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

1,1

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

Table of n, a(n) for n=1..12.

Aale de Winkel, Squares of order 4

Crossrefs

Sequence in context: A240037 A241867 A243124 * A151782 A165829 A358714

Adjacent sequences: A103741 A103742 A103743 * A103745 A103746 A103747

Keyword

nonn,fini,full

Author

Philippe Deléham, Mar 28 2005

Status

approved