9).

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =1a(5) =1a(6) =1a(7) =1a(8) =1a(9) =1a(10) =2a(11) =12a(12) =67a(13) =287a(14) =1002a(15) =3004a(16) =8009a(17) =19449a(18) =43759a(19) =92380a(20) =184787a(21) =353137a(22) =650497a(23) =1170632a(24) =2110021a(25) =3977161a(26) =8271836a(27) =19536661a(28) =51111062a(29) =140210129