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

Published 22 Mar 2013 in math.CO | (1303.5595v2)

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.

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