Journal of Integer Sequences, Vol. 16 (2013), Article 13.4.7

Counting Toroidal Binary Arrays


S. N. Ethier
Department of Mathematics
University of Utah
155 South 1400 East
Salt Lake City, UT 84112
USA

Abstract:

A formula for the number of toroidal m × n binary arrays, allowing rotation of the rows and/or the columns but not reflection, is known. Here we find a formula for the number of toroidal m × n binary arrays, allowing rotation and/or reflection of the rows and/or the columns.

Full version:  pdf,    dvi,    ps,    latex    

(Concerned with sequences A000029 A000031 A179043 A184264 A184265 A184266 A184267 A184268 A184269 A184270 A184271 A209251 A222187 A222188 A222189 A222190 A222191.)

Received January 13 2013; revised version received April 26 2013. Published in Journal of Integer Sequences, May 1 2013.

Return to Journal of Integer Sequences home page