Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the 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