OFFSET
1,4
COMMENTS
Initially based on empirical observations by the author, the results for the magic tori of orders 1 to 4, have since been computed and confirmed by Walter Trump. The results for the magic tori of order 5, and for the semi-magic tori of orders 4 and 5, have been computed by Walter Trump. The result for the order 6 is deduced from Artem Ripatti's findings (cf. A271103).
A semi-magic torus differs from a magic torus in that there are no magic intersections of magic diagonals, and in consequence only semi-magic squares are displayed on its surface.
LINKS
Dwane Campbell, Analysis of order-4 magic squares, (2013).
Dwane Campbell, Order-4 squares grouped by base square quartets, (2013).
Dwane Campbell, Features in order-4 magic squares, (2013).
William Walkington, 255 tores magiques d'ordre 4, et 1 tore magique d'ordre 3, (2011).
William Walkington, Passage du carré au tore magique, (2011).
William Walkington, 255 fourth-order magic tori, and 1 third-order magic torus, (2012).
William Walkington, From the magic square to the magic torus, (2012).
William Walkington, (using findings computed by Walter Trump), 251 449 712 fifth-order magic tori, (2012).
William Walkington, A new census of fourth-order magic squares, (2012).
William Walkington, Table of fourth-order magic tori, (2012).
FORMULA
a(n) = A271103(n)/ n^2.
CROSSREFS
KEYWORD
nonn,more
AUTHOR
William Walkington, Mar 30 2016
EXTENSIONS
a(6) added by William Walkington, Jul 18 2018
STATUS
approved