Number of ternary 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) =13a(8) =32a(9) =74a(10) =155a(11) =316a(12) =612a(13) =1160a(14) =2126a(15) =3829a(16) =6737a(17) =11672a(18) =19856a(19) =33332a(20) =55112a(21) =90014a(22) =145105a(23) =231200a(24) =363985a(25) =566692a(26) =872274a(27) =1328167a(28) =2000224a(29) =2980316