Fun with Integer Sequences

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Kerry Mitchell: Fun with Integer Sequences. In: Bridges 2017, Pages 95–102.



I present several ways to create images from sequences of integers. Methods are explored that employ discrete symbols and continuous curves. Various types of integer sequences are presented as examples, including digits of irrational numbers, real-valued and Gaussian integers, and sequences arising from numeral substitution rules.

Extended Abstract


 author      = {Kerry Mitchell},
 title       = {Fun with Integer Sequences},
 pages       = {95--102},
 booktitle   = {Proceedings of Bridges 2017: Mathematics, Art, Music, Architecture, Education, Culture},
 year        = {2017},
 editor      = {David Swart, Carlo H. S\'equin, and Krist\'of Fenyvesi},
 isbn        = {978-1-938664-22-9},
 issn        = {1099-6702},
 publisher   = {Tessellations Publishing},
 address     = {Phoenix, Arizona},
 note        = {Available online at \url{}}

Used References

[1] N. J. A. Sloane, editor, The On-Line Encyclopedia of Integer Sequences, (as of Jan. 30, 2017).

[2] W. Gilbert, “Arithmetic in Complex Bases,” Mathematics Magazine, 57(2), 1984,

[3] K. Mitchell, Kerry Mitchell Art, (as of Jan. 30, 2017).

[4] B Riley, Late Morning, (as of Jan. 30, 2017).

[5] Lagrange Polynomial, (as of Jan. 30, 2017).

[6] F. T. Adams-Watters and E. W. Weisstein, “Signature Sequnce,” Mathworld—A Wolfram Web Resource, (as of Jan 31, 2017).

[7] K. Mitchell, “Random Walks with Pi, (as of Mar. 2014).


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