Congruences for certain families of Apéry-like sequences

Sun, Zhi-Hong

Czechoslovak Mathematical Journal, Tome 72 (2022) no. 3, pp. 875-912

Abstract (VO)

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.

Détail

DOI : 10.21136/CMJ.2022.0224-21

Classification : 05A10, 05A19, 11A07, 11B68, 11E25
Keywords: Apéry-like number; congruence; combinatorial identity; Bernoulli polynomial; binary quadratic form

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