English

On the Padovan sequence

Number Theory 2019-05-21 v1

Abstract

The aim of this article is to give some properties of the so-called Padovan sequence (Tn)n0(T_n)_{n \ge 0} defined by Tn+3=Tn+1+TnnN,T1=T2=T3=1 T_{n+3}=T_{n+1}+T_n \forall n \in \mathbb{N}, T_1=T_2=T_3=1 that is divisibility properties, periods, identities.

Keywords

Cite

@article{arxiv.1905.07702,
  title  = {On the Padovan sequence},
  author = {Alain Faisant},
  journal= {arXiv preprint arXiv:1905.07702},
  year   = {2019}
}
R2 v1 2026-06-23T09:11:52.764Z