Hello all, I just made two threads about magic squares and regular squares, and in the process of making them, one of my questions I had written down asked why all regular squares are necessarily magic. Now I have another question!

Q: Is there a square that is a "Magic Square" and not necessarily a "Regular Square" as well? For the sake of consistency, if such an occurrence exists could someone give me a nxn square in decimal and base n for n=4 ? (4x4 square)