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A027567
Number of distinct (modulo rotation and reflection) n X n panmagic = pandiagonal = diabolic = Nasik squares.
2
1, 0, 0, 48, 3600, 0
OFFSET
1,4
REFERENCES
Hunter, J. A. H. and Madachy, J. S. "Mystic Arrays." Ch. 3 in Mathematical Diversions. New York: Dover, pp. 24-25, 1975.
LINKS
Harvey Heinz, Pandiagonal 5 X 5.
D. N. Lehmer, A census of squares of order 4, magic in rows, columns, and diagonals, Bull. Amer. Math. Soc. 39 (1933), 981-982.
Wolfgang Müller, Group Actions on Magic Squares, Séminaire Lotharingien de Combinatoire, B39b (1997), 14 pp.
Barkley Rosser and R. J. Walker, On the transformation group for diabolic magic squares of order four, Bull. Amer. Math. Soc. 44 (1938), 416-420.
Eric Weisstein's World of Mathematics, Panmagic Square
CROSSREFS
Cf. A006052.
Sequence in context: A208442 A203488 A162700 * A271188 A033475 A053060
KEYWORD
nonn,hard,more
EXTENSIONS
Corrected by _Eric Weisstein_, Mar 14 2003 to include only distinct squares; Hunter and Madachy give the count of all such squares (there are 384).
STATUS
approved