Derive a formula for evaluating the following expression in terms of p and its higher powers, given that p is a positive integer.

   Σ  ([3√m] + <3√m>) 
m=1 to p3

Note: [x] is the greatest integer ≤ x, and <x> is the least integer ≥ x

Answer: p(p+1)(3pē-3p+2)/2
When going to submit this solution after a tidious derivation,
 firefox error came. So, just submitting the answer. Will
fill it in later.

Posted by Praneeth on 2008-05-22 18:04:48