A027567 Number of distinct (modulo rotation and reflection) n X n panmagic = pandiagonal = diabolic = Nasik squares.
1, 0, 0, 48, 3600, 0
Offset: 1
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.
- Walter Trump, How many magic squares are there? - Results of historical and computer enumeration.
- Eric Weisstein's World of Mathematics, Panmagic Square
- Index entries for sequences related to magic squares
Crossrefs
Cf. A006052.
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).