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Even and odd powers (Posted on 2005-02-09) Difficulty: 4 of 5
Let [z] mean the Greatest Integer less than or equal to z. Find a positive real number X, such that [X^n] is an even number whenever n is even, and [X^n] is an odd number whenever n is odd.

See The Solution Submitted by SteveH    
Rating: 4.2222 (9 votes)

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re: Solution | Comment 3 of 23 |
(In reply to Solution by David Shin)

That is a very good solution for the alternate problem.

However, I was looking for the solution to the original problem, although I should have specified that n is an integer greater than 0. With that clarification, the original problem should be solvable.
  Posted by SteveH on 2005-02-10 01:27:34

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