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Log-balanced combinatorial sequences

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  • Tomislav DoÅ¡lic

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.

Suggested Citation

  • Tomislav DoÅ¡lic, 2005. "Log-balanced combinatorial sequences," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2005, pages 1-16, January.
    • Handle: RePEc:hin:jijmms:741952
    DOI: 10.1155/IJMMS.2005.507
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