@article{Taher2024, 
author = {Hunar Sherzad Taher and Saroj Kumar Dash},
title = {Repdigits base  η as sum or product of Perrin and Padovan numbers},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {8},
pages = {20173-20192},
keywords = {exponential Diophantine equation, repdigit, linear forms in logarithms, Padovan numbers, Perrin numbers},
url = {https://www.sciopen.com/article/10.3934/math.2024983},
doi = {10.3934/math.2024983},
abstract = {Let  {En}n≥0 and  {Pn}n≥0 be sequences of Perrin and Padovan numbers, respectively. We have found all repdigits that can be written as the sum or product of  En and  Pm in the base  η, where  2≤η≤10 and  m≤n. In addition, we have applied the theory of linear forms in logarithms of algebraic numbers and Baker-Davenport reduction method in Diophantine approximation approaches.}
}