Article
On Repdigits as Product of Fibonacci and Narayana Numbers
Authors
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
Z. C. Karadeniz, “On repdigits as product of fibonacci and narayana numbers,” Turkish Journal of Science, vol. 10, no. 3, pp. 121–126, 2025, doi: 10.66833/TJOS-2025-0011.
Karadeniz ZC. On repdigits as product of fibonacci and narayana numbers. Turkish Journal of Science. 2025;10(3):121–126. doi:10.66833/TJOS-2025-0011.
Karadeniz, Z. C. (2025), ‘On repdigits as product of fibonacci and narayana numbers’, Turkish Journal of Science, 10(3), pp. 121–126. Available at: https://doi.org/10.66833/TJOS-2025-0011.
Karadeniz, Zehra CELIK. “On Repdigits as Product of Fibonacci and Narayana Numbers.” Turkish Journal of Science, vol. 10, no. 3, 2025, pp. 121–126. https://doi.org/10.66833/TJOS-2025-0011.
Karadeniz, Zehra CELIK. “On Repdigits as Product of Fibonacci and Narayana Numbers.” Turkish Journal of Science 10, no. 3 (2025): 121–126. https://doi.org/10.66833/TJOS-2025-0011.
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Published by: Engineering Journals


