A036424 Number of ternary rooted trees with n nodes and height exactly 9.

0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 8, 43, 180, 657, 2175, 6746, 19923, 56766, 157273, 426372, 1135812, 2983032, 7742322, 19896231, 50695676, 128224079, 322221166, 805088502, 2001225122, 4951394924, 12198848726, 29938095480, 73210846964