On subsequences of even elements of Somos-6 sequenses

M. O. Avdeeva, V. A. Bykovskii

Khabarovsk Division of the Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences

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.

Key words: nonlinear recurrent sequences, quadratic sequences, Somos sequences.

UDC: 511.21+517.965+517.582

MSC: Primary 11B37; Secondary 33F05

Received: 30.04.2019