Abstract
Inspired by problem 27.5: “Colorful Integers”
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- 1.
Such a sequence is called lacunary.
References
Katznelson, Y. (2001). Chromatic numbers of Cayley graphs on Z and recurrence. Combinatorica, 21, 211–219.
Peres, Y., & Schlag, W. (2010). Two Erdős problems on lacunary sequences: Chromatic number and Diophantine approximation. Bulletin of the London Mathematical Society, 42(2), 295–300.
Soifer, A. (2009). The mathematical coloring book: Mathematics of coloring and the colorful life of its creators. New York: Springer.
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© 2017 Alexander Soifer
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Soifer, A. (2017). E27: Coloring Integers—Entertainment of Mathematical Kind. In: The Colorado Mathematical Olympiad: The Third Decade and Further Explorations. Springer, Cham. https://doi.org/10.1007/978-3-319-52861-8_19
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DOI: https://doi.org/10.1007/978-3-319-52861-8_19
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