Results 51 to 60 of about 209 (127)

The extensibility of the Diophantine triple {2, b, c}

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021
The aim of this paper is to consider the extensibility of the Diophantine triple {2, b, c}, where 2 < b < c, and to prove that such a set cannot be extended to an irregular Diophantine quadruple.
Adžaga Nikola, Filipin Alan, Jurasić Ana   +2 more
doaj   +1 more source

On the generalized bi-periodic Fibonacci and Lucas quaternions

Miskolc Mathematical Notes, 2019
In this paper we introduce the generalized bi-periodic Fibonacci and Lucas quaternions which are the further generalizations of the bi-periodic Fibonacci and Lucas quaternions considered in the literature.
Y. Choo
semanticscholar   +1 more source

SOME ALGEBRAIC RELATIONS ON AN INTEGER SEQUENCE WITH FIXED PARAMETER

Acta Universitatis Apulensis, 2019
Let a ≥ 2 be an integer. In this work we set an integer sequence Ua n = Un(a+ 1, a) and deduced some algebraic relations on it. 2010 Mathematics Subject Classification: 05A19, 11B37, 11B39.
Arzu Özkoç Öztürk, A. Tekcan
semanticscholar   +1 more source

ON A STUDY OF BINOMIAL FORM TO THE NEW (S, T)-JACOBSTHAL SEQUENCE

Acta Universitatis Apulensis, 2019
Many (s, t)-type of sequences has been introduced earlier such as (s, t)-Fibonacci sequence, (s, t)-Lucas sequence, (s, t)-Jacobsthal sequence, (s, t)Jacobsthal-Lucas sequence etc .
A. A. Wani, S. Halıcı, T. A. Tarray
semanticscholar   +1 more source

On Doubled and Quadrupled Fibonacci Type Sequences

Annales Mathematicae Silesianae
In this paper we study a family of doubled and quadrupled Fibonacci type sequences obtained by distance generalization of Fibonacci sequence. In particular we obtain doubled Fibonacci sequence, doubled and quadrupled Padovan sequence and quadrupled ...
Yilmaz Nur Şeyma, Włoch Andrzej, Özkan Engin, Strzałka Dominik   +3 more
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Curious Continued Fractions, Nonlinear Recurrences and Transcendental Numbers [PDF]

, 2015
We consider a family of integer sequences generated by nonlinear recurrences of the second order, which have the curious property that the terms of the sequence, and integer multiples of the ratios of successive terms (which are also integers), appear ...
Hone, Andrew N.W.
core  

On generating matrices of the k-Pell, k-Pell-Lucas and modified k-Pell sequences

, 2014
In this paper we define some tridiagonal matrices depending of a parameter from which we will find the k-Pell, k-Pell-Lucas and Modified k-Pell numbers. Mathematics Subject Classification: 11B37, 11B83.
P. Catarino
semanticscholar   +1 more source

On Generalized Jacobsthal and Jacobsthal-Lucas polynomials

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
In this paper we introduce a generalized Jacobsthal and Jacobsthal-Lucas polynomials, Jh,n and jh,n, respectively, that consist on an extension of Jacobsthal's polynomials Jn(𝑥) and Jacobsthal-Lucas polynomials jn(𝑥).
Catarino Paula, Morgado Maria Luisa
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Explicit expressions for the related numbers of higher order appell polynomials

, 2020
In this note, by using the Hasse-Teichm¨uller derivatives, we obtain two explicit expressions for the related numbers of higher order Appell polynomials.
Hu, Su, Komatsu, Takao
core  

On (k1A1, k2A2, k3A3)-Edge Colourings in Graphs and Generalized Jacobsthal Numbers

Annales Mathematicae Silesianae
In this paper we introduce a new kind of generalized Jacobsthal numbers in a distance sense. We give the identities and matrix representations for them and their connections with the Fibonacci and the Pell numbers. We also describe the interpretations of
Piejko Krzysztof, Trojnar-Spelina Lucyna
doaj   +1 more source