Hi

Does anyone know the form of the following sequence:

0,1,0,2,

0,1,0,3,

0,1,0,2,0,1,0,4,

0,1,0,2,0,1,0,3,0,1,0,2,0,1,0,5

(in fact this sequence are the powers of two at integer numbers)

i.e.

$\displaystyle 1 = 2^0$

$\displaystyle 2 = 2^1$

$\displaystyle 3 = 2^0\cdot 3$

$\displaystyle 4 = 2^2$

$\displaystyle 5 = 2^0\cdot 5$

$\displaystyle 6 = 2^1\cdot 3$

...

As far i have found that:

$\displaystyle

A_{2^s(2n+1)}=s

$

However i havent found any relation between $\displaystyle s$ and $\displaystyle n$

Any idea?

Thank you a lot