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
Authors
Abdullah CAGMAN
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.