\[\begin{array}{l} \ln 2 = \frac{1}{{1 + \frac{1}{{1 + \frac{2}{{1 + \frac{2}{{1 + \frac{4}{{1 + \frac{3}{{1 + \frac{6}{{...}}}}}}}}}}}}}} \hfill \\ {b_i} = \left[ {1,2,2,4,3,6,4,8,...,n,2n,...} \right] \hfill \\ \end{array}\]