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

A287972

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

Terms

    a(0) =1a(1) =1a(2) =2a(3) =5a(4) =14a(5) =42a(6) =132a(7) =429a(8) =1430a(9) =4861a(10) =16794a(11) =58763a(12) =207889a(13) =742192a(14) =2670734a(15) =9676092a(16) =35265848a(17) =129205675a(18) =475578542a(19) =1757747362a(20) =6520738724a(21) =24270689885a(22) =90609301618a(23) =339193083093

External references