%I #12 Nov 11 2019 09:23:15
%S 8,8,48,48,48,56,56,56,56,96,96,304
%N There are, up to equivalence (i.e., symmetries and rotations), 880 magic squares of order 4 (cf. A006052). Say that two squares are of the same type if one can be obtained from the other by complementing (replacing each entry i with 17-i) and applying symmetries. There are 12 types. Sequence gives the population of each of the types, arranged in nondecreasing order.
%D William H. Benson and Ostwald Jacoby, New Recreations with Magic Squares, Dover Publications, New York, 1976.
%D Rene Descombes, La magie du carré, Vuibert, 2004.
%D Henry E. Dudeney, Amusements in Mathematics, Dover Publications, New York.
%H Aale de Winkel, <a href="http://www.magichypercubes.com/Encyclopedia/DataBase/Squares_Order4.html">Squares of order 4</a>
%K nonn,fini,full
%O 1,1
%A _Philippe Deléham_, Mar 28 2005