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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Periodicity of Somos sequences


Author: Raphael M. Robinson
Journal: Proc. Amer. Math. Soc. 116 (1992), 613-619
MSC: Primary 11B37; Secondary 11B50
MathSciNet review: 1140672
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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 [Enhancements On Off] (What's this?)

  • [1] David Gale, The strange and surprising saga of the Somos sequences, Math. Intelligencer 13 (1991), no. 1, 40-42.
  • [2] Michael Somos, Problem 1470, Crux Mathematicorum 15 (1989), 208.

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1992-1140672-5
PII: S 0002-9939(1992)1140672-5
Article copyright: © Copyright 1992 American Mathematical Society