6

Part of 1995 Poland - Second Round

Problems(1)

n x n can be cut intosquares 2 x 2 and 3 x 3

Source: Polish second round 1995 p6

Determine all positive integers

n

for which the square

n \times n

can be cut into squares

2\times 2

3\times3

(with the sides parallel to the sides of the big square).

Tilingcombinatoricscombinatorial geometry