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

DOI10.3336/gm.54.2.01zbMath1487.11033OpenAlexW2994739478MaRDI QIDQ5109013

G. K. Panda, Manasi K Sahukar

Publication date: 7 May 2020

Published in: Glasnik Matematicki (Search for Journal in Brave)

Full work available at URL: https://hrcak.srce.hr/229598

zbMATH Keywords

Brocard-Ramanujan equationbalancing-like and associated balancing-like sequencePell-like and associated Pell-like sequence

Mathematics Subject Classification ID

Counting solutions of Diophantine equations (11D45) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (2)

Exact divisibility by powers of the integers in the Lucas sequence of the first kind ⋮ Exact divisibility by powers of the integers in the Lucas sequences of the first and second kinds

Cites Work

• Diophantine equations with binary recurrences associated to the Brocard-Ramanujan problem
• On the Brocard-Ramanujan Diophantine equation \(n! + 1 = m^2\)
• Variations on the Brocard-Ramanujan equation
• Positive integer solutions of some Diophantine equations in terms of integer sequences
• Existence of primitive divisors of Lucas and Lehmer numbers
• FACTORIZATION OF FIBONACCI NUMBERS INTO PRODUCTS OF LUCAS NUMBERS AND RELATED RESULTS
• A Brocard-Ramanujan-type equation with Lucas and associated Lucas sequences
• On the Diophantine Equation mX 2 - nY 2 = ± 1
• On polynomial-factorial diophantine equations
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