A103744 - OEIS

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

(list; graph; refs; listen; history; text; internal format)

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