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-  2019 

Diophantine equations with balancing-like sequences associated to Brocard-Ramanujan-type problem

DOI: 10.3336/gm.54.2.01

Keywords: Brocard-Ramanujan equation, Balancing-like and associated balancing-like sequence, Pell-like and associated Pell-like sequence

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Abstract:

Sa?etak In this paper, we deal with the Brocard-Ramanujan-type equations \(A_{n_1}A_{n_2}\cdots A_{n_k}\pm 1=A_m\) or \(G_m\) or \(G_m^2\) where \(\{A_n\}_{n\geq0}\) and \(\{G_m\}_{m\geq 0}\) are either balancing-like sequences or associated balancing-like sequences

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