Case 1, N = 2, # of different labelings = 1
Case 2, N = 3, # of different labelings = 3
Case 3, N = 4, # of different labelings = 16
Case 4, N = 5, # of different labelings = 125
Case 5, N = 6, # of different labelings = 1296
Case 6, N = 7, # of different labelings = 16807
Case 7, N = 8, # of different labelings = 262144