Glasnik Matematicki, Vol. 56, No. 1 (2021), 29-46.

K-GENERALIZED FIBONACCI NUMBERS WHICH ARE CONCATENATIONS OF TWO REPDIGITS

Adel Alahmadi, Alaa Altassan, Florian Luca and Hatoon Shoaib

Research Group in Algebraic Structures and Applications, King Abdulaziz University, Jeddah, Saudi Arabia
e-mail: analahmadi@kau.edu.sa
e-mail: aaltassan@kau.edu.sa

School of Mathematics, University of the Witwatersrand, Private Bag X3, Wits 2050, Johannesburg, South Africa,
and
Research Group in Algebraic Structures and Applications, King Abdulaziz University, Jeddah, Saudi Arabia,
and
Centro de Ciencias Matemáticas, UNAM, Morelia, Mexico
e-mail: florian.luca@wits.ac.za

Research Group in Algebraic Structures and Applications, King Abdulaziz University, Jeddah, Saudi Arabia
e-mail: hashoaib@kau.edu.sa

Abstract.   We show that the k-generalized Fibonacci numbers that are concatenations of two repdigits have at most four digits.

2010 Mathematics Subject Classification.   11A25, 11B39, 11J86

Key words and phrases.   k-Fibonacci numbers, applications of Baker's method, digits

Full text (PDF) (access from subscribing institutions only)

https://doi.org/10.3336/gm.56.1.03

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