Glasnik matematički, Vol. 54 No. 2, 2019.
Original scientific paper
https://doi.org/10.3336/gm.54.2.01
Diophantine equations with balancing-like sequences associated to Brocard-Ramanujan-type problem
Manasi Kumari Sahukar
; Department of Mathematics, National Institute of Technology Rourkela, Odisha, India
Gopal Krishna Panda
; Department of Mathematics, National Institute of Technology Rourkela, Odisha, India
Abstract
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.
Keywords
Brocard-Ramanujan equation; Balancing-like and associated balancing-like sequence; Pell-like and associated Pell-like sequence
Hrčak ID:
229598
URI
Publication date:
11.12.2019.
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