a(n) = Bell(n)*Motzkin(n-1).

Terms

a(0) =1a(1) =2a(2) =10a(3) =60a(4) =468a(5) =4263a(6) =44727a(7) =525780a(8) =6830481a(9) =96839125a(10) =1484711160a(11) =24430435406a(12) =428792862307