Truncated Lucas sequence and its period

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摘要

We prove some theorems concerning the truncated Lucas sequences. We also state some conjectures concerning the period (mod m) of truncated Lucas sequences, where the integer m is at least 2. In addition, we present some computer-generated results that tend to support these conjectures.

论文关键词：Fibonacci sequence,Period,Truncated Fibonacci sequence,Truncated Lucas sequence,Multiplicative function

论文评审过程：Available online 7 February 2014.

论文官网地址：https://doi.org/10.1016/j.amc.2014.01.014