X-coordinates of Pell equations as sums of two tribonacci numbers

EF Bravo, CA Gómez Ruiz, F Luca - Periodica Mathematica Hungarica, 2018 - Springer
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On Y-coordinates of Pell equations which are base 2 rep-digits

B Faye-Fall, F Luca - Glasnik matematički, 2020 - hrcak.srce.hr
ON Y -COORDINATES OF PELL EQUATIONS WHICH ARE BASE 2 REP-DIGITS Bernadette
Faye-Fall and Florian Luca Université Gaston Berger, Page 1 GLASNIK MATEMATICKI Vol …

[HTML][HTML] On the x–coordinates of Pell equations which are k–generalized Fibonacci numbers

M Ddamulira, F Luca - Journal of Number Theory, 2020 - Elsevier
For an integer k≥ 2, let {F n (k)} n≥ 2− k be the k–generalized Fibonacci sequence which
starts with 0,…, 0, 1 (a total of k terms) and for which each term afterwards is the sum of the k …

On Y-coordinates of Pell equations which are members of a fixed binary recurrence

B Faye, F Luca - New York Journal of Mathematics, 2020 - pure.mpg.de
In this paper, we show that if u is a fixed binary recurrent sequence of integers whose
characteristic equation has real roots and (Xk, Yk) is the kth solution of the Pell equation X2 …

On the --coordinates of Pell equations that are products of two Padovan numbers

M Ddamulira - … : Electronic Journal of Combinatorial Number Theory, 2020 - hal.science
Let $\{P_ {n}\} _ {n\geq 0} $ be the sequence of Padovan numbers defined by $ P_0= 0$, $
P_1= P_2= 1$, and $ P_ {n+ 3}= P_ {n+ 1}+ P_n $ for all $ n\geq 0$. In this paper, we find all …

[HTML][HTML] On the x-coordinates of Pell equations which are products of two Fibonacci numbers

B Kafle, F Luca, A Montejano, L Szalay… - Journal of Number …, 2019 - Elsevier
On the X-coordinates of Pell equations which are products of two Fibonacci numbers -
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X-coordinates of Pell equations which are Lucas numbers

B Kafle, F Luca, A Togbé - Boletín de la Sociedad Matemática Mexicana, 2019 - Springer
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x-Coordinates of Pell equations which are Tribonacci numbers II

B Kafle, F Luca, A Togbé - Periodica Mathematica Hungarica, 2019 - Springer
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On the x-Coordinates of Pell Equations That Are Products of Two Lucas Numbers

M Ddamulira - The Fibonacci Quarterly, 2020 - Taylor & Francis
Let {Ln} n≥ 0 be the sequence of Lucas numbers given by L 0= 2, L 1= 1, and Ln+ 2= Ln+
1+ Ln for all n≥ 0. In this paper, for an integer d≥ 2 that is square-free, we show that there is …

The -coordinates of Pell equations and Padovan numbers

SE Rihane, MO Hernane… - Turkish Journal of …, 2019 - journals.tubitak.gov.tr
The $X$-coordinates of Pell equations and Padovan numbers Page 1 Turkish Journal of
Mathematics Volume 43 Number 1 Article 17 1-1-2019 The $X$-coordinates of Pell equations …