Number of unique magic squares.
>There is (1) 1x1 square--duh.
>Interesting that there are (0) 2x2 squares. Place any number in any corner--both adjacent corners must be the same number, preventing a square. Can a 5th grader follow this?
>There is (1) 3x3 square. Can be reasoned out by cases. Can 5th grader follow?
>There are (880) unique 4x4 squares. Very interesting that this number jumps so quickly.
>Stunning: There are (275,305,224) unique 5x5 squares. WOW!
>>We don't know how many 6x6 squares there are.