Number of binary rooted trees with n nodes and height exactly 5.

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =0a(5) =1a(6) =4a(7) =9a(8) =17a(9) =29a(10) =45a(11) =66a(12) =89a(13) =118a(14) =142a(15) =171a(16) =187a(17) =205a(18) =202a(19) =201a(20) =177a(21) =158a(22) =123a(23) =99a(24) =66a(25) =47a(26) =26a(27) =17a(28) =7a(29) =4