A103744 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.

8, 8, 48, 48, 48, 56, 56, 56, 56, 96, 96, 304

Offset: 1

Author

Philippe Deléham, Mar 28 2005

Keywords

• nonn
• fini
• full

References

• William H. Benson and Ostwald Jacoby, New Recreations with Magic Squares, Dover Publications, New York, 1976.
• Rene Descombes, La magie du carré, Vuibert, 2004.
• Henry E. Dudeney, Amusements in Mathematics, Dover Publications, New York.

Links

• Aale de Winkel, Squares of order 4