Number of Dyck paths with n nodes and altitude 4.

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =1a(5) =8a(6) =32a(7) =114a(8) =376a(9) =1177a(10) =3549a(11) =10406a(12) =29861a(13) =84249a(14) =234502a(15) =645625a(16) =1761765a(17) =4772534a(18) =12851261a(19) =34434561a(20) =91890118a(21) =244385617a(22) =648139821a(23) =1714976054a(24) =4529163125a(25) =11942440233a(26) =31448759302a(27) =82727323369a(28) =217426319541a(29) =571033273142