Geodesic
On the Laurent property of the Somos-8 sequences
Dalʹnevostočnyj matematičeskij žurnal, Tome 19 (2019) no. 1, pp. 6-9 
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/
@article{DVMG_2019_19_1_a1,
     author = {J. G. Bogoutdinova},
     title = {On the {Laurent} property of the {Somos-8} sequences},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {6--9},
     year = {2019},
     volume = {19},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2019_19_1_a1/}
}
TY  - JOUR
AU  - J. G. Bogoutdinova
TI  - On the Laurent property of the Somos-8 sequences
JO  - Dalʹnevostočnyj matematičeskij žurnal
PY  - 2019
SP  - 6
EP  - 9
VL  - 19
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/DVMG_2019_19_1_a1/
LA  - ru
ID  - DVMG_2019_19_1_a1
ER  - 
%0 Journal Article
%A J. G. Bogoutdinova
%T On the Laurent property of the Somos-8 sequences
%J Dalʹnevostočnyj matematičeskij žurnal
%D 2019
%P 6-9
%V 19
%N 1
%U http://geodesic.mathdoc.fr/item/DVMG_2019_19_1_a1/
%G ru
%F DVMG_2019_19_1_a1

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

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.

[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