New Integer Sequences Arising From 3-Period Folding Numbers
Quynh Nguyen, Jean Pedersen, and Hien T. Vu
Department of Mathematics and Computer Science
Santa Clara University
Santa Clara, CA 95053
Following Pólya's "guess and test" method, we seek to discover 3-period
folding numbers analogous to the exhaustive set of 2-period folding
numbers discovered by Hilton and Pedersen in 1981. Most of the rows and
columns of the 2-period folding numbers are reported in the Online
Encyclopedia of Integer Sequences (OEIS) with various other
mathematical interpretations. We provide a table of 3-period folding
numbers, but it is not exhaustive, as we demonstrate by showing other
sets of 3-period folding numbers that are not in the table. We close
the paper with an algorithm for finding more sets of 3-period folding
numbers and a conjecture about how many such sets exist.
Full version: pdf,
(Concerned with sequences
Received April 10 2013; revised versions received December 30 2013; January 23 2016; February 6 2016.
Published in Journal of Integer Sequences, March 19 2016.
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