1. ## Information about a series

Hi all,
And Happy New year

Does anyone know if the following pattern has a name and where i can find more information?

${1,2,1,3,1,2,1,4, ...}$

This pattern can be find in several occussions
For example: As the distribution of powers of 2 on integers.
$1 (2^0), 2 (2^1), 3 (2^0), 4 (2^2), 5 (2^0), 6 (2^1), 7 (2^0), 8 (2^3)$

Related Hyper links would be appreciated

2. You mean something like this:
Binary -- from Wolfram MathWorld

3. Hi

This database has 22 sequences that conform to this pattern http://oeis.org/search?q=1%2C2%2C1%2...lish&go=Search

4. Ok i got the picture,
Thank you all