English

Perrin numbers that are palindromic concatenations of two repdigits

Number Theory 2025-05-08 v1

Abstract

Let {Pn}n0 \{P_n\}_{n\geq 0} be the sequence of Perrin numbers defined by P0=3P_0=3, P1=0P_1=0,P2=2P_2=2 and Pn+3=Pn+1+PnP_{n+3}=P_{n+1}+P_{n} for all n0n \geq 0. In this paper, we determine all Perrin numbers that are palindromic concatenations of two repdigits.

Keywords

Cite

@article{arxiv.2408.10712,
  title  = {Perrin numbers that are palindromic concatenations of two repdigits},
  author = {Herbert Batte and Prosper Kaggwa},
  journal= {arXiv preprint arXiv:2408.10712},
  year   = {2025}
}

Comments

12 pages. arXiv admin note: substantial text overlap with arXiv:2401.05361