Results 101 to 110 of about 395,880 (199)

Polynomial generalizations of the Pell sequences and the Fibonacci sequence

open access: yes, 2015
In this paper we present polynomial generalizations for the Pell sequence and the Fibonacci sequence together with formulas for those sequences.
Ivkovic, M, Santos, JPO
core  

Sums of certain products of fibonacci & Lucas numbers-part III [PDF]

open access: yes, 2017
For the Fibonacci numbers, the summation formula σnk=1 Fk2=FnFn+1is well-known. Its charm lies in the fact that the right side is a product of terms from the Fibonacci sequence.
Melham, RS
core  

Variants of the Filbert Matrix

open access: yes, 2013
A variation of the Filbert matrix from [1] is introduced, which has one additional Fibonacci factor in the numerator. We also introduce its Lucas counterpart by taking Lucas numbers instead of Fibonacci numbers in a similar manner.
Kılıç, Emrah, Prodinger, Helmut
core  

The Divine Proportion: Origins and Usage in Plastic Surgery. [PDF]

open access: yesPlast Reconstr Surg Glob Open, 2021
Hwang K, Park CY.
europepmc   +1 more source

Closed-Form Solutions of Leonardo-Type Recurrences with Homogeneous Counterparts in Fibonacci and Pell Families

open access: yesJournal of Advances in Mathematics and Computer Science
The objective of this study is to derive explicit closed-form solutions for second-order nonhomogeneous linear recurrence relations with polynomial inputs, formulated in terms of generalized Fibonacci-type and generalized Pell-type sequences. A central aspect of the framework is the restriction to the non-resonant case r = 0, which ensures that the ...
openaire   +1 more source

Aplicações da sequência de Fibonacci

open access: yes, 2016
Esta coleção é formada por recursos audiovisuais que tratam do assunto relacionado ao conteúdo de Sequência de Fibonacci. A sequência de Fibonacci é uma sequência infinita de números descrita por Leonardo de Pisa, conhecido como Fibonacci.
Roman, Patrícia   +8 more
core   +2 more sources

Determinants of Toeplitz–Hessenberg Matrices with Generalized Leonardo Number Entries

open access: yesAnnales Mathematicae Silesianae
Let un = un(k) denote the generalized Leonardo number defined recursively by un = un−1 + un−2 + k for n ≥ 2, where u0 = u1 = 1. Terms of the sequence un(1) are referred to simply as Leonardo numbers.
Goy Taras, Shattuck Mark
doaj   +1 more source

An image processing of a Raphael's portrait of Leonardo [PDF]

open access: yes, 2011
In one of his paintings, the School of Athens, Raphael is depicting Leonardo da Vinci as the philosopher Plato. Some image processing tools can help us in comparing this portrait with two Leonardo's portraits, considered as self ...
Sparavigna, Amelia Carolina
core  

Fibonacci’s Liber Abaci: A Translation into English of Leonardo Pisano’s Book of Calculation

open access: yesAestimatio: Critical Reviews in the History of Science, 2015
Laurence E. Sigler (book author)   +1 more
openaire   +3 more sources

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