A007824(n)/16.

Terms

a(0) =1a(1) =2a(2) =5a(3) =14a(4) =45a(5) =186a(6) =945a(7) =5778a(8) =44037a(9) =403470a(10) =4344877a(11) =56072378a(12) =793804721a(13) =12734185106a(14) =229632768005