A036595 Number of binary rooted trees with n nodes and height exactly 6.

0, 0, 0, 0, 0, 0, 1, 5, 14, 32, 66, 127, 231, 405, 682, 1118, 1771, 2747, 4133, 6104, 8771, 12389, 17060, 23101, 30527, 39650, 50279, 62624, 76150, 90879, 105859, 120914, 134719, 147040, 156412, 162812, 164968, 163377, 157278, 147816