Abstract
Let \(\{U_n\}_{n\ge 0}\) and \(\{V_n\}_{n\ge 0}\) denote the sequence of ordinary ménage numbers and the sequence of straight ménage numbers respectively. In this paper, we mainly study the log-behavior of \(\{U_n\}_{n\ge 3}\) and \(\{V_n\}_{n\ge 2}\). We prove that \(\{U_n\}_{n\ge 6}\) and \(\{V_n\}_{n\ge 6}\) are log-balanced. In addition, we discuss the log-behavior of some sequences involving \(U_n\) (\(V_n\)).
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Gu, YX., Zhao, FZ. The Log-Behavior of Ménage Numbers. Results Math 76, 160 (2021). https://doi.org/10.1007/s00025-021-01468-5
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DOI: https://doi.org/10.1007/s00025-021-01468-5