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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