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Search: id:A103744
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| A103744 |
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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 by 17-i) and applying symmetries. There are 12 types. Sequence gives the population of each of the types, arranged in nondecreasing order. |
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1
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| 8, 8, 48, 48, 48, 56, 56, 56, 56, 96, 96, 304
(list; graph; listen)
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OFFSET
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1,1
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REFERENCES
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William H. Benson and Ostwald Jacoby, New Recreations with Magics Squares, Dover Publications, New-York, 1976
Rene Descombes, La magie du carre, Vuibert, 2004
Henry E. Dudeney, Amusements in Mathematics, Dover Publications, New-york
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LINKS
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Aale de Winkel, Squares of order 4
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CROSSREFS
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Sequence in context: A053596 A141384 A111218 this_sequence A151782 A165829 A164683
Adjacent sequences: A103741 A103742 A103743 this_sequence A103745 A103746 A103747
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KEYWORD
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nonn,fini,full
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AUTHOR
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Philippe DELEHAM, Mar 28 2005
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