Geodesic
A multiplicative method of construction of integer Somos-8 and Somos-9 sequences
Dalʹnevostočnyj matematičeskij žurnal, Tome 16 (2016) no. 1, pp. 62-68.

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

The article offers a new method for constructing of integer Somos-8,9 sequences. 
@article{DVMG_2016_16_1_a5,
     author = {M. D. Monina},
     title = {A multiplicative method of construction of integer {Somos-8} and {Somos-9} sequences},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {62--68},
     publisher = {mathdoc},
     volume = {16},
     number = {1},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2016_16_1_a5/}
}
TY  - JOUR
AU  - M. D. Monina
TI  - A multiplicative method of construction of integer Somos-8 and Somos-9 sequences
JO  - Dalʹnevostočnyj matematičeskij žurnal
PY  - 2016
SP  - 62
EP  - 68
VL  - 16
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DVMG_2016_16_1_a5/
LA  - ru
ID  - DVMG_2016_16_1_a5
ER  - 
%0 Journal Article
%A M. D. Monina
%T A multiplicative method of construction of integer Somos-8 and Somos-9 sequences
%J Dalʹnevostočnyj matematičeskij žurnal
%D 2016
%P 62-68
%V 16
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DVMG_2016_16_1_a5/
%G ru
%F DVMG_2016_16_1_a5
M. D. Monina. A multiplicative method of construction of integer Somos-8 and Somos-9 sequences. Dalʹnevostočnyj matematičeskij žurnal, Tome 16 (2016) no. 1, pp. 62-68. http://geodesic.mathdoc.fr/item/DVMG_2016_16_1_a5/

[1] M. Ward, “Memoir on elliptic divisibility sequences”, Amer. J. Math., 70, 1948, 31–74 | DOI | MR | Zbl

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

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

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

[5] 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

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

[7] A. N. W. Hone, “Sigma function solution of the initial value problem for Somos-5 sequences”, Trans. Amer. Math. Soc., 359, 2007, 5019–5034 | DOI | MR | Zbl

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

[9] M. D. Monina, “O tselochislennykh posledovatelnostyakh Somos-8 i Somos-9”, Dalnevostochnyi matematicheskii zhurnal, 15:1 (2015), 70–75 | MR | Zbl