Hi again jpab29

My apologies. The formula $\displaystyle \sum^n_{i=1}(2i-1)^2=(n-1)^3+n^3$ is totally wrong!! I must have had a brain freeze. The correct formula for the sum of the squares of the first n odd numbers is:

$\displaystyle \sum_{i=1}^n(2i-1)^2={n(4n^2-1)\over3}$

This really can be proved by induction.