Results 111 to 120 of about 21,260 (290)

A Brocard-Ramanujan-type equation with Lucas and associated Lucas sequences

open access: yes, 2017
This paper deals with a Brocard-Ramanujan-type equation of the form un1un2 ⋯ unk+1=um2 in unknown nonnegative integers k,n1,n2, …,nk and m with k≥ 1, where u=(un)n=0∞ is either a Lucas sequence or its associated sequence.
Istvan Pink   +3 more
core   +1 more source

SOME CONNECTIONS BETWEEN THE SMARANDACHE FUNCTION AND THE FIBONACCI SEQUENCE [PDF]

open access: yes, 2013
This paper is aimed to provide generalizations of the Smarandache function. They will be constructed by means of sequences more general than the sequence of the factorials.
Dunutrescu, C., Rocsoreanu, C.
core   +1 more source

The Politics of Framing the Student Problem: Inquiries Into Australian Civics Education, 2006–2024

open access: yesAustralian Journal of Social Issues, EarlyView.
ABSTRACT Recurring debates about civics, the kinds of history that should, and should not, be taught in school, and ‘standards debates’ about the ‘basics’ typically follow on the heels of recurring moral panics about the ‘declining’ state of ‘our’ education system.
Patrick O'Keeffe   +2 more
wiley   +1 more source

AI‐Driven Mapping of Seizure Spread Patterns

open access: yesAnnals of Neurology, EarlyView.
Objective The focus of epilepsy research has largely been on seizure onset; however, physicians typically examine the patterns of seizure spread past seizure onset as well. This study aims to align automated seizure analysis with clinical practice, leverage deep learning to standardize seizure annotations that varies among physicians, and understand ...
Andrew Y. Revell   +13 more
wiley   +1 more source

Some Sums Formulae for Products of Terms of Pell, Pell-Lucas and Modified Pell Sequences

open access: yesSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2011
We derive some sums formulae for certain products of terms the Pell, Pell-Lucas and Modified Pell sequences. Also, we show that these sums can be rewritten in terms of these sequences.
Serpil Halıcı
doaj   +1 more source

On Some Relationships Among Pell, Pell-Lucas and Modified Pell Sequences

open access: yesSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2010
In this study, Pell, Pell-Lucas and Modified Pell numbers are investigated. Using Binet formulas for these sequences, some relations among these sequences are obtained. Also, some sum formulas are given by these properties.
Serpil Halıcı, Ahmet Daşdemir
doaj   +1 more source

Prime generating Lucas sequences

open access: yes, 2011
The distribution of prime numbers in Lucas sequences was investigated by independently changing the initial values and the multiplicative constants in the recursive definition of the sequence.
Estrin, Ron, Liu, Paul
core  

GEOMETRIC ASPECTS OF LUCAS SEQUENCES, A SURVEY

open access: yes, 2019
application/pdfThis article is a concise survey on the divisibility problem for Lucas sequences, including the Fibonacci sequence. We present a method of viewing Lucas sequences in the framework of group scheme theory, starting with the sights of ...
23330, SUWA, Noriyuki
core  

Fibonacci and Lucas matrix sequences and their properties

open access: yes, 2009
Bu çalışmada, Fibonacci ve Lucas matris dizileri tanımlanmıştır ve Fibonacci matris dizisinin genelleştirilmiş Fibonacci sayı dizisi ile; Lucas matris dizisinin de genelleştirilmiş Lucas sayı dizisi ile olan ilişkileri elde edilmiştir.Fibonacci ve Lucas ...
Civciv, Hacı
core  

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