Number of ternary 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) =19a(9) =56a(10) =151a(11) =374a(12) =889a(13) =2032a(14) =4529a(15) =9858a(16) =21075a(17) =44320a(18) =91928a(19) =188288a(20) =381392a(21) =764683a(22) =1519026a(23) =2991601a(24) =5844950a(25) =11334761a(26) =21827329a(27) =41755112a(28) =79376196a(29) =149991258