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Generalized sum of Pell Numbers [PDF]
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]
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
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
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
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
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
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]
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
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
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

