On k-Lucas sequences

Name: On k-Lucas sequences
Keywords: 16. Peace & justice

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2014Publisher:AIP Publishing LLCJournal:AIP Conference Proceedings, volume 1,635, pages 425-429 (issn: 0094-243X,

Authors: Jye-Ying Sia; C. K. Ho; Chin-Yoon Chong;

doi: 10.1063/1.4903617

On k-Lucas sequences

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Abstract

For positive integers n and k, the k-Lucas sequence is defined by the recurrence relation Ln+1 = kLn+Ln−1 with the initial values L0 = 2, L1 = k. The Lucas sequence and Pell-Lucas sequence are two special cases of the k-Lucas sequence. Using a matrix approach, we uncover some new facts concerning the k-Lucas sequence.

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Sunway University
Malaysia

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