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A050257 Number of distinct antimagic squares of order n (modulo rotations and reflections). +0
3
0, 0, 0, 299710 (list; graph; listen)
OFFSET

1,4

COMMENT

An Anti-Magic Square (AMS) is an arrangement of the numbers 1 to n*n in a square matrix such that the row, column and diagonal sums form a sequence of consecutive integers.

LINKS

J. Cormie, The Anti-Magic Square Project

J. Cormie, Example: sorting the sums (numbers in black on the border) yields the sequence: 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269 (from web page above).

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

Index entries for sequences related to magic squares

CROSSREFS

Sequence in context: A048906 A119740 A022246 this_sequence A113939 A023686 A111031

Adjacent sequences: A050254 A050255 A050256 this_sequence A050258 A050259 A050260

KEYWORD

nonn,hard,bref,nice

AUTHOR

Eric Weisstein (eric(AT)weisstein.com)

EXTENSIONS

a(n) not known for n >=5.

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Last modified September 7 15:23 EDT 2008. Contains 143483 sequences.


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