Number of Dyck paths of semilength n and height exactly 5.

Terms

a(0) =1a(1) =9a(2) =52a(3) =247a(4) =1053a(5) =4199a(6) =16017a(7) =59224a(8) =214058a(9) =760487a(10) =2665884a(11) =9246276a(12) =31793724a(13) =108548332a(14) =368400045a(15) =1244027317a(16) =4182854728a(17) =14012220027a(18) =46789129817a(19) =155798575851a(20) =517500496981