Number of n-node rooted trees of height 8.

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =0a(5) =0a(6) =0a(7) =0a(8) =1a(9) =8a(10) =43a(11) =188a(12) =728a(13) =2593a(14) =8706a(15) =27961a(16) =86802a(17) =262348a(18) =776126a(19) =2256418a(20) =6466614a(21) =18311915a(22) =51334232a(23) =142673720a(24) =393611872a(25) =1078955836a(26) =2941029334a(27) =7977065816a(28) =21541492856a(29) =57942770689