Geodesic
Integer Somos-4 sequence with rational coefficients
Dalʹnevostočnyj matematičeskij žurnal, Tome 18 (2018) no. 2, pp. 147-149.

Voir la notice de l'article provenant de la source Math-Net.Ru

The paper presents a new example of the integer Somos-4 sequence with rational coefficients. 
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V. A. Bykovskii. Integer Somos-4 sequence  with rational coefficients. Dalʹnevostočnyj matematičeskij žurnal, Tome 18 (2018) no. 2, pp. 147-149. http://geodesic.mathdoc.fr/item/DVMG_2018_18_2_a1/

[1] M. Somos, “Problem 1470”, Crux Mathematicorum, 15 (1989), 208

[2] D. Gale, “The strange and surprising saga of the Somos sequences”, Mathematical Intelligencer, 13:1 (1991), 40–42 | DOI | MR

[3] S. Fomin, A. Zelevinsky, “The Laurent phenomenon”, Adv. Appl. Math., 28 (2002), 119–144 | DOI | MR | Zbl

[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] M. D. Monina, “Chetyrëkhparametricheskoe semeistvo tselochislennykh posledovatelnostei Somos-4”, Dalnevost. matem. zhurn., 18:1 (2018), 85–89 | MR

[6] V. A. Bykovskii, M. D. Monina, “Tselochislennye posledovatelnosti Somos-4”, Doklady akademii nauk, 418:5 (2018)

[7] Hone A. N. W., “Sigma function solution of the initial value problem for Somos 5 sequences”, Trans. Amer. Math. Soc., 2006, arXiv: math/0501554 | MR