Ordered forests of k increasing plane unary-binary trees with n nodes.

Terms

a(0) =1a(1) =1a(2) =2a(3) =3a(4) =6a(5) =6a(6) =9a(7) =30a(8) =36a(9) =24a(10) =39a(11) =150a(12) =270a(13) =240a(14) =120a(15) =189a(16) =918a(17) =1980a(18) =2520a(19) =1800a(20) =720a(21) =1107a(22) =6174a(23) =16254a(24) =25200a(25) =25200a(26) =15120a(27) =5040a(28) =7281a(29) =47070