Geodesic
New integer sequences arising from 3-period folding numbers
Journal of integer sequences, Tome 19 (2016) no. 3
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.
Classification : 11A99, 11B50, 51M15
Keywords: number theory, algorithm, paper-folding, sequence 
@article{JIS_2016__19_3_a4,
     author = {Nguyen,  Quynh and Pedersen,  Jean and Vu,  Hien T.},
     title = {New integer sequences arising from 3-period folding numbers},
     journal = {Journal of integer sequences},
     year = {2016},
     volume = {19},
     number = {3},
     zbl = {1415.11054},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2016__19_3_a4/}
}
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Nguyen,  Quynh; Pedersen,  Jean; Vu,  Hien T. New integer sequences arising from 3-period folding numbers. Journal of integer sequences, Tome 19 (2016) no. 3. http://geodesic.mathdoc.fr/item/JIS_2016__19_3_a4/