Number of binary rooted trees with n nodes and height exactly 6.

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =0a(5) =0a(6) =1a(7) =5a(8) =14a(9) =32a(10) =66a(11) =127a(12) =231a(13) =405a(14) =682a(15) =1118a(16) =1771a(17) =2747a(18) =4133a(19) =6104a(20) =8771a(21) =12389a(22) =17060a(23) =23101a(24) =30527a(25) =39650a(26) =50279a(27) =62624a(28) =76150a(29) =90879