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.

(In reply to No Subject by McWorter)

X = 1 + sqrt(3).

[X] = 2.
[X^2] = 7
[X^3] = 20

etc.

X must be positive.

Posted by David Shin on 2005-02-26 09:08:31