Total number of left-to-right maxima in Dyck paths of semilength n.

Terms

a(0) =0a(1) =1a(2) =2a(3) =6a(4) =19a(5) =63a(6) =216a(7) =758a(8) =2705a(9) =9777a(10) =35698a(11) =131425a(12) =487201a(13) =1816651a(14) =6807742a(15) =25621878a(16) =96796225a(17) =366902949a(18) =1394851446a(19) =5316835073a(20) =20314772302a(21) =77786795230a(22) =298435201100