Results 71 to 80 of about 1,263 (112)

Padovan numbers which are palindromic concatenations of two distinct repdigits. [PDF]

Rev R Acad Cienc Exactas Fis Nat A Mat, 2021
Chalebgwa TP, Ddamulira M.
europepmc   +1 more source

Integers representable as differences of linear recurrence sequences. [PDF]

Res Number Theory, 2021
Tichy R, Vukusic I, Yang D, Ziegler V.
europepmc   +1 more source

On The Jacobsthal-Padovan p-Sequences in Groups

Topological Algebra and its Applications, 2017
In [5], Deveci defined the Jacobsthal-Padovan p-sequence. In this paper,we extend this sequence to groups. Then we define the Jacobsthal-Padovan p-orbit and we study the Jacobsthal-Padovan p-orbits of the finite groups in detail.
Aküzüm Yesim, Deveci Ömür
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On Diophantine equations involving Lucas sequences

Open Mathematics, 2019
In this paper, we shall study the Diophantine equation un = R(m)P(m)Q(m), where un is a Lucas sequence and R, P and Q are polynomials (under weak assumptions).
Trojovský Pavel
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Fibonacci Cartan and Lucas Cartan numbers

Open Mathematics
This study introduces Fibonacci Cartan and Lucas Cartan numbers, extending the classical Fibonacci and Lucas sequences into the framework of Cartan numbers.
Öztürk İskender, Çakır Hasan
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On the x-coordinates of Pell equations that are sums of two Padovan numbers. [PDF]

Bol Soc Mat Mex, 2021
Ddamulira M.
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Eventually monotonic solutions of the generalized Fibonacci equations

Open Mathematics
The purpose of this work is, for the first time, to introduce some results about the eventually monotonic solutions of the generalized Fibonacci equations. In addition, some concrete examples are given to illustrate the theoretical results.
Özban Ahmet Yaşar, Özdemir Halim
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Some Addition Formulas for Fibonacci, Pell and Jacobsthal Numbers

Annales Mathematicae Silesianae, 2019
In this paper, we obtain a closed form for F?i=1k${F_{\sum\nolimits_{i = 1}^k {} }}$, P?i=1k${P_{\sum\nolimits_{i = 1}^k {} }}$and J?i=1k${J_{\sum\nolimits_{i = 1}^k {} }}$ for some positive integers k where Fr, Pr and Jr are the rth Fibonacci, Pell and ...
Bilgici Göksal, Şentürk Tuncay Deniz
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On the exponential Diophantine equation related to powers of two consecutive terms of Lucas sequences. [PDF]

Ramanujan J, 2021
Ddamulira M, Luca F.
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On a variant of Pillai's problem involving <i>S</i>-units and Fibonacci numbers. [PDF]

Bol Soc Mat Mex, 2022
Ziegler V.
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