Far Eastern Mathematical Journal

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Tropical sequences associated with the Gale-Robinson sequences

Romanov M.A.

2021, issue 2, P. 247–256 DOI: https://doi.org/10.47910/FEMJ202121

Abstract

In this paper, tropical sequences associated with some Gale-Robinson sequences are calculated.

Keywords: Somos sequences, Gale-Robinson sequences, tropical sequences

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References

[1] D. Gale, “The strange and surprising saga of the Somos sequences”, Math. Intelligencer, 13:1 (1991), 40–42. [2] R.K. Guy, Unsolved problems in number theory, 2, Springer-Verlag, New York, 1994. [3] S. Fomin and A. Zelevinsky, “The Laurent Phenomenon”, Adv. Appl. Math., 28 (2002), 119–144. [4] R. Robinson, “Periodicity of Somos sequences”, Proceedings of the AMS, 116:3 (1992), 613–619. [5] V.A. Bykovskii, M.A. Romanov, A.V. Ustinov, “Tropicheskie posledovatel'nosti, assotsiirovannye s posledovatel'nostiami Somosa”, Chebyshevskii sbornik, 22:1 (2021), 118–132.

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