New Sufficient Conditions for Log-Balancedness, With Applications to Combinatorial Sequences
Rui-Li Liu and Feng-Zhen Zhao
Department of Mathematics
Shanghai University
Shanghai 200444
P. R. China
Abstract:
In this paper, we mainly study the log-balancedness of combinatorial
sequences. We first give some new sufficient conditions for
log-balancedness of some kinds of sequences. Then we use these results
to derive the log-balancedness of a number of log-convex sequences
related to derangement numbers, Domb numbers, numbers of tree-like
polyhexes, numbers of walks on the cubic lattice, and so on.
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(Concerned with sequences
A000166
A000681
A001205
A001499
A002135
A002137
A002212
A002895
A005189
A005572
A006595.)
Received December 9 2017; revised versions received March 16 2018; June 3 2018; June 27 2018.
Published in Journal of Integer Sequences, June 29 2018.
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