a(n) = Catalan(n+1)*Bell(n).

Terms

a(0) =1a(1) =2a(2) =10a(3) =70a(4) =630a(5) =6864a(6) =87087a(7) =1254110a(8) =20128680a(9) =355185012a(10) =6817706350a(11) =141150702840