Proofs of some conjectures on monotonicity of number-theoretic and combinatorial sequences
Combinatorics
2015-06-15 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1303.5595,
title = {Proofs of some conjectures on monotonicity of number-theoretic and combinatorial sequences},
author = {Yi Wang and Bao-Xuan Zhu},
journal= {arXiv preprint arXiv:1303.5595},
year = {2015}
}
Comments
revised Theorem 2.1 (iii), 10 pages