English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Let $\left\lbrace P_{k}\right\rbrace_{k\geq0}$ be the Padovan sequencedefined by $P_{k}=P_{k-2}+P_{k-3}$ with initial values are$P_{0}=P_{1}=P_{2}=1$. Let $\left\lbrace R_{k}\right\rbrace_{k\geq0}$ be thePerrin sequence defined by $R_{k}=R_{k-2}+R_{k-3}$ with initial values are$R_{0}=3$, $R_{1}=0$, $R_{2}=2$. And let $\left\lbraceJ_{n}\right\rbrace_{n\geq0}$ be the Jacobsthal sequence defined by$J_n=2J_{n-1}+J_{n-2}$ with initials $J_0=0$, $J_1=1$. In this paper wedetermine all Padovan and Perrin numbers which are sum of two Jacobsthalnumber.

Padovan and Perrin Numbers as Sums of Two Jacobsthal Numbers