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

Terms

a(0) =1a(1) =2a(2) =10a(3) =75a(4) =728a(5) =8526a(6) =115764a(7) =1776060a(8) =30240210a(9) =563870450a(10) =11397261720a(11) =247700513242