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arXiv:1303.5595 [math.CO]AbstractReferencesReviewsResources

Proofs of some conjectures on monotonicity of number-theoretic and combinatorial sequences

Yi Wang, Bao-Xuan Zhu

Published 2013-03-22, updated 2013-03-25Version 2

We develop techniques to deal with monotonicity of sequences z_{n+1}/z_n and \sqrt[n]{z_n}. A series of conjectures of Zhi-Wei Sun and of Amdeberhan et al. are verified in certain unified approaches.

Comments: revised Theorem 2.1 (iii), 10 pages
Categories: math.CO
Subjects: 05A20, 05A10, 11B83
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