A052458 Number of trimagic series for squares of order n.

1, 0, 0, 2, 2, 0, 0, 121, 126, 0, 31187, 2226896, 17265701, 0, 69303997733

Offset: 1

Author

Eric W. Weisstein

Keywords

• nonn
• more
• nice

Comments

Asymptotic results are presented in Quist for magic cube and hypercube series, bimagic series, and trimagic series. - Jonathan Vos Post, Jun 04 2013

References

• M. Kraitchik, Mathematical Recreations, 1942, see Section 7.10.

Links

• Christian Boyer, Multimagic Squares
• Michael Quist, Asymptotic enumeration of magic series, arXiv:1306.0616v1 [math.CO], June 3, 2013.
• Eric Weisstein's World of Mathematics, Multimagic Series

Crossrefs

Cf. A052456, A052457, A090653, A092312, A090037.

Extensions

Corrected and extended Nov 15 2003, using the values of a(3) through a(12) from Christian Boyer's web site. - N. J. A. Sloane

One more term from Christian Boyer (cboyer(AT)club-internet.fr), Nov 05 2004

One further term from Christian Boyer (cboyer(AT)club-internet.fr), May 30 2005

a(15) computed by Michael Quist, and communicated by Christian Boyer (cboyer(AT)club-internet.fr), Feb 06 2009