Periodicity of Somos sequences
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- by Raphael M. Robinson PDF
- Proc. Amer. Math. Soc. 116 (1992), 613-619 Request permission
Abstract:
Various sequences related to one introduced by Michael Somos are shown to be periodic $\bmod m$ for every $m$, although the problem remains open for the original sequence. Some observations are made concerning the prime divisors and the rate of growth of certain sequences.References
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David Gale, The strange and surprising saga of the Somos sequences, Math. Intelligencer 13 (1991), no. 1, 40-42.
Michael Somos, Problem 1470, Crux Mathematicorum 15 (1989), 208.
Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 116 (1992), 613-619
- MSC: Primary 11B37; Secondary 11B50
- DOI: https://doi.org/10.1090/S0002-9939-1992-1140672-5
- MathSciNet review: 1140672