Number of Dyck paths of semilength n such that no positive level has fewer than nine peaks.

Terms

a(0) =1a(1) =0a(2) =0a(3) =0a(4) =0a(5) =0a(6) =0a(7) =0a(8) =0a(9) =1a(10) =1a(11) =1a(12) =1a(13) =1a(14) =1a(15) =1a(16) =1a(17) =1a(18) =1a(19) =11a(20) =462a(21) =7217a(22) =57783a(23) =289400a(24) =1043781a(25) =3042593a(26) =7833174a(27) =18821247a(28) =43417043a(29) =97550980