A165317 a(n) = the number of digits in the binary representation of n that each do not precede or follow a similarly valued digit.

1, 2, 0, 1, 3, 1, 0, 1, 2, 4, 2, 0, 2, 1, 0, 1, 2, 3, 1, 3, 5, 3, 2, 0, 1, 3, 1, 0, 2, 1, 0, 1, 2, 3, 1, 2, 4, 2, 1, 3, 4, 6, 4, 2, 4, 3, 2, 0, 1, 2, 0, 2, 4, 2, 1, 0, 1, 3, 1, 0, 2, 1, 0, 1, 2, 3, 1, 2, 4, 2, 1, 2, 3, 5, 3, 1, 3, 2, 1, 3, 4, 5, 3, 5, 7, 5, 4, 2, 3, 5, 3, 2, 4, 3, 2, 0, 1, 2, 0, 1, 3, 1, 0, 2, 3