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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

Fulltext: english, pdf (162 KB) pages 255-270 downloads: 349* cite
APA 6th Edition
Sahukar, M.K. & Panda, G.K. (2019). Diophantine equations with balancing-like sequences associated to Brocard-Ramanujan-type problem. Glasnik matematički, 54 (2), 255-270. https://doi.org/10.3336/gm.54.2.01
MLA 8th Edition
Sahukar, Manasi Kumari and Gopal Krishna Panda. "Diophantine equations with balancing-like sequences associated to Brocard-Ramanujan-type problem." Glasnik matematički, vol. 54, no. 2, 2019, pp. 255-270. https://doi.org/10.3336/gm.54.2.01. Accessed 28 Nov. 2021.
Chicago 17th Edition
Sahukar, Manasi Kumari and Gopal Krishna Panda. "Diophantine equations with balancing-like sequences associated to Brocard-Ramanujan-type problem." Glasnik matematički 54, no. 2 (2019): 255-270. https://doi.org/10.3336/gm.54.2.01
Harvard
Sahukar, M.K., and Panda, G.K. (2019). 'Diophantine equations with balancing-like sequences associated to Brocard-Ramanujan-type problem', Glasnik matematički, 54(2), pp. 255-270. https://doi.org/10.3336/gm.54.2.01
Vancouver
Sahukar MK, Panda GK. Diophantine equations with balancing-like sequences associated to Brocard-Ramanujan-type problem. Glasnik matematički [Internet]. 2019 [cited 2021 November 28];54(2):255-270. https://doi.org/10.3336/gm.54.2.01
IEEE
M.K. Sahukar and G.K. Panda, "Diophantine equations with balancing-like sequences associated to Brocard-Ramanujan-type problem", Glasnik matematički, vol.54, no. 2, pp. 255-270, 2019. [Online]. https://doi.org/10.3336/gm.54.2.01

Abstracts
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
https://hrcak.srce.hr/229598

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