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Not sure how to proceed. I'm trying to prove that the following inequality is true. I know that $t_2 = 6$ and $t_3=17$ from the problem statement. The base case is obvious.

$t_{r+1} \leq (r+1) (t_r - 1) + 2$

($t_r$ is supposed to be the Ramsey number $R(3,3,3,\ldots,3)$ with $r$ $3$s).

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sorry, does that clarify? – skd Feb 25 '13 at 17:31
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The answer to this question gives a big hint for case $r=3$; this hint generalizes easily to arbitrary $r$. – Brian M. Scott Feb 25 '13 at 17:40

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