Journal of Integer Sequences, Vol. 21 (2018), Article 18.5.7

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


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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