Number of Dyck n-paths all of whose ascents have prime lengths.

Terms

a(0) =1a(1) =0a(2) =1a(3) =1a(4) =2a(5) =6a(6) =8a(7) =29a(8) =50a(9) =141a(10) =327a(11) =771a(12) =2047a(13) =4746a(14) =12644a(15) =30941a(16) =79886a(17) =204885a(18) =522242a(19) =1365056a(20) =3505825a(21) =9185742a(22) =23907116a(23) =62636476a(24) =164624803a(25) =432540010a(26) =1142827935a(27) =3017208675a(28) =7996379870a(29) =21211540268