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

1,4

COMMENTS

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

Table of n, a(n) for n=1..4.

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, Antimagic Square.

Index entries for sequences related to magic squares

CROSSREFS

Sequence in context: A253798 A022246 A227700 * A283209 A113939 A023686

Adjacent sequences:  A050254 A050255 A050256 * A050258 A050259 A050260

KEYWORD

nonn,hard,nice

AUTHOR

Eric W. Weisstein

EXTENSIONS

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

STATUS

approved

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Last modified January 19 16:32 EST 2019. Contains 319309 sequences. (Running on oeis4.)