A270876 Number of magic tori of order n composed of the numbers from 1 to n^2.

1, 0, 1, 255, 251449712

Offset

1,4

Comments

Initially based on empirical observations by William Walkington, 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.

Links

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).

William Walkington, 440 torus-opposite pairs of the 880 Frénicle magic squares of order-4, (2023).

Crossrefs

Cf. A006052, A271103, A271104.

Sequence in context: A069435 A221214 A212933 * A263166 A139305 A348431

Adjacent sequences: A270873 A270874 A270875 * A270877 A270878 A270879

Keyword

nonn,more

Author

William Walkington, Mar 24 2016

Status

approved