Geodesic
On subsequences of even elements of Somos-6 sequenses
Dalʹnevostočnyj matematičeskij žurnal, Tome 19 (2019) no. 1, pp. 3-5 
M. O. Avdeeva; V. A. Bykovskii. On subsequences of even elements of Somos-6 sequenses. Dalʹnevostočnyj matematičeskij žurnal, Tome 19 (2019) no. 1, pp. 3-5. http://geodesic.mathdoc.fr/item/DVMG_2019_19_1_a0/
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is known that the subsequences of Somos-4 and Somos-5 sequences are Somos-4 sequences. In the paper, it is proved that this property is broken for Somos-6 sequences.

[1] A. Hone, “Elliptic curves and quadratic recurrence sequences”, Bull. Lond. Math. Soc., v. 37, London Mathematical Society, London, 2005, 161–171 | DOI | MR | Zbl

[2] M. O. Avdeeva, V. A. Bykovskii, “Giperellipticheskie sistemy posledovatelnostei i funktsii”, Dalnevostochnyi matematicheskii zhurnal, 16:2 (2016), 115–122 | MR | Zbl

[3] A. Hone, “Sigma function solution of the initial value problem for Somos 5 sequences”, Trans. Am. Math. Soc., 359:10 (2007), 5019–5034 | DOI | MR | Zbl