2007 OIM Problems/Problem 1
Problem
Given a positive integer 
, the sequence {
} is defined as follows:
![\[a_1=\frac{m}{2},\;a_{n+1}=a_n\left\lceil a_n \right\rceil,\; \text{ if }n\ge 1\]](http://latex.artofproblemsolving.com/7/7/9/77969268eec3e8ee3f7fe0cb56d7268d46b06bdc.png)
Find all values of for which 
is the first integer that appears in the succession.
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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