Results 51 to 60 of about 1,194,375 (170)
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
core +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
The Representation and Finite Sums of the Padovan-p Jacobsthal Numbers
, 2021 In this paper, we regard the Padovan-p Jacobsthal sequence and then we discuss the connection of the Padovan-p Jacobsthal numbers and Jacobsthal numbers. Furthermore, we give the permanental, determinantal, combinatorial, and exponential representations,
Omur Deveci, Ozgur Erdag
core +1 more source
A Historical Analysis of The Padovan Sequence
International Journal of Trends in Mathematics Education Research, 2020 In the present text, we present some possibilities to formalize the mathematical content and a historical context, referring to a numerical sequence of linear and recurrent form, known as Sequence of Padovan or Cordonnier.
Renata Passos Machado Vieira +2 more
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
Powers of Two as Sums of Two Padovan Numbers
Integers, 2018 See the abstract in the attached pdf.
Ana Cecilia García Lomelí +1 more
openaire +3 more sources
Journal of Neuroscience Research, Volume 104, Issue 9, September 2026.Our results demonstrate massive degeneration of tyrosine hydroxylase‐immunoreactive neurons was observed in the SNpc, striatum, and ventral tegmental area with 6‐OHDA infusions in either the SNpc or striatum. Rats administered 6‐OHDA to the SNpc exhibited cognitive impairments, anxiety‐like behaviors, and impacted the maturation of newborn hippocampal ...
Bianca Andretto de Mattos +4 more
wiley +1 more source
Inferring Io's Internal Properties by Combining Gravity Measurements and Volcanic Activity
Journal 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
On Matrix‐Based Cryptography Using Matrix Norm and Special Integer Sequences
Mathematische Nachrichten, Volume 299, Issue 8, Page 2087-2102, August 2026.ABSTRACT In this paper, a novel matrix‐based encryption approach based on the Affine Hill cipher is presented. The key matrix is constructed using the Narayana integer sequence, and the Frobenius norm of the key matrix is used as a scaling factor in the key construction.
Melih Göcen +1 more
wiley +1 more source
Novelty for the flora of Espírito Santo, Brazil: a new species of Ouratea Aubl. (Ochnaceae)
Nordic Journal of Botany, Volume 2026, Issue 8, August 2026.Here, we describe and illustrate the new species Ouratea oberdanii Fraga & Deccache, which is named after Dr Oberdan José Pereira. This new species is found in the mountainous regions of the evergreen Atlantic Forest in the Brazilian state of Espírito Santo. Ouratea oberdanii is similar to O. linearis (A.Gray) Sastre & Offroy and O.
Lara Serpa Jaegge Deccache +4 more
wiley +1 more source