Puzzle #56: Count the Cubes

 

           One method of calculation is to make a list of the number of the two types of cubes for each size cube as follows:

 

 Size /  #cubes with 1 side painted /  #cubes with no sides painted

3x3                        6                                        1

4x4                         ?                                         ?

5x5                         ?                                         ?

?

?