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// Dal'nevostochnyi Matematicheskii Zhurnal
// Archive
Dal'nevost. Mat. Zh.,
2019
Volume 19,
Number 1,
Pages
6–9
(Mi dvmg390)
On the Laurent property of the Somos-8 sequences
J. G. Bogoutdinova
Khabarovsk Division of the Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences
Abstract:
Zelevinsky and Fomin (2002) proved the Laurent property of the Somos-4, 5, 6, 7 sequences. In the paper the smallest number such that the corresponding element of the Somos-8 sequence is not a Laurent polynomial is calculated.
Key words:
nonlinear recurrent sequences, quadratic sequences, Somos sequences.
UDC:
517.52
,
512.742.72
MSC:
Primary
11B37
; Secondary
33E05
Received:
18.03.2019
Fulltext:
PDF file (389 kB)
References
©
Steklov Math. Inst. of RAS
, 2024
Fulltext:
PDF file (389 kB)