A032010 Number of rooted planar trees where any 2 subtrees extending from same node have a different number of nodes.

1, 1, 1, 2, 4, 9, 23, 62, 164, 449, 1263, 3636, 10500, 30859, 90895, 271178, 810918, 2447715, 7406439, 22589066, 68974940, 211989119, 652180385, 2016872920, 6242930834, 19412141273, 60390977831, 188627507266