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A note on Mersenne Padovan and Perrin numbers [PDF]

Notes on Number Theory and Discrete Mathematics, 2021
In this paper, we determine all the Mersenne numbers which are in the sequences of Padovan and Perrin numbers, respectively.
Bir Kafle, Salah Eddine Rihane, Alain Togbé   +2 more
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On the intersection of Padovan, Perrin sequences and Pell, Pell-Lucas sequences [PDF]

, 2021
In this paper, we find all the Padovan and Perrin numbers which are Pell or Pell-Lucas ...
Rihane, Salah Eddine, Togbé, Alain
core   +4 more sources

Gaussian Padovan and Gaussian Perrin numbers and properties of them [PDF]

, 2019
In this paper, the Gaussian Padovan and Gaussian Perrin numbers are defined. Then Binet formula and generating functions of these numbers are given. Also, some summation identities for Gaussian Padovan and Gaussian Perrin numbers are obtained by using ...
Kartal, Meral Yasar
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Padovan and Perrin numbers of the form 7ᵗ-5ᶻ-3ʸ-2ˣ [PDF]

Notes on Number Theory and Discrete Mathematics
Consider the Padovan sequence (pₙ)ₙ≥₀ given by pₙ₊₃=pₙ₊₁+pₙ with p₀=p₁=p₂=1. Its companion sequence, the Perrin sequence (℘ₙ)ₙ≥₀, follows the same recursive formula as the Padovan numbers, but with different initial values: p₀=3, p₁=0 and p₂=2.
Djamel Bellaouar, Özen Özer, Noureddine Azzouza   +2 more
doaj   +1 more source

Avoiding patterns in irreducible permutations [PDF]

Discrete Mathematics & Theoretical Computer Science, 2016
We explore the classical pattern avoidance question in the case of irreducible permutations, i.e., those in which there is no index $i$ such that $\sigma (i+1) - \sigma (i)=1$.
Jean-Luc Baril
doaj   +1 more source

k-Fibonacci numbers which are Padovan or Perrin numbers

Indian Journal of Pure and Applied Mathematics, 2022
Let \( \{P_m\}_{m\ge 0} \) be the sequence of Padovan numbers defined by the linear recurrence: \( P_0=P_1=P_2=1 \), and \( P_{m+3}=P_{m+1}+P_m \) for all \( m\ge 0 \). Also, let \( \{E_m\}_{m\ge 0} \) be the sequence of Perrin numbers defined by the linear recurrence: \( E_0=3,~E_1=0,~E_2=2 \), and \( E_{m+3}=E_{m+1}+E_m \) for all \( m\ge 0 ...
Salah Eddine Rihane, Alain Togbé
openaire   +1 more source

Hyperbolic Padovan Sequences [PDF]

, 2021
In this study, we define thehyperbolic Padovan numbers and we obtain recurrence relations and the summationformulas for these numbers. Firstly, wepresent some background information about Hyperbolic numbers and Padovannumbers.
Taş, Sait
core  

BAZI FARK DENKLEMLERİNİN AYARLANMIŞ JACOBSTHAL-PADOVAN SAYILARI İLE İLİŞKİLİ TAM ÇÖZÜMLERİ [PDF]

, 2022
In this paper, we obtain the form of the solutions of some rational difference equations via adjusted Jacobsthal-Padovan numbers. We find a relation between the exact solutions and the adjusted Jacobsthal-Padovan numbers.
Melih GÖCEN
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Powers of Two as Sums of Two Padovan Numbers

Integers, 2018
See the abstract in the attached pdf.
Ana Cecilia García Lomelí, Santos Hernández Hernández   +1 more
openaire   +3 more sources

A Study on Generalized Blaise Numbers [PDF]

, 2023
In this paper, we introduce and investigate the generalized Blaise sequences and we deal with, in detail, two special cases, namely, Blaise and Blaise-Lucas sequences.
Soykan, Yüksel
core   +1 more source