Squares on a Chess Board Puzzle - Solution

Not just the 64 1x1 squares, there are bigger ones, too!

There are a total of 204 squares on a chess board, including all sizes from 1x1 up to 8x8:

1x1: 64
2x2: 49
3x3: 36
4x4: 25
5x5: 16
6x6: 9
7x7: 4
8x8: 1