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

A287973

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

Terms

    a(0) =1a(1) =1a(2) =2a(3) =5a(4) =14a(5) =42a(6) =132a(7) =429a(8) =1430a(9) =4862a(10) =16795a(11) =58784a(12) =207987a(13) =742760a(14) =2673592a(15) =9690220a(16) =35333404a(17) =129522165a(18) =477035494a(19) =1764359882a(20) =6550391672a(21) =24402303601a(22) =91188289504a(23) =341720434791

External references