FAR EASTERN BRANCH OF THE RUSSIAN ACADEMY OF SCIENCES
INSTITUTE OF APPLIED MATHEMATICS KHABAROVSK DIVISION
Far Eastern Mathematical Journal
On subsequences of even elements of Somos-6 sequenses |
Avdeeva M.O., Bykovskii V.A. |
2019, issue 1, P. 3-5 |
Abstract |
| It is known that the subsequences of Somos-4 and Somos-5 sequences are Somos-4 sequences. In the paper, it is proved that this property is broken for Somos-6 sequences. |
Keywords: nonlinear recurrent sequences, quadratic sequences, Somos sequences |
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References |
| [1] A. Hone, “Elliptic curves and quadratic recurrence sequences”, Bull. Lond. Math. Soc., v. 37, London Mathematical Society, London, 2005, 161–171. [2] M. O. Avdeeva, V. A. Bykovskii, “Giperellipticheskie sistemy posledovatel'nostei i funktsii”, Dal'nevostochnyi matematicheskii zhurnal, 16:2, (2016), 115–122. [3] A. Hone, “Sigma function solution of the initial value problem for Somos 5 sequences”, Trans. Am. Math. Soc., 359:10, (2007), 5019–5034. |