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

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

Offset

1,5

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

Table of n, a(n) for n=1..7.

Walter Trump, How many magic squares are there?

Eric Weisstein's World of Mathematics, Associative Magic Square

Crossrefs

Cf. A006052, A081262.

Sequence in context: A111979 A309984 A173436 * A265491 A209201 A050467

Adjacent sequences: A081260 A081261 A081262 * A081264 A081265 A081266

Keyword

nonn,hard,more

Author

Eric W. Weisstein, Mar 14 2003

Extensions

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

Status

approved