Difference between revisions of "1997 USAMO Problems/Problem 6"
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Revision as of 09:39, 1 July 2011
Problem
Suppose the sequence of nonnegative integers 
satisfies
$a_i+a_j\lea_{i+j}\lea_i+a_j+1$ (Error compiling LaTeX. Unknown error_msg)
for all 
with 
. Show that there exists a real number 
such that 
(the greatest integer $\lenx$ (Error compiling LaTeX. Unknown error_msg)) for all $1\len\le1997$ (Error compiling LaTeX. Unknown error_msg).
