Behavior of powers of odd ordered special circulant magic squares

This paper contains interesting facts regarding the powers of odd ordered special circulant magic squares along with their magic constants. It is shown that we always obtain circulant semi-magic square and special circulant magic square in the case of even and odd positive integer powers of these magic squares respectively. These magic squares will also take a particular form in the case of both even and odd positive integer powers. Moreover, they are singular under some conditions.