The Log-Behavior of the Partial Sum for the Tribonacci Numbers

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Authors

  • Feng-Zhen Zhao
     ,CN

DOI:

https://doi.org/10.18311/jims/2017/6115

Keywords:

Fibonacci Sequence, Tribonacci Sequence, Log-Convexity, Log-concavity, Log-Balancedness, Monotonicity
Algebra

Abstract

Let {Tn}n ≥ 0 and {Tn[1]}n ≥ 0 denote the tribonacci sequence and the sequence for the partial sum of {Tn}n ≥ 0, respectively. In this paper, we mainly investigate the log-concavity of Tn[1]}n ≥ 1 and the log-balancedness of some sequences involving Tn[1] . In addition, we discuss the monotonicity of some sequences related to Tn[1] .

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Published

2017-01-02

How to Cite

Zhao, F.-Z. (2017). The Log-Behavior of the Partial Sum for the Tribonacci Numbers. The Journal of the Indian Mathematical Society, 84(1-2), 143–149. https://doi.org/10.18311/jims/2017/6115

Issue

Volume 84, Issue 1-2, January-June 2017

Section

Articles

License

Copyright (c) 2017 Feng-Zhen Zhao

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Europe PMC
Received 2016-06-10
Accepted 2016-08-22
Published 2017-01-02

 

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