English

Padovan numbers that are concatenations of two distinct repdigits

Number Theory 2020-06-22 v2

Abstract

Let (Pn)n0 (P_{n})_{n\ge 0} be the sequence of Padovan numbers defined by P0=0 P_0=0 , P1=1=P2 P_1 =1=P_2, and Pn+3=Pn+1+Pn P_{n+3}= P_{n+1} +P_n for all n0 n\ge 0 . In this paper, we find all Padovan numbers that are concatenations of two distinct repdigits.

Keywords

Cite

@article{arxiv.2003.10705,
  title  = {Padovan numbers that are concatenations of two distinct repdigits},
  author = {Mahadi Ddamulira},
  journal= {arXiv preprint arXiv:2003.10705},
  year   = {2020}
}

Comments

Accepted manuscript. 9 pages