This paper presents an enumeration algorithm to generate all magic squares of order 5 based on the ideas of basic form (Schroeppel [7]) and generating vector which is extension of Frénicle Quads (Ollerenshaw and Bondi [6]). The results lead us to extend Frénicle-Amela patterns from the case of order 4 to the case of order 5, which we refer to Frénicle-Amela-Like patterns. We show that these interesting Frénicle-Amela-Like patterns appear simultaneously. The number of these patterns is also calculated.
@article{bwmeta1.element.doi-10_1515_spma-2016-0011,
author = {Ziqi Lin and Sijie Liu and Kai-Tai Fang and Yuhui Deng},
title = {Generation of all magic squares of order 5 and interesting patterns finding},
journal = {Special Matrices},
volume = {4},
year = {2016},
pages = {110-120},
zbl = {06545193},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_spma-2016-0011}
}
Ziqi Lin; Sijie Liu; Kai-Tai Fang; Yuhui Deng. Generation of all magic squares of order 5 and interesting patterns finding. Special Matrices, Tome 4 (2016) pp. 110-120. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_spma-2016-0011/
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