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A note on Mersenne Padovan and Perrin numbers [PDF]

open access: yesNotes 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   +2 more
openaire   +1 more source

Matrix Sequences in terms of Padovan and Perrin Numbers [PDF]

open access: yesJournal of Applied Mathematics, 2013
The first main idea of this paper is to develop thematrix sequencesthat represent Padovan and Perrin numbers. Then, by taking into account matrix properties of these new matrix sequences, some behaviours of Padovan and Perrin numbers will be investigated.
Nazmiye Yilmaz, Necati Taskara
openaire   +6 more sources

The Padovan-Padovan p-Sequences in Groups

open access: yes, 2020
Erdag and Deveci [13] defined the Padovan-Padovan p-sequence and they studied properties of this sequence. Then, Akuzum and Deveci [1] studied the Padovan-Padovan p-sequence modulo m .
Yesim Akuzum
core   +1 more source

Quadratic Approximation of Generalized Tribonacci Sequences

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2018
In this paper, we give quadratic approximation of generalized Tribonacci sequence {Vn}n≥0 defined by Vn = rVn−1 + sV n−2 + tV n−3 (n ≥ 3) and use this result to give the matrix form of the n-th power of a companion matrix of {Vn}n≥0. Then we re-prove the
Cerda-Morales Gamaliel
doaj   +1 more source

k-Fibonacci numbers which are Padovan or Perrin numbers

open access: yesIndian 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

Padovan and Perrin Hyperbolic Spinors [PDF]

open access: yes
In this study, we intend to bring together Padovan and Perrin number sequences, which are one of the most popular third-order recurrence sequences, and hyperbolic spinors, which are used in several disciplines from physics to mathematics, with the help ...
İşbilir, Zehra   +2 more
core   +4 more sources

Exact Determinants of Some Special Circulant Matrices Involving Four Kinds of Famous Numbers

open access: yesAbstract and Applied Analysis, 2014
Circulant matrix family is used for modeling many problems arising in solving various differential equations. The RSFPLR circulant matrices and RSLPFL circulant matrices are two special circulant matrices.
Xiaoyu Jiang, Kicheon Hong
doaj   +1 more source

Between Looking and Making: Unravelling Dom Hans van der Laan’s Plastic Number

open access: yesArchitectural Histories, 2016
Between 1920 and 1991, the Dutch Benedictine monk and architect Dom Hans van der Laan (1904–91) developed his own proportional system based on the ratio 3:4, or the irrational number 1.3247. . ., which he called the plastic number. According to him, this
Caroline Voet
doaj   +1 more source

Properties of Padovan Sequence

open access: yes, 2021
Among several types of famous sequences that exist in all branches of mathematics, Padovan sequence is one of such sequences possessing amusing properties.
Sivaraman, Dr. R.
core  

Inferring Io's Internal Properties by Combining Gravity Measurements and Volcanic Activity

open access: yesJournal of Geophysical Research: Planets, Volume 131, Issue 9, September 2026.
Abstract With its extreme geological activity, Io represents an archetype for tidally heated exoplanets/moons and provides insight into early stages of terrestrial planet evolution. Decades of ground‐based observations and multiple space missions have refined our understanding of Io, yet it remains debated where inside Io the tidal heating takes place.
A. Veenstra   +2 more
wiley   +1 more source

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