Results 101 to 110 of about 94,026 (132)

On the Generalized Leonardo Numbers

2022
See the abstract in the attached pdf.
Kuhapatanakul, Kantaphon, Chobsorn, Juthamas   +1 more
openaire   +2 more sources

Some new families of generalized \(k\)-Leonardo and Gaussian Leonardo numbers

2023
Based on the authors abstract, this paper, introduces a new family of the generalized \(k\)-Leonardo numbers and study their properties. The authors investigate the Gaussian Leonardo numbers and associated new families of these Gaussian forms. They also obtain combinatorial identities like Binet formula, Cassini's identity, partial sum, etc.
Prasad, Kalika, Mohanty, Ritanjali, Kumari, Munesh, Mahato, Hrishikesh   +3 more
openaire   +2 more sources

Common terms of Leonardo and Jacobsthal numbers

Rendiconti del Circolo Matematico di Palermo Series 2, 2023
As a particular case of the Lucas sequences of the first kind, the sequence of Jacobsthal numbers \( \{J_m\}_{m\ge 0} \) is defined by the linear recurrence relation: \( J_0=0 \), \( J_1=1 \), and \( J_{m}=J_{m-1}+2J_{m-2} \) for all \( m\ge 2 \).
Bensella, Hayat, Behloul, Djilali
openaire   +2 more sources

Generalised Leonardo numbers

Logic Journal of the IGPL
Abstract This note covers some of the history of Leonardo numbers. We retrieve some of the most recent results on this sequence, as well as some relevant historical interconnections. In the end, we also provide some conjectures and open problems for some of its extensions involving the modular periodicity.
Carlos M da Fonseca, Can Kızılateş, Paulo Saraiva, Anthony G Shannon   +3 more
openaire   +2 more sources

Combinatorial Insights into Leonardo \(p\)-Numbers and Lucas-Leonardo \(p\)-Numbers

Summary: In this paper, we present a combinatorial interpretation of Leonardo \(p\)-numbers in terms of colored linear tilings and provide combinatorial proofs for several identities involving them. We further explore the incomplete and hyper Leonardo \(p\)-numbers, presenting their combinatorial interpretations.
Belkhir, Amine, Tan, Elif
openaire   +2 more sources

Generalized Fibonacci–Leonardo numbers

Journal of Difference Equations and Applications, 2023
Urszula Bednarz, Małgorzata Wołowiec-Musiał   +1 more
openaire   +1 more source

Leonardo da Vinci and Fluid Mechanics

Annual Review of Fluid Mechanics, 2021
Ivan Marusic, Susan Margaret Broomhall
exaly  

Polynomials whose coefficients are generalized Leonardo numbers

Mathematica Slovaca
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Imaging and spectroscopic data combined to disclose the painting techniques and materials in the fifteenth century Leonardo atelier in Milan

Dyes and Pigments, 2021
Anna Galli, Marco Gargano, Letizia Bonizzoni   +2 more
exaly  

Construction Of Generalized Bicomplex Leonardo Numbers

2023
Turan, Murat, Sıddıka Özkaldı Karakuş   +1 more
openaire   +1 more source