Binomial transform of A053529.

Terms

a(0) =1a(1) =2a(2) =7a(3) =34a(4) =221a(5) =1666a(6) =15187a(7) =153602a(8) =1770169a(9) =22379266a(10) =312164831a(11) =4685997922a(12) =76668261397