On integer Somos-8 and Somos-9 sequences
Dalʹnevostočnyj matematičeskij žurnal, Tome 15 (2015) no. 1, pp. 70-75.

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The article offers a new method for constructing of integer sequences.
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M. D. Monina. On integer Somos-8 and Somos-9 sequences. Dalʹnevostočnyj matematičeskij žurnal, Tome 15 (2015) no. 1, pp. 70-75. http://geodesic.mathdoc.fr/item/DVMG_2015_15_1_a6/

[1] M. Somos, Problem 1470, Crux Mathematicorum 15 208, 1989

[2] D. Gale, “Mathematical Entertainments: The Strange and Surprising Saga of the Somos Sequences”, Math. Intel., 13, 1991, 40–42 | DOI | MR

[3] S. Fomin, A. Zelevinsky, “The Laurent Phenomenon”, Adv. Appl. Math., 28, 2002, 19–44 | DOI | MR

[4] A. N. W. Hone, C. S. Swart, “Integrality and the Laurent phenomenon for Somos 4 and Somos 5 sequences”, Mathematical Proceedigs of the Cambridge Philosophical Society, 145 (2008), 65–85 | MR | Zbl

[5] A. N. W. Hone, “Elliptic curves and quadratic recurrence sequences”, Bull. Lond. Math. Soc., 37, 2005, 161–171 | DOI | MR | Zbl

[6] A. N. W. Hone, “Sigma function solution of the initial value problem for Somos-5 sequences”, Trans. Amer. Math. Soc. at press; math. NT/0501554, 2006 | MR

[7] V. Bykovskii, 2015 http://www.skoltech.ru/app/data/uploads/sites/29/2015/02/Skolkovo_Bykovskii.pdf