Glasnik Matematicki, Vol. 54, No. 2 (2019), 255-270.

DIOPHANTINE EQUATIONS WITH BALANCING-LIKE SEQUENCES ASSOCIATED TO BROCARD-RAMANUJAN-TYPE PROBLEM

Manasi Kumari Sahukar and Gopal Krishna Panda

Department of Mathematics, National Institute of Technology Rourkela, Odisha, India
e-mail: manasi.sahukar@gmail.com
e-mail: gkpanda_nit@rediffmail.com

Abstract.   In this paper, we deal with the Brocard-Ramanujan-type equations An1An2 ⋯ Ank± 1=Am or Gm or Gm2 where {An}n≥0 and {Gm}m≥0 are either balancing-like sequences or associated balancing-like sequences.

2010 Mathematics Subject Classification.   11D45, 11B39

Key words and phrases.   Brocard-Ramanujan equation, Balancing-like and associated balancing-like sequence, Pell-like and associated Pell-like sequence

Full text (PDF) (free access)

https://doi.org/10.3336/gm.54.2.01

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