Geodesic
On subsequences of even elements of Somos-6 sequenses
Dalʹnevostočnyj matematičeskij žurnal, Tome 19 (2019) no. 1, pp. 3-5.

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. 
@article{DVMG_2019_19_1_a0,
     author = {M. O. Avdeeva and V. A. Bykovskii},
     title = {On subsequences of even elements of {Somos-6} sequenses},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {3--5},
     publisher = {mathdoc},
     volume = {19},
     number = {1},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2019_19_1_a0/}
}
TY  - JOUR
AU  - M. O. Avdeeva
AU  - V. A. Bykovskii
TI  - On subsequences of even elements of Somos-6 sequenses
JO  - Dalʹnevostočnyj matematičeskij žurnal
PY  - 2019
SP  - 3
EP  - 5
VL  - 19
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DVMG_2019_19_1_a0/
LA  - ru
ID  - DVMG_2019_19_1_a0
ER  - 
%0 Journal Article
%A M. O. Avdeeva
%A V. A. Bykovskii
%T On subsequences of even elements of Somos-6 sequenses
%J Dalʹnevostočnyj matematičeskij žurnal
%D 2019
%P 3-5
%V 19
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DVMG_2019_19_1_a0/
%G ru
%F DVMG_2019_19_1_a0
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/

[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