Somos-4 and elliptic systems of sequences
type: Item
instance of: scholarly article
title: Somos-4 and elliptic systems of sequences
zbMATH Open document ID: 1375.11023
DOI: 10.1134/S1064562416060016
author: V. A. Bykovskiĭ
author: Alexey Ustinov
published in: Doklady Mathematics
publication date: 2017-04-11T00:00:00Z
review text: The double Somos-4 sequences \(\{ A_n \}\) and \(\{ B_n \}\) with no zero elements and with initial terms \[ A_{\pm 2}, A_{\pm 1}, A_{0}, B_{\pm 2}, B_{\pm 1}, B_{0} \] are defined by the recurrence relations: \[ A_{n+2}B_{n-2} = \alpha A_{n+1}B_{n-1} + \beta A_{n}B_{n}, \] \[ A_{n-2}B_{n+2} = \gamma A_{n-1}B_{n+1} + \delta A_{n}B_{n}. \] General formulas for their elements are obtained. A sufficient integrality condition for such sequences is presented.
reviewed by: Krassimir Atanassov
Mathematics Subject Classification ID: 11B83
Mathematics Subject Classification ID: 11B37
Mathematics Subject Classification ID: 11G05
zbMATH DE Number: 6703934
MaRDI profile type: Publication
cites work: Q5607371
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description: scientific article; zbMATH DE number 6703934