Journal of Integer Sequences, Vol. 19 (2016), Article 16.6.8

Some Sufficient Conditions for the Log-Balancedness of Combinatorial Sequences


Ting-Ting Zhang
Department of Mathematics
Shanghai University
Shanghai 200444
P. R. China

Feng-Zhen Zhao
Department of Mathematics
Shanghai University
Shanghai 200444
P. R. China

Abstract:

In this paper, we give some new sufficient conditions for log-balancedness of combinatorial sequences. In particular, we show that the product of two log-convex sequences is log-balanced under a mild condition. Then, we apply this result to a series of special combinatorial sequences. In addition, we show some results by using the definition of log-balancedness directly.


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(Concerned with sequences A000032 A000045 A000108 A000957 A001006 A005773.)


Received May 9 2016; revised versions received May 11 2016; June 22 2016; July 7 2016. Published in Journal of Integer Sequences, August 29 2016.


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