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%I A103744
%S A103744 8,8,48,48,48,56,56,56,56,96,96,304
%N 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 by 17-i) and applying symmetries. There are 
               12 types. Sequence gives the population of each of the types, arranged 
               in nondecreasing order.
%D A103744 William H. Benson and Ostwald Jacoby, New Recreations with Magics Squares, 
               Dover Publications, New-York, 1976
%D A103744 Rene Descombes, La magie du carre, Vuibert, 2004
%D A103744 Henry E. Dudeney, Amusements in Mathematics, Dover Publications, New-york
%H A103744 Aale de Winkel, <a href="http://home.wanadoo.nl/aaledewinkel/Encyclopedia/
               DataBase/Squares_Order4.html">Squares of order 4</a>
%Y A103744 Sequence in context: A053596 A141384 A111218 this_sequence A151782 A165829 
               A164683
%Y A103744 Adjacent sequences: A103741 A103742 A103743 this_sequence A103745 A103746 
               A103747
%K A103744 nonn,fini,full
%O A103744 1,1
%A A103744 Philippe DELEHAM, Mar 28 2005

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