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Problem
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Please note the correction below.....
Define the operation Ý as follows: kÝ1 = k and inductively kÝ(n+1) = kkÝn, so that kÝn is a tower of exponentiations of the number k taken n times; for example,
Then 2Ý3 < 3Ý2 < 2Ý4 < 3Ý3 < 2Ý5 < 3Ý4. Is it true that for n > 3, the equation 2Ýn < 3Ý(n-1) < 2Ý(n+1) holds ?
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