Turkish Journal of Science
Journal license

Journal

Turkish Journal of Science


Volume
& Issue

Volume 10, Issue 3


Published
on

October 28, 2025


Pages

121-126


DOI

Article

On Repdigits as Product of Fibonacci and Narayana Numbers

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Authors

Zehra CELIK KARADENIZ Affiliation:
Department of Mathematics, Faculty of Science and Letters, Agrı Ibrahim Cecen University, Agrı-Turkiye


Abstract

We determine all repdigits (decimal numbers consisting of a single repeated digit) which can be written as the product of a Narayana number and a Fibonacci number. Using Binet-type expressions for both sequences, Matveev’s explicit lower bounds for linear forms in logarithms, and a Dujella–Petho˝ (Baker– Davenport type) reduction, we reduce the problem to a finite computation and perform an exhaustive search.


Keywords

Fibonacci numbers, Narayana numbers, Binet-type approximations.


Citation

Karadeniz, Z. C. (2025). On repdigits as product of fibonacci and narayana numbers. Turkish Journal of Science, 10(3), 121–126. https://doi.org/10.66833/TJOS-2025-0011

Published by: Engineering Journals

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