On matrices related with Fibonacci and Lucas numbers

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摘要

In this paper, we obtain some new results on matrices related with Fibonacci numbers and Lucas numbers. Also, we derive the relation between Pell numbers and its companion sequence by using our representations.

论文关键词：Order-k sequence,Generalized order-k Fibonacci (Lucas) numbers,Matrix,Pell numbers

论文评审过程：Available online 19 November 2007.

论文官网地址：https://doi.org/10.1016/j.amc.2007.10.060