Results 61 to 70 of about 991 (168)
The Romantic Discovery of Radiolaria in the Ocean
Journal of Eukaryotic Microbiology, Volume 73, Issue 1, January/February 2026.ABSTRACT Radiolaria are unicellular marine organisms (protists) that have been drifting in oceanic plankton for hundreds of millions of years. These mineral architects can build extraordinarily complex skeletons, which fascinated and puzzled naturalists observing water samples through rudimentary microscopes.
Johan Decelle
wiley +1 more source
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
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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
On dual and hyper-dual $k$-Leonardo numbers [PDF]
Mathematica BohemicaWe describe new classes of dual and hyper-dual numbers whose coefficients consist of the $k$-Leonardo numbers. We will call these numbers dual $k$-Leonardo numbers and hyper-dual $k$-Leonardo numbers, respectively.
Tülay Yağmur
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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
A generalization of the Binet-Minc formula for the evaluation of permanents
Linear Algebra and its Applications, 1988 The author presents a formula which coincides with the Binet-Minc formula for the evaluation of the permanent of the matrix \((a_{ij})\) which is presented in the polynomial \(\prod^{n}_{i=1}(\sum^{m}_{j=1}a_{ij}x_ j)\) where this formula is considered for the sum of the coefficients of monomials of the form \(x^{j_ 1}_{\ell_ 1}...x^{j_ p}_{\ell_ p ...
openaire +2 more sources
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
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Binet – Type Formula For The Sequence of Tetranacci Numbers by Alternate Methods
Mathematical Journal of Interdisciplinary Sciences, 2019 The sequence {Tn} of Tetranacci numbers is defined by recurrence relation Tn= Tn-1 + Tn-2 + Tn-3 + Tn-4; n≥4 with initial condition T0=T1=T2=0 and T3=1. In this Paper, we obtain the explicit formulla-Binet-type formula for Tn by two different methods. We use the concept of Eigen decomposition as well as of generating functions to obtain the result.
null Gautam S. Hathiwala +1 more
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Plenary Abstracts Session & Oral Presentations
HemaSphere, Volume 10, Issue S1, June 2026.
wiley +1 more source
On Mersenne Finite Operators and Their Quaternion Counterparts
Cumhuriyet Science JournalIn this study, we introduce the Mersenne finite operator sequences, derived by applying a finite operator to Mersenne sequences, and investigate their fundamental properties. We establish the recurrence relations, derive a Binet-like formula, and present
Bahar Kuloǧlu
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