Geodesic
An Elementary Approach to the Study of Somos Sequences
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Algebraic topology, combinatorics, and mathematical physics, Tome 305 (2019), pp. 330-343

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An elementary approach (not involving the theory of elliptic functions) is proposed to the proof of the main properties of the Somos-4 sequence.
Keywords: Somos-4 sequence, addition theorems, elliptic curves. 
@article{TM_2019_305_a17,
     author = {A. V. Ustinov},
     title = {An {Elementary} {Approach} to the {Study} of {Somos} {Sequences}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {330--343},
     publisher = {mathdoc},
     volume = {305},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2019_305_a17/}
}
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A. V. Ustinov. An Elementary Approach to the Study of Somos Sequences. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Algebraic topology, combinatorics, and mathematical physics, Tome 305 (2019), pp. 330-343. http://geodesic.mathdoc.fr/item/TM_2019_305_a17/