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

Terms

a(0) =1a(1) =0a(2) =0a(3) =0a(4) =0a(5) =0a(6) =0a(7) =1a(8) =1a(9) =1a(10) =1a(11) =1a(12) =1a(13) =1a(14) =1a(15) =9a(16) =234a(17) =2350a(18) =12567a(19) =44971a(20) =127475a(21) =320491a(22) =756677a(23) =1720610a(24) =3821223a(25) =8436508a(26) =19793620a(27) =59810128a(28) =268048977a(29) =1458971589