Open Access
2016 Log-concavity of the Fennessey-Larcombe-French Sequence
Arthur L.B. Yang, James J.Y. Zhao
Taiwanese J. Math. 20(5): 993-999 (2016). DOI: 10.11650/tjm.20.2016.6770

Abstract

We prove the log-concavity of the Fennessey-Larcombe-French sequence based on its three-term recurrence relation, which was recently conjectured by Zhao. The key ingredient of our approach is a sufficient condition for log-concavity of a sequence subject to certain three-term recurrence.

Citation

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Arthur L.B. Yang. James J.Y. Zhao. "Log-concavity of the Fennessey-Larcombe-French Sequence." Taiwanese J. Math. 20 (5) 993 - 999, 2016. https://doi.org/10.11650/tjm.20.2016.6770

Information

Published: 2016
First available in Project Euclid: 1 July 2017

zbMATH: 1357.05015
MathSciNet: MR3555884
Digital Object Identifier: 10.11650/tjm.20.2016.6770

Subjects:
Primary: 05A20

Keywords: Log-concavity , the Fennessey-Larcombe-French sequence , three-term recurrence

Rights: Copyright © 2016 The Mathematical Society of the Republic of China

Vol.20 • No. 5 • 2016
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