A096344 Number of 1's in binary expansion(sum of digits(n^n)).

1, 1, 2, 3, 3, 4, 3, 3, 4, 1, 3, 4, 4, 3, 4, 3, 3, 4, 7, 5, 5, 3, 3, 4, 5, 4, 6, 4, 5, 6, 4, 5, 6, 5, 2, 4, 5, 3, 4, 3, 4, 6, 5, 4, 4, 3, 6, 5, 5, 5, 6, 5, 6, 6, 6, 5, 4, 5, 6, 6, 5, 5, 8, 7, 5, 4, 4, 5, 7, 3, 7, 5, 5, 7, 8, 4, 5, 8, 6, 5, 6, 7, 5, 7, 4, 3, 8, 6, 4, 4, 5, 5, 4, 5, 7, 8, 6, 6, 5, 1, 3, 6, 5, 7, 8