It's not that hard to do by hand, you'll get the sequence
2, 1, 3, 11, 10, ..., 4, 15, 14, ..., 12, 47, 46, ..., 16, 63, 62, ...48, ...
just group as:
(2, 1), (3), (11, 10, ..., 4), (15, 14, ..., 12), (47, 46, ..., 16), (63, 62, ...48), ...
the number of elements in the groups are...