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.

Before they post the whole solution, I thought I'd post one possible solution:  (3+sqrt(17))/2 has the desired property.

Posted by SteveH on 2005-03-10 02:13:12