Czechoslovak Mathematical Journal, Vol. 72, No. 3, pp. 875-912, 2022


Congruences for certain families of Apéry-like sequences

Zhi-Hong Sun

Received June 20, 2021.   Published online May 6, 2022.

Abstract:  We systematically investigate the expressions and congruences for both a one-parameter family $\{G_n(x)\}$ as well as a two-parameter family $\{G_n(r,m)\}$ of sequences.
Keywords:  Apéry-like number; congruence; combinatorial identity; Bernoulli polynomial; binary quadratic form
Classification MSC:  05A10, 05A19, 11A07, 11B68, 11E25


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Affiliations:   Zhi-Hong Sun, School of Mathematics and Statistics, Huaiyin Normal University, Huaian, Jiangsu 223300, P. R. China, e-mail: zhsun@hytc.edu.cn


 
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