Results 21 to 30 of about 8,607,312 (168)

A Study on Generalized Jacobsthal-Padovan Numbers

Earthline Journal of Mathematical Sciences, 2020
In this paper, we investigate the generalized Jacobsthal-Padovan sequences and we deal with, in detail, four special cases, namely, Jacobsthal-Padovan, Jacobsthal-Perrin, adjusted Jacobsthal-Padovan and modified Jacobsthal-Padovan sequences. We present Binet’s formulas, generating functions, Simson formulas, and the summation formulas for these ...
Yüksel Soykan
openaire   +3 more sources

Exploring Cognitive and Affective Outcomes Following Bilateral 6-Hydroxydopamine Lesions of the Substance Nigra or Striatum in Rats. [PDF]

J Neurosci Res
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 ...
de Mattos BA, Del Bel E, Milani H, de Oliveira RMW, Bonato JM.   +4 more
europepmc   +2 more sources

Padovan Numbers as Sum of Two Repdigits

Proceedings of the Bulgarian Academy of Sciences, 2023
Padovan sequence $$(P_{n})$$ is given by $$P_{n}=P_{n-2}+P_{n-3}$$ for $$n\geq3$$ with initial condition $$(P_{0},P_{1},P_{2})=(1,1,1)$$. A positive integer is called a repdigit if all of its digits are equal. In this study, we examine the terms of the Padovan sequence, which are the sum of two repdigits.
Duman, Merve Güney, Keskin, Refik, Hocaoglu, Leman, Duman, Merve Güney, 0000-0002-6340-4817, Fakülteler, Teknoloji Fakültesi, Mühendislik Temel Bilimleri Bölümü   +5 more
openaire   +1 more source

Determinant identities for toeplitz-hessenberg matrices with tribonacci entries [PDF]

Transactions on Combinatorics, 2020
In this paper‎, ‎we evaluate determinants of some families of Toeplitz--Hessenberg matrices having tribonacci number entries‎. ‎These determinant formulas may also be expressed equivalently as identities that involve sums of products of multinomial ...
Taras Goy, Mark Shattuck
doaj   +1 more source

Compositions of positive integers with 2s and 3s

Demonstratio Mathematica, 2023
In this article, we consider compositions of positive integers with 2s and 3s. We see that these compositions lead us to results that involve Padovan numbers, and we give some tiling models of these compositions.
Dişkaya Orhan, Menken Hamza
doaj   +1 more source

A combined approach to Perrin and Padovan hybrid sequences

Heliyon, 2021
Recently, there has been huge interest to a new numeric set, which brings together three numerical systems: complex, hyperbolic and dual numbers, called as hybrid number.
Seyyed H. Jafari Petroudi, Maryam Pirouz, Emel Karaca, Fatih Yılmaz   +3 more
doaj   +1 more source

Striatal Nitric Oxide Activity Better Predicts Motor Disability Than Proto-Oncogenes. [PDF]

Eur J Neurosci
The figure summarizes the experimental design in which mice received a single intraperitoneal injection of saline, haloperidol, metoclopramide, or L‐NOARG at different doses. Extrapyramidal (EPS) side effects were assessed using the catalepsy test and the Rota‐rod test.
Prieto SG, Torres da Silva VRC, Almeida MC, Echeverry MB.   +3 more
europepmc   +2 more sources

Padovan, Perrin and Pell-Padovan Dual Quaternions [PDF]

, 2023
In this present study, we intend to determine the Padovan, Perrin and Pell-Padovan dual quaternions with nonnegative and negative subscripts. In line with this purpose, we construct some new properties such as; special determinant equalities, new ...
İŞBİLİR, ZEHRA, Zehra İŞBİLİR, GÜRSES, Nurten, Nurten GÜRSES   +3 more
core   +2 more sources

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, Francisco Regis Vieira Alves, Paula Maria Machado Cruz Catarino   +2 more
doaj   +1 more source

Pell-Padovan generalized quaternions [PDF]

, 2021
The aim of this article is to introduce Pell-Padovan generalized quaternions. It also derives new properties associated with these and takes into account negative indices. Additionally, it presents generating function, Binet-like formula, Simson formula,
Isbilir, Zehra, Gurses, Nurten
core   +1 more source