New Identities for Padovan Numbers

Gamaliel Cerda-Morales

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arXiv · 1904.05492

New Identities for Padovan Numbers

Gamaliel Cerda-Morales

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Abstract

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

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BibTeX RIS

Gamaliel Cerda-Morales. 2019-04-11. New Identities for Padovan Numbers. https://arxiv.org/abs/1904.05492

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