login
Number of distinct (modulo rotation and reflection) n X n associative magic squares.
2

%I #31 Jun 02 2024 12:59:49

%S 1,0,1,48,48544,0,1125154039419854784

%N Number of distinct (modulo rotation and reflection) n X n associative magic squares.

%H Go Kato, Shin-ichi Minato, <a href="https://arxiv.org/abs/1906.07461">Enumeration of associative magic squares of order 7</a>, arXiv:1906.07461 [math.CO], 2019.

%H Walter Trump, <a href="http://www.trump.de/magic-squares/howmany.html">How many magic squares are there? - Results of historical and computer enumeration</a>.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/AssociativeMagicSquare.html">Associative Magic Square</a>

%H <a href="/index/Mag#magic">Index entries for sequences related to magic squares</a>

%Y Cf. A006052, A081263.

%K nonn,hard,more

%O 1,4

%A _Eric W. Weisstein_, Mar 14 2003

%E a(5) from _Jud McCranie_, Mar 17 2003

%E a(6) from _Max Alekseyev_, May 22 2008

%E a(7) from _Go Kato_, Nov 30 2018