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Powered Greatest Root (Posted on 20110203) 

The sequence {A_{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
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