A081263 Number of distinct (modulo rotation and reflection) n X n associative panmagic squares.

1, 0, 0, 0, 16, 0, 20190684

Offset: 1

Author

Eric W. Weisstein, Mar 14 2003

Keywords

• nonn
• hard
• more

Comments

It is known that a(10)=0.

Walter Trump estimates a(8) ~= 4.677*10^15 and a(9) ~= 1.363*10^24.

References

• Gardner, M. "Magic Squares and Cubes." Ch. 17 in Time Travel and Other Mathematical Bewilderments. New York: W.H. Freeman, pp. 213-225, 1988.

Links

• Walter Trump, How many magic squares are there? - Results of historical and computer enumeration.
• Eric Weisstein's World of Mathematics, Associative Magic Square
• Index entries for sequences related to magic squares

Crossrefs

Cf. A006052, A081262.

Extensions

a(6)-a(7) from Walter Trump's website, added by Max Alekseyev, May 22 2008