replacement - How to replace the symbol n in DifferenceRoot

I'd like to employ another symbol (say alpha or k) instead of n in the following (type of) function:

DifferenceRoot[
  Function[{\[FormalY], \[FormalN]},

    {2 + 3 \[FormalN] - 2 \[FormalN]^2 - \[FormalN]^3 - (1 + \[FormalN]) (2 + \[FormalN])
     \[FormalY][\[FormalN]] + \[FormalN] (1 + \[FormalN]) (2 + \[FormalN])
     \[FormalY][1 + \[FormalN]] == 0, \[FormalY][1] == 0}
   ]
 ][n]