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

1,4

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

Table of n, a(n) for n=1..15.

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.

Sequence in context: A285485 A176127 A087637 * A004586 A116511 A248211

Adjacent sequences: A052455 A052456 A052457 * A052459 A052460 A052461

Keyword

nonn,more,nice

Author

Eric W. Weisstein

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

Status

approved