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. 
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/
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