sequence?

What is the formula of this sequence?

1, 8, 27, 256, 3125, 46656, 823543

$$a_n=n^{
\left[
n+integerPart\left(\dfrac{2}{n}\right)
\right]}
\quad \text{ and } \quad n > 0$$

Well...if the second term was 4, the formula would be nⁿ   where n is an integer > 0

Thanks, heureka....that's pretty neat.....!!!  I'm going to recommend this one for Melody's "Daily Wrap."

Thank you CPhill