Results 71 to 80 of about 1,544,471 (165)

A New Family of k-Quasi Morgan-Voyce Sequences

Journal of Advanced Engineering and Computation
In this study, we define the kQuasi Morgan-Voyce and k-Quasi MorganVoyce-Lucas sequences, and some terms of these sequences are given. We introduce the closed-form formulas that give the terms of these sequences.
Hakan Akkuş, Engin Özkan
doaj   +1 more source

A Hybrid Matrix-Based Cryptographic Framework Using Multiple Linear Recurrence Sequences

Mathematics
In this study, we propose a matrix-based transformation framework constructed from special integer sequences, including Fibonacci, Lucas, Pell, and Jacobsthal numbers.
Sukran Uygun
doaj   +1 more source

A combined approach to Perrin and Padovan hybrid sequences. [PDF]

Heliyon, 2021
Jafari Petroudi SH, Pirouz M, Karaca E, Yılmaz F.   +3 more
europepmc   +1 more source

Jacobsthal representation hybrinomials [PDF]

, 2021
Jacobsthal numbers are a special case of numbers defined recursively by the second order linear relation and for these reasons they are also named as numbers of the Fibonacci type.
Szynal-Liana, Anetta, Liana, Mirosław, Włoch, Iwona   +2 more
core  

On a unified approach to homogeneous second-order linear difference equations with constant coefficients and some applications

Special Matrices
In this article, we establish a new closed formula for the solution of homogeneous second-order linear difference equations with constant coefficients by using matrix theory.
Kaddoura Issam, Mourad Bassam
doaj   +1 more source

Generalized Jacobsthal-Narayana Numbers and Generalized Co-Jacobsthal-Narayana Numbers

This paper introduces two innovative third-order recurrence sequences: the generalized Jacobsthal-Narayana sequence and the co-Jacobsthal-Narayana sequence.
Soykan, Yuksel
core   +1 more source

ON k-JACOBSTHAL AND k-JACOBSTHAL-LUCAS OCTONIONS

, 2019
In this paper, we investigate the k-Jacobsthal octonions and the k-Jacobsthal-Lucas octonions, we give the Binet formulas, generating functions and exponential generating functions of these octonions.
KILIÇ, Nayil
core   +1 more source

Applications and properties of Jacobsthal and Jacobsthal Lucas numbers

, 2008
Bu çalışmada, Horadam tarafından tanımlanmış olan Jacobsthal ve Jacobsthal Lucas sayılarının verilen özelliklerine ek olarak bazı özellikler elde edildi. Jacobsthal sayılarının bölünebilme özellikleri verildi.
Köken, Fikri
core  

ON K-JACOBSTHAL AND K-JACOBSTHAL-LUCAS QUATERNIONS

, 2017
In this paper, we generalize Jacobsthal and Jacobsthal-Lucas quaternions to k-Jacobsthal and k-Jacobsthal-Lucas quaternions. We give Binet-like formulas, generating functions and matrix representation of k-Jacobsthal quaternions and kJacobsthal-Lucas ...
TAŞCI, DURSUN
core   +1 more source

Genelleştirilmiş Jacobsthal sayıları [PDF]

, 2011
06.03.2018 tarihli ve 30352 sayılı Resmi Gazetede yayımlanan “Yükseköğretim Kanunu İle Bazı Kanun Ve Kanun Hükmünde Kararnamelerde Değişiklik Yapılması Hakkında Kanun” ile 18.06.2018 tarihli “Lisansüstü Tezlerin Elektronik Ortamda Toplanması ...
Avcıoğlu, Serap
core   +1 more source