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

Terms

a(0) =1a(1) =0a(2) =0a(3) =0a(4) =0a(5) =0a(6) =1a(7) =1a(8) =1a(9) =1a(10) =1a(11) =1a(12) =1a(13) =8a(14) =156a(15) =1213a(16) =5232a(17) =16091a(18) =41834a(19) =100320a(20) =229851a(21) =513699a(22) =1166304a(23) =3068322a(24) =11294356a(25) =54431307a(26) =271824026a(27) =1253186445a(28) =5233138157a(29) =20031588131