Results 81 to 90 of about 127 (112)

The First Study of Mersenne--Leonardo Sequence

open access: yesCommunications in Advanced Mathematical Sciences
In this study, we introduce a new class of numbers, referred to as Modified Mersenne--Leonardo numbers. The aim of this paper is to define the Modified Mersenne--Leonardo sequence and investigate some of its properties, including the recurrence relation,
Paula Maria Machado Cruz Catarino   +1 more
doaj   +1 more source

The h(x)-Lucas quaternion polynomials [PDF]

open access: yes
In this paper, we study h(x)-Lucas quaternion polynomials considering several properties involving these polynomials and we present the exponential generating functions and the Poisson generating functions of the h(x)-Lucas quaternion polynomials ...
Kilic, Nayil
core  

Comparison of algorithms for computing Fibonacci numbers

open access: yes, 2022
V diplomski nalogi so predstavljeni in analizirani načini algoritmičnega izračuna Fibonaccijevih števil. V prvem delu je predstavljeno teoretično ozadje računanja elementov Fibonaccijevega zaporedja in aritmetika v poljubni natančnosti, ki nam omogoča ...
MOČNIK, GAŠPER
core  

Higher-order balancing numbers: new sequences, recurrence relations, generating functions and identities

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы
In this article, we study a novel extension of the classic balancing numbers, referred to as the higher-order balancing numbers and denoted by. This sequence is analogous to the higher-order Fibonacci numbers and follows the same recurrence relation as ...
K. Prasad, Indubala, M. Kumari
doaj   +1 more source

Combinatorial proofs of Fibonacci and related identities [PDF]

open access: yes, 2017
In this diploma thesis, the combinatorial proofs of Fibonacci and related identities are discussed. The combinatorial proofs prove to be strong tools, useful in different mathematical fields, such as group theory, set theory, analysis and theory of ...
Vidmar, Katarina
core  

A Study On Gaussian Generalized Edouard Numbers

open access: yes
This paper examines the properties and applications of Gaussian Generalized Edouard numbers, aiming to enrich the theoretical framework of number sequences. Utilizing analytical and algebraic techniques, we derive novel recurrence relations, sum formulas,
Ayrilma, Emine Esra, Soykan, Yuksel
core   +1 more source

On k-periodic binary recurrences [PDF]

open access: yes
We apply a new approach, namely the fundamental theorem of homo- geneous linear recursive sequences, to k-periodic binary recurrences which allows us to determine Binet’s formula of the sequence if k is given. The method is illustrated in the cases k =
Irmak, Nurettin, Szalay, László
core  

On the Generalized Order-k Jacobsthal and Jacobtshal-Lucas Numbers

open access: yes
The classic Jacobsthal numbers were generalized to k sequences of the generalized order-k Jacobsthal numbers and then have been studied by several authors.
Ahmed, Hossen   +2 more
core   +1 more source

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