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

Terms

a(0) =1a(1) =0a(2) =0a(3) =0a(4) =0a(5) =0a(6) =0a(7) =0a(8) =1a(9) =1a(10) =1a(11) =1a(12) =1a(13) =1a(14) =1a(15) =1a(16) =1a(17) =10a(18) =335a(19) =4241a(20) =27915a(21) =117971a(22) =373845a(23) =1002089a(24) =2456082a(25) =5725439a(26) =12935530a(27) =28622833a(28) =62588817a(29) =139046970