Number of Dyck paths of semilength n such that all levels with peaks have exactly the same number of peaks.

A288109

Number of Dyck paths of semilength n such that all levels with peaks have exactly the same number of peaks.

Terms

    a(0) =1a(1) =1a(2) =2a(3) =5a(4) =9a(5) =23a(6) =56a(7) =122a(8) =323a(9) =792a(10) =2060a(11) =5199a(12) =13314a(13) =35171a(14) =94077a(15) =249285a(16) =662901a(17) =1775244a(18) =4806724a(19) =13125887a(20) =36107283a(21) =99863241a(22) =276784435a(23) =768288783a(24) =2143763275a(25) =6037486060a(26) =17171063218a(27) =49187617277a(28) =141512589597a(29) =408293870713

External references