Journal of Integer Sequences, Vol. 18 (2015), Article 15.8.3

Counting Toroidal Binary Arrays, II


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

Jiyeon Lee
Department of Statistics
Yeungnam University
214-1 Daedong, Kyeongsan
Kyeongbuk 712-749
South Korea

Abstract:

We derive formulas for (i) the number of distinct toroidal n × n binary arrays, allowing rotation of rows and/or columns as well as matrix transposition, and (ii) the number of distinct toroidal n × n binary arrays, allowing rotation and/or reflection of rows and/or columns as well as matrix transposition.

Full version:  pdf,    dvi,    ps,    latex    

(Concerned with sequences A179043 A184271 A209251 A222188 A255015 A255016.)

Received February 19 2015; revised version received June 3 2015. Published in Journal of Integer Sequences, July 16 2015.

Return to Journal of Integer Sequences home page