A270876 - OEIS

%I #37 Jul 23 2023 18:55:22

%S 1,0,1,255,251449712

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

%C 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_.

%H Dwane Campbell, <a href="http://magictesseract.com/order-4_squares">Analysis of order-4 magic squares</a>, (2013).

%H Dwane Campbell, <a href="http://magictesseract.com/Frenicle_squares">Order-4 squares grouped by base square quartets</a>, (2013).

%H Dwane Campbell, <a href="http://magictesseract.com/order-4_features">Features in order-4 magic squares</a>, (2013).

%H William Walkington, <a href="http://carresmagiques.blogspot.fr/2011/10/255-tores-magiques-dordre-4-et-1-tore.html">255 tores magiques d'ordre 4, et 1 tore magique d'ordre 3</a>, (2011).

%H William Walkington, <a href="http://carresmagiques.blogspot.fr/2011/11/passage-du-carre-au-tore-magique.html">Passage du carré au tore magique</a>, (2011).

%H William Walkington, <a href="http://carresmagiques.blogspot.fr/2012/01/255-fourth-order-magic-tori-and-1-third.html">255 fourth-order magic tori, and 1 third-order magic torus</a>, (2012).

%H William Walkington, <a href="http://carresmagiques.blogspot.fr/2012/03/from-magic-square-to-magic-torus.html">From the magic square to the magic torus</a>, (2012).

%H William Walkington, (using findings computed by _Walter Trump_), <a href="http://carresmagiques.blogspot.fr/2012/09/251-449-712-fifth-order-magic-tori.html">251 449 712 fifth-order magic tori</a>, (2012).

%H William Walkington, <a href="http://carresmagiques.blogspot.fr/2012/04/a-new-census-of-fourth-order-magic.html">A new census of fourth-order magic squares</a>, (2012).

%H William Walkington, <a href="http://carresmagiques.blogspot.fr/2012/10/table-of-fourth-order-magic-tori.html">Table of fourth-order magic tori</a>, (2012).

%H William Walkington, <a href="http://carresmagiques.blogspot.fr/2023/06/torus-opposite-pairs-of-magic-squares-in-order-4.html">440 torus-opposite pairs of the 880 Frénicle magic squares of order-4</a>, (2023).

%Y Cf. A006052, A271103, A271104.

%K nonn,more

%O 1,4

%A _William Walkington_, Mar 24 2016