Results 71 to 80 of about 653 (169)
The matrix representations of Padovan and Perrin numbers [PDF]
, 2015 Son yıllarda bilim dünyasının ilgisini çeken, sanat ve mimari gibi birçok alanda karşımıza çıkan Fibonacci, Lucas, Pell, Padovan ve Perrin sayı dizileri ile ilgili çok çalışmalar vardır.
Yılmaz, Nazmiye
core
La Secuencia de Padovan y el número plástico: um análisis prévio ya priori [PDF]
, 2019 O presente trabalho apresenta as duas fases iniciais da Engenharia Didática com o tema envolvendo o estudo da Sequência de Padovan e o número plástico o qual foi objeto de estudo primordialmente por Richard Padovan (1935-?) e Gérard Cordonnier (1907 ...
Vieira, Renata Passos Machado +1 more
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An Encoding-Decoding algorithm based on Padovan numbers
CoRR, 2019 In this paper, we propose a new of coding/decoding algorithm using Padovan Q-matrices. This method is based on blocked message matrices. an advantage of this method is that the encryption of each message matrix will use a different key and that will increase the security of the method.
Jenan Shtayat, Alaa Al-Kateeb
openaire +2 more sources
Tiling Models for Palindromic and n‐Colored Compositions With 1 s and 3 s
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this work, we explore compositions of positive integers into parts consisting of 1 and 3 s, highlighting their close connection to the Narayana numbers. We also examine palindromic compositions of this type and introduce arithmetic functions that reflect their structural properties.
Orhan Dişkaya +5 more
wiley +1 more source
The complex-type k-Padovan sequences and their applications [PDF]
In this paper, we define the complex-type k-Padovan numbers and then give the relationships between the 1,k-1-bonacci numbers, the k -Padovan numbers and the complex-type k-Padovan numbers by matrix method.
Shannon, AG +3 more
core +1 more source
On the $x$--coordinates of Pell equations that are products of two Padovan numbers [PDF]
, 2020 Let $ \{P_{n}\}_{n\geq 0} $ be the sequence of Padovan numbers defined by $ P_0=0 $, $ P_1 = P_2=1$, and $ P_{n+3}= P_{n+1} +P_n$ for all $ n\geq 0 $. In this paper, we find all positive square-free integers $ d \ge 2$ such that the Pell equations $ x^2-
Ddamulira, Mahadi
core
Polar Motion Dynamics on Slow‐Rotating Venus: Signatures of Mantle Flow
AGU Advances, Volume 6, Issue 6, December 2025.Abstract With its 1 day lasting 243 days on Earth, Venus is the slowest‐spinning planet in the Solar System and its rotational bulge is anomalously small. A rotational bulge stabilizes the orientation of planets. Having only a tiny stabilizer, the rotational pole of Venus has been expected to separate from the figure pole in response to mantle flow ...
Vojtěch Patočka +2 more
wiley +1 more source
The X -coordinates of Pell equations and Padovan numbers
TURKISH JOURNAL OF MATHEMATICS, 2019 Summary: In this paper, we show that there is at most one value of the positive integer \(X\) participating in the Pell equation \(X^2-dY^2=k\), where \(k\in\{\pm1,\pm4\}\), which is a Padovan number, with a few exceptions that we completely characterize.
Salah Eddine RIHANE +2 more
openaire +2 more sources
Journal of Geophysical Research: Planets, Volume 130, Issue 12, December 2025.Abstract NASA's MErcury Surface, Space ENvironment, GEochemistry, and Ranging mission has revealed that about 27% of the surface of Mercury is covered by smooth plains, which are mostly volcanic in origin. These plains are mainly located in the northern hemisphere, as well as within and around major impact basins.
E. Caminiti +3 more
wiley +1 more source
The Impact of a Long‐Lived Basal Magma Ocean on the Thermochemical Evolution of Mars
Journal of Geophysical Research: Planets, Volume 130, Issue 11, November 2025.Abstract A basal magma ocean (BMO) has been suggested to form as a consequence of cumulate overturn following crystallization of an initial global magma ocean. As a consequence of enrichment in iron and heat‐producing elements (HPE), the BMO stabilizes gravitationally at the base of the planetary mantle, affecting the efficiency of mantle convection ...
Kar Wai Cheng +3 more
wiley +1 more source