Pell and Pell-Lucas numbers as difference of two repdigits

• Published in: arXiv.org
• Main Authors: Edjeou, Bilizimbeye, Faye, Bernadette
• Format: Paper
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 12.10.2023

Let \( \{P_{n}\}_{n\geq 0} \) be the sequence of Pell numbers defined by \( P_0=0 \), \( P_1 =1\) and \( P_{n+2}= 2P_{n+1} +P_n\) for all \( n\geq 0 \) and let \( \{Q_{n}\}_{n\geq 0} \) be its companion sequence, the Pell-Lucas numbers defined by \( Q_0=Q_1 =2\) and \( Q_{n+2}= 2Q_{n+1} +Q_n\) for a...