Well...if the second term was 4, the formula would be nn where n is an integer > 0
What is the formula of this sequence?
1, 8, 27, 256, 3125, 46656, 823543
$$a_n=n^{
\left[
n+integerPart\left(\dfrac{2}{n}\right)
\right]}
\quad \text{ and } \quad n > 0$$