Geodesic
On the log-concavity of the hyperfibonacci numbers and the hyperlucas numbers
Journal of integer sequences, Tome 17 (2014) no. 1
In this paper, we discuss the properties of the hyperfibonacci numbers $F\_{n}$^[] and hyperlucas numbers _^[r]. We investigate the log-concavity (log-convexity) of hyperfibonacci numbers and hyperlucas numbers. For example, we prove that ${F\_{n}^$[r]_n ge1 is log-concave. In addition, we also study the log-concavity (log-convexity) of generalized hyperfibonacci numbers and hyperlucas numbers.
Keywords: log-convexity, log-concavity, Fibonacci number, Lucas number 
@article{JIS_2014__17_1_a5,
     author = {Zheng,  Li-Na and Liu,  Rui and Zhao,  Feng-Zhen},
     title = {On the log-concavity of the hyperfibonacci numbers and the hyperlucas numbers},
     journal = {Journal of integer sequences},
     year = {2014},
     volume = {17},
     number = {1},
     zbl = {1285.05014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2014__17_1_a5/}
}
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Zheng,  Li-Na; Liu,  Rui; Zhao,  Feng-Zhen. On the log-concavity of the hyperfibonacci numbers and the hyperlucas numbers. Journal of integer sequences, Tome 17 (2014) no. 1. http://geodesic.mathdoc.fr/item/JIS_2014__17_1_a5/