Geodesic
On the Laurent property of the Somos-8 sequences
Dalʹnevostočnyj matematičeskij žurnal, Tome 19 (2019) no. 1, pp. 6-9.

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Zelevinsky and Fomin (2002) proved the Laurent property of the Somos-4, 5, 6, 7 sequences. In the paper the smallest number such that the corresponding element of the Somos-8 sequence is not a Laurent polynomial is calculated. 
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J. G. Bogoutdinova. On the Laurent property of the Somos-8 sequences. Dalʹnevostočnyj matematičeskij žurnal, Tome 19 (2019) no. 1, pp. 6-9. http://geodesic.mathdoc.fr/item/DVMG_2019_19_1_a1/

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

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

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

[4] J. L. Malouf, “An integer sequence from a rational recursion”, Discrete Mathematics, 110 (1992), 257–261 | DOI | MR | Zbl

[5] J. Propp http://jamespropp.org/somos.html