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Generalized sum of Pell Numbers [PDF]

open access: yes, 2021
Here we are proposing a generalized sum for Pell numbers. This sum contains four Pell numbers. By means of this generalized sum, the Pell number at position (n+m) in the sequence is given by the Pell numbers at positions n, m, (n-1) and (m-1)
Sparavigna, Amelia Carolina   +1 more
core   +1 more source

Equations with arithmetic functions of Pell numbers [PDF]

open access: yes, 2014
Here, we prove some diophantine results about the Euler function of Pell numbers and their Pell-Lucas companion sequence. For example, if the Euler function of the nth Pell number Pn or Pell- Lucas companion number Qn is a power of 2, then n is greater ...
Luca, Florian, Stănică, Pantelimon
core   +2 more sources

From Probation to Partnership: Building Equitable Systems of Support in Community Colleges

open access: yesNew Directions for Community Colleges, EarlyView.
ABSTRACT Community colleges serve as critical gateways to higher education for diverse student populations, yet traditional academic probation systems often exacerbate inequities by penalizing students facing systemic and personal challenges. This practitioner–scholar case study examines Clark State College's Academic Engagement Program (AEP), an ...
Elecia V. Spain, Michael B.Key
wiley   +1 more source

Pell Leonardo numbers and their matrix representations

open access: yesJournal of New Results in Science
In this study, we investigate Pell numbers and Leonardo numbers and describe a new third-order number sequence entitled Pell Leonardo numbers. We then construct some identities, including the Binet formula, generating function, exponential generating ...
Çağla Çelemoğlu
doaj   +1 more source

Beyond the Classroom at Dallas College: Documenting a Framework for Student Parents’ College Success

open access: yesNew Directions for Community Colleges, EarlyView.
ABSTRACT Student parents make up a substantial share of community college enrollment, yet the support that exists is often dispersed across offices. In this article, we review and summarize research on the importance of student services for community college student parents.
Xiaodan Hu   +2 more
wiley   +1 more source

On Some Important Sequences and Their Relation with Pythagorean - Fermat Triples

open access: yesJournal of Advanced Engineering and Computation, 2022
This article introduces some important sequences and their connection with the hypotenuse of the Fermat family triangle with the NSW, Jha, and Pell sequences.
Shailesh A. Bhanotar
doaj   +1 more source

Governing Sponge City Transitions: Policy Objectives and Socio‐Technical Change

open access: yesEnvironmental Policy and Governance, EarlyView.
ABSTRACT In theory, climate adaptation policy cycles can be framed as being harmonized and goal‐oriented governance processes. Yet any examination of climate adaptation in cities reveals persistent tensions between this logic and the diverse forces shaping adaptation in practice.
Valentin Meilinger
wiley   +1 more source

On hyperbolic k-Pell quaternions sequences [PDF]

open access: yesAnnales Mathematicae et Informaticae, 2018
Summary: In this paper we introduce the hyperbolic $k$-Pell functions and new classes of quaternions associated with this type of functions are presented. In addition, the Binet formulas, generating functions and some properties of these functions and quaternions sequences are studied.
openaire   +4 more sources

A New Approach to k-Jacobsthal Lucas Sequences

open access: yesSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2021
In this study, 〖CS〗_(k,n) of S_(k,n) Catalan transformation of 𝑘−Jacobsthal-Lucas sequences is defined. S_(k,n) Catalan transformation of 𝑘−Jacobsthal-Lucas S_(k,n) sequences is obtained.In addition the transformation of CS_(k,n) is written as the ...
Hakan Akkuş   +2 more
doaj   +1 more source

Enhance food plant diversity conservation and use through greater coordination between genebanks and botanic gardens

open access: yesPLANTS, PEOPLE, PLANET, EarlyView.
Food plants are vital to human and planetary health, but their diversity is threatened, making food security, nutrition, and environmental goals more difficult to achieve. Food plant diversity conservation, research, and education can be enhanced through collaboration between sectors, including genebanks and botanic gardens, which possess complementary
Colin K. Khoury   +35 more
wiley   +1 more source

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