Does anyone have any suggestions on how to determine the formula for
following series?

The 1 st number is n
Ther 2 nd number is Power(Sqrt(n)+2,2),
The 3 rd number is Power(Sqrt(Power(Sqrt(n)+2,2))+2,2), then substitute the
previous value into the same formula format.
The 4 th number is Power(Sqrt(Power(Sqrt(Power(Sqrt(n)+2,2))+2,2))+2, 2),
The 5 th number is Power(Sqrt([Previous value])+2,2),

Does anyone have any suggestions on how to determine this repeated structure
in a formula? therefore, if the any number is given, then I can determine the
result directly rather than calculate a list of values in order to get the
result.
Thank in advance for any suggestions
Eric