On the representation of k-generalized Fibonacci and Lucas numbers

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摘要

In this paper we give some determinantal and permanental representations of k-generalized Fibonacci and Lucas numbers. We obtain the Binet’s formula for these sequences by using our representations.

论文关键词:k-Generalized Fibonacci numbers,k-Generalized Lucas numbers,Hessenberg matrices

论文评审过程:Available online 10 March 2005.

论文官网地址:https://doi.org/10.1016/j.amc.2004.12.009