English

New Identities for Padovan Numbers

Combinatorics 2019-04-12 v1 Number Theory

Abstract

In \cite{Choi-Jo}, the am+bam+b (0b<a0\leq b<a) subscripted Tribonacci numbers are studied. This work is devoted to study a new generalization of Fibonacci numbers called Padovan numbers. In particular, the am+bam+b subscripted Padovan numbers will be expressed by three aa step apart Padovan numbers for any 0b<a0\leq b<a, where aZa\in \mathbb{Z}.

Cite

@article{arxiv.1904.05492,
  title  = {New Identities for Padovan Numbers},
  author = {Gamaliel Cerda-Morales},
  journal= {arXiv preprint arXiv:1904.05492},
  year   = {2019}
}
R2 v1 2026-06-23T08:36:13.152Z