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

Terms

a(0) =0a(1) =1a(2) =3a(3) =9a(4) =29a(5) =98a(6) =341a(7) =1210a(8) =4356a(9) =15860a(10) =58276a(11) =215748a(12) =803779a(13) =3010514a(14) =11327360a(15) =42789497a(16) =162200621a(17) =616735888a(18) =2351425517a(19) =8987222524a(20) =34425268864a(21) =132128622038a(22) =508050009119