Two Problems on Narayana Numbers And Repeated Digit Numbers
G.Abou-Elela, A.Elsonbaty, and M. Anwar
TL;DR
This paper explores the relationship between Narayana numbers and repdigits, identifying which repdigits can be expressed as Narayana numbers and analyzing properties of products involving repdigits and Narayana numbers.
Contribution
It characterizes repdigits that are equal to Narayana numbers and investigates the properties of products of two repdigits with Narayana numbers.
Findings
Identified all repdigits that are Narayana numbers.
Proved conditions under which the product of two repdigits is a Narayana number.
Provided new insights into the structure of Narayana numbers and repdigits.
Abstract
In this paper, we find all repdigits which can be expressed as the product of a Narayana, and a product of two repdigits is Narayana.
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Taxonomy
TopicsAdvanced Mathematical Theories and Applications · Advanced Mathematical Theories · Advanced Mathematical Identities