2010 OIM Problems/Problem 2
Problem
Find if there are positive integers 
and 
such that all terms of the sequence defined by
![\[x_1 = 2010,\; x_2 = 2011,\;x_{n+2}=x_n+x_{n+1}+a\sqrt{x_nx_{n+1}+b},\;n \ge 1,\]](http://latex.artofproblemsolving.com/9/2/2/92242436602a0b73fae868ae3f77774fa29c9d0e.png)
be integers.
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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