A075532 Number of rooted trees where each node at height h has 0 or h+1 children.

1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 3, 2, 2, 3, 4, 4, 5, 6, 5, 7, 9, 10, 11, 11, 16, 21, 19, 19, 28, 32, 38, 38, 46, 53, 68, 77, 82, 95, 112, 134, 157, 172, 198, 232, 270, 312, 363, 411, 471, 548, 642, 733, 850, 964, 1120, 1300, 1502, 1707, 1982