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Article . 2017
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Some New Generalizations Of The Lucas Sequence

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 2017 Turkey Publisher:Zenodo
Authors: Torunbalcı Aydın, Fügen; Yüce, Salim;

doi: 10.5281/zenodo.815817 , 10.5281/zenodo.815818

Some New Generalizations Of The Lucas Sequence

Abstract

In this paper, we investigate the generalized Lucas, the generalized complex Lucas and the generalized dual Lucas sequence using the Lucas number. Also, we investigate special cases of these sequences. Furthermore, we give recurrence relations, vectors, the golden ratio and Binet’s formula for the generalized Lucas and the generalized dual Lucas sequence.

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Smarandache-Fibonacci triple

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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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impulse
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