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.

X=n.

When n is even, n^n is even.  When n is odd, n^n is odd.

The only problem is that X, in this case, would not be a positive real number, it would be more than one positive real number, depending on what n is.

Posted by Dustin on 2005-02-09 18:44:57