Results 51 to 60 of about 884 (133)
Leonardo Cartan Numbers and Related Fibonacci–Lucas Structures
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper investigates the Leonardo Cartan numbers, defined as an extension of the classical Leonardo sequence through additional algebraic structures. The recurrence relations of these numbers are established, and various summation formulas are derived.
Hasan Çakır +2 more
wiley +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
Journal of Mathematics, Volume 2026, Issue 1, 2026.This study establishes a novel algebraic connection between Horadam numbers and the split quaternion algebra. To this end, two fundamental constructs are introduced: the Fibonacci Sq,r‐split quaternions and the Horadam sq,r‐split quaternions, which generalize Horadam numbers within the framework of split quaternions.
İskender Öztürk +2 more
wiley +1 more source
On One-Zero numbers: a new Horadam-type sequence
IntermathsNeste artigo, apresentamos uma nova sequência do tipo Horadam, que chamamos de sequência Um-Zero. Estudamos a equação de recorrência e mostramos a fórmula de Binet. O objetivo deste estudo é examinar as propriedades da sequência mencionada acima.
Eudes Antonio Costa +2 more
doaj +3 more sources
Journal of Child Psychology and Psychiatry, Volume 66, Issue 12, Page 1875-1888, December 2025.Background Emotional problems co‐occur with difficulties in verbal and nonverbal cognitive ability, yet the pathways underlying their association remain poorly understood: It is unclear whether effects may be causal, and to what extent they may run from cognition to emotion, or vice versa.
Meredith X. Han +3 more
wiley +1 more source
Construction of generalized bicomplex Leonardo numbers [PDF]
Notes on Number Theory and Discrete MathematicsIn this paper, we introduce a new class of bicomplex numbers whose components are expressed in terms of bicomplex Leonardo numbers. The motivation for this study arises from the growing interest in generalizations of well-known integer sequences within ...
Murat Turan +1 more
doaj +1 more source
Os biquaternions elípticos de Leonardo
CQD Revista Eletrônica Paulista de Matemática, 2021 Este trabalho mostra um processo evolutivo matemático da sequência de Leonardo, assim é apresentado os números biquaternions elípticos de Leonardo.
Milena Carolina dos Santos Mangueira +2 more
doaj
Pell Leonardo numbers and their matrix representations
Journal of New Results in ScienceIn 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
A generalização dos duais e sedenios de Leonardo
CQD Revista Eletrônica Paulista de Matemática, 2021 Recentemente, pesquisadores tem apresentado o processo evolutivo da sequência de Leonardo. Com o intuito de dar continuidade a esse processo evolutivo, neste artigo, iremos apresentar os duais e os sedenios de Leonardo.
Milena Carolina dos Santos Mangueira +3 more
doaj
Os números híbridos de k-Mersenne e k-Oresme
CQD Revista Eletrônica Paulista de Matemática, 2021 Baseada nas sequências de k-Mersenne e k-Oresme, este artigo traz um estudo referente aos números híbridos de k-Mersenne e k-Oresme. Desse modo, tem-se uma investigação em torno da fórmula de Binet e das funções geradoras para esses números.
Milena Carolina dos Santos Mangueira +3 more
doaj