The Somos-6 sequences of rank 3
Dalʹnevostočnyj matematičeskij žurnal, Tome 18 (2018) no. 1, pp. 3-8
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Nondegenerate Somos-$4$ sequences have rank $2$. The rank of the product of two such sequences does not exceed $4$, and then the Somos-$2k$ sequences with $k = 2, 3, 4$ arise. In this paper we construct pairs of Comos-$4$ sequences such that them products are the Comos-$6$ sequences.
@article{DVMG_2018_18_1_a0,
author = {M. O. Avdeeva},
title = {The {Somos-6} sequences of rank 3},
journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
pages = {3--8},
publisher = {mathdoc},
volume = {18},
number = {1},
year = {2018},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DVMG_2018_18_1_a0/}
}
M. O. Avdeeva. The Somos-6 sequences of rank 3. Dalʹnevostočnyj matematičeskij žurnal, Tome 18 (2018) no. 1, pp. 3-8. http://geodesic.mathdoc.fr/item/DVMG_2018_18_1_a0/