
COMMENTS

Or the numbers n for which the number of 1's in A039724(n) and the number of 1's in the binary expansion of n have the same parity.
The sequence contains the Moserde Bruijn numbers (A000695) as a subsequence.
The first differences are: 1, 3, 1, 5, 1, 5, 1, 3, 1, 5, 1, 7, 1, 3, 1, 1, 1, 3, 1, 1, 1, 3, 1, 7, 1, 5, 1, 3, 1, 5, 1, 5, 1, 3, 1, 5, 1, 7, 1, 3, 1, 1, 1, 3, 1, 1, 1, 3, 1, 7, 1, 7, 1, 3, 1, 1, 1, 3, 1, 1, 1, 3, 1, 3, 1, 1, 1, 3, 1, 1, 1, 1, 1, 3, 1, 5, 1, 5, 1, 3, 1, 1, 1, 1, 1, 3, 1, ...
Is this sequence unbounded?
