Number of binary rooted trees with n nodes and height exactly 9.

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =0a(5) =0a(6) =0a(7) =0a(8) =0a(9) =1a(10) =8a(11) =35a(12) =117a(13) =338a(14) =891a(15) =2208a(16) =5240a(17) =12051a(18) =27060a(19) =59630a(20) =129389a(21) =277146a(22) =586953a(23) =1230801a(24) =2557766a(25) =5272384a(26) =10786683a(27) =21916364a(28) =44242295a(29) =88774290