Turkish Journal of Science
Journal license

Journal

Turkish Journal of Science


Volume
& Issue

Volume 8, Issue 3


Published
on

November 25, 2023


Pages

102-106


DOI

Article

On Repdigits as Product of Pell and Narayana Numbers

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Authors

Abdullah CAGMAN Affiliation:
Department of Mathematics, Erzurum Technical University Erzurum, Turkey


Abstract

In this paper, we examine the solution of a Diophantine equation involving two integer se- quences. More specifically, we find all repdigits (i.e., numbers with only one repeating digit in the decimal expansion) that can be written as a product of Pell number and a Narayana number. Our approach to solving this problem is to combine Baker theory with the theory of continued fractions.


Keywords

Repdigit, Narayana numbers, Pell numbers, Diophantine equation, Baker’s theory.


Citation

Cagman, A. (2023). On repdigits as product of pell and narayana numbers. Turkish Journal of Science, 8(3), 102–106. https://doi.org/10.66833/TJOS-2023-0011

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