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On Four Special Cases of Generalized Tribonacci Sequence: Tribonacci-Perrin, modified Tribonacci, modified TribonacciLucas and adjusted Tribonacci-Lucas Sequences

descriptionPublicationkeyboard_double_arrow_right Article 30 Jul 2020 Turkey Publisher:Zenodo
Authors: Yüksel Soykan;

doi: 10.5281/zenodo.3973344 , 10.5281/zenodo.3973345

handle: 20.500.12628/25631

On Four Special Cases of Generalized Tribonacci Sequence: Tribonacci-Perrin, modified Tribonacci, modified TribonacciLucas and adjusted Tribonacci-Lucas Sequences

Abstract

In this paper, we investigate four new special cases, namely, Tribonacci-Perrin, modified Tribonacci, modified Tribonacci-Lucas, adjusted Tribonacci-Lucas sequences, of the generalized Tribonacci sequences. We present Binet’s formulas, generating functions, Simson formulas, and the summation formulas for these sequences. Moreover, we give some identities and matrices related with these sequences.

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Turkey
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Tribonacci numbers, Tribonacci-Lucas numbers, Tribonacci-Perrin numbers, modified Tribonacci numbers, modified Tribonacci-Lucas numbers, adjusted Tribonacci-Lucas numbers.

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This is an alternative to the "Influence" indicator, which also 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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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.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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