_{n}, n ≥ 0} is defined by:

A

_{0}= 0, and:

A

_{n+1}= [

^{3}√(A

_{n}+ n)]

^{3}

Determine an explicit formula representing A

_{n}in terms of n.

Hence, or otherwise, determine all n such that A

_{n}= n

__Note__: [x] represents the greatest integer ≤ x