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A270876 Number of magic tori of order n composed of the numbers from 1 to n^2. 3
1, 0, 1, 255, 251449712 (list; graph; refs; listen; history; text; internal format)



Initially based on empirical observations by the author, the results for the orders 1 to 4, have since been computed and confirmed by Walter Trump. The results for the order 5 have been computed by Walter Trump.


Table of n, a(n) for n=1..5.

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).


Cf. A006052, A271103, A271104.

Sequence in context: A069435 A221214 A212933 * A263166 A139305 A160514

Adjacent sequences:  A270873 A270874 A270875 * A270877 A270878 A270879




William Walkington, Mar 24 2016



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Last modified March 26 04:32 EDT 2019. Contains 321481 sequences. (Running on oeis4.)