Article
On Repdigits as Product of Pell and Narayana Numbers
Authors
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
A. Cagman, “On repdigits as product of pell and narayana numbers,” Turkish Journal of Science, vol. 8, no. 3, pp. 102–106, 2023, doi: 10.66833/TJOS-2023-0011.
Cagman A. On repdigits as product of pell and narayana numbers. Turkish Journal of Science. 2023;8(3):102–106. doi:10.66833/TJOS-2023-0011.
Cagman, A. (2023), ‘On repdigits as product of pell and narayana numbers’, Turkish Journal of Science, 8(3), pp. 102–106. Available at: https://doi.org/10.66833/TJOS-2023-0011.
Cagman, Abdullah. “On Repdigits as Product of Pell and Narayana Numbers.” Turkish Journal of Science, vol. 8, no. 3, 2023, pp. 102–106. https://doi.org/10.66833/TJOS-2023-0011.
Cagman, Abdullah. “On Repdigits as Product of Pell and Narayana Numbers.” Turkish Journal of Science 8, no. 3 (2023): 102–106. https://doi.org/10.66833/TJOS-2023-0011.
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Published by: Engineering Journals


