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Abstract
Let $ (P_{n})_{n\ge 0} $ be the sequence of Padovan numbers defined by $ P_0=0 $, $ P_1 =1=P_2$, and $ P_{n+3}= P_{n+1} +P_n$ for all $ n\ge 0 $. In this paper, we find all Padovan numbers that are concatenations of two distinct repdigits.
Padovan numbers that are concatenations of two distinct repdigits
31 May 2020, Version 2
Working Paper
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This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.
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Now Published
Padovan numbers that are concatenations of two distinct repdigits [opens in a new tab]
Mahadi Ddamulira journal article
Mathematica Slovaca , Volume 71, Issue 2
Online publication date: Apr 14, 2021
Version History
May 31, 2020 Version 2
Version Notes
Corrections are made on some estimates and the minimal polynomial of the characteristic equation of the Padovan sequence.
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Funding
Austrian Science Fund
F05510-N26
Austrian Science Fund
W1230
Author’s competing interest statement
The author(s) have declared they have no conflict of interest with regard
to this content