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Log-balanced combinatorial sequences

Tomislav Došlić
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Abstract

We consider log-convex sequences that satisfy an additional constraint imposed on their rate of growth. We call such sequences log-balanced. It is shown that all such sequences satisfy a pair of double inequalities. Sufficient conditions for log-balancedness are given for the case when the sequence satisfies a two- (or more-) term linear recurrence. It is shown that many combinatorially interesting sequences belong to this class, and, as a consequence, that the above-mentioned double inequalities are valid for all of them.

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Tomislav Došlić. 2006-03-16. Log-balanced combinatorial sequences. https://doi.org/10.1155/ijmms.2005.507

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