Number of Dyck paths of semilength n such that the number of peaks is strongly increasing from lower to higher levels and no positive level is peakless.

A288147

Number of Dyck paths of semilength n such that the number of peaks is strongly increasing from lower to higher levels and no positive level is peakless.

Terms

    a(0) =1a(1) =1a(2) =1a(3) =1a(4) =3a(5) =6a(6) =12a(7) =31a(8) =68a(9) =186a(10) =506a(11) =1299a(12) =3481a(13) =9712a(14) =27692a(15) =79587a(16) =232743a(17) =694896a(18) =2086245a(19) =6248158a(20) =18771510a(21) =57007483a(22) =175149700a(23) =542313513a(24) =1688360997a(25) =5288335561a(26) =16679137617a(27) =52933231538a(28) =168768966207a(29) =539981776609

External references