Terms of recurrence sequences in the solution sets of generalized Pell equations
L Hajdu, P Sebestyén - International Journal of Number Theory, 2022 - World Scientific
Terms of recurrence sequences in the solution sets of generalized Pell equations Page 1
International Journal of Number Theory Vol. 18, No. 7 (2022) 1605–1612 c© World Scientific …
International Journal of Number Theory Vol. 18, No. 7 (2022) 1605–1612 c© World Scientific …
On the x-coordinates of Pell equations that are sums of two Padovan numbers
M Ddamulira - Boletín de la Sociedad Matemática Mexicana, 2021 - Springer
Abstract Let (P_ n) _ n ≥ 0 (P n) n≥ 0 be the sequence of Padovan numbers defined by
P_0= 0 P 0= 0, P_1= P_2= 1 P 1= P 2= 1, and P_ n+ 3= P_ n+ 1+ P_n P n+ 3= P n+ 1+ P n …
P_0= 0 P 0= 0, P_1= P_2= 1 P 1= P 2= 1, and P_ n+ 3= P_ n+ 1+ P_n P n+ 3= P n+ 1+ P n …
Linear combinations of prime powers in X-coordinates of Pell equations
Abstract Let {X_ ℓ\} _ ℓ ≥ 1 X ℓ ℓ≥ 1 be the sequence of X-coordinates of the positive
integer solutions (X, Y) of the Pell equation X^ 2-dY^ 2= ± 1 X 2-d Y 2=±1 corresponding to a …
integer solutions (X, Y) of the Pell equation X^ 2-dY^ 2= ± 1 X 2-d Y 2=±1 corresponding to a …
The x-coordinates of Pell equations and sums of two Fibonacci numbers II
M Ddamulira, F Luca - Proceedings-Mathematical Sciences, 2020 - Springer
Abstract Let {F_ n\} _ n ≥ 0 F nn≥ 0 be the sequence of Fibonacci numbers defined by
F_0= 0 F 0= 0, F_1= 1 F 1= 1 and F_ n+ 2= F_ n+ 1+ F_n F n+ 2= F n+ 1+ F n for all n ≥ 0 …
F_0= 0 F 0= 0, F_1= 1 F 1= 1 and F_ n+ 2= F_ n+ 1+ F_n F n+ 2= F n+ 1+ F n for all n ≥ 0 …
An exponential Diophantine equation related to the sum of powers of two consecutive terms of a Lucas sequence and x-coordinates of Pell equations
HS Erazo, CA Gómez - Periodica Mathematica Hungarica, 2021 - Springer
For the Fibonacci sequence the identity F n 2+ F n+ 1 2= F 2 n+ 1 holds for all n≥ 0. Let
X:=(X ℓ) ℓ≥ 1 be the sequence of X-coordinates of the positive integer solutions (X, Y) of the …
X:=(X ℓ) ℓ≥ 1 be the sequence of X-coordinates of the positive integer solutions (X, Y) of the …
Diophantine Problems Related to Linear Recurrence Sequences
S Péter - 2024 - search.proquest.com
Linear recurrence sequences form a classical field (among others) in Diophantine number
theory. Their first appearance is linked to the famous book of Fibonacci [25]. Since then they …
theory. Their first appearance is linked to the famous book of Fibonacci [25]. Since then they …
On the X-coordinates of Pell equations of the form
Y Hu, M Le - Periodica Mathematica Hungarica, 2023 - Springer
Let D be a fixed nonsquare positive integer, and let {un} n= 1∞ denote the X-coordinates of
the Pell equation u 2-D v 2= 1. Further, for any fixed nonnegative integer r, let S (D, r)={n| n∈ …
the Pell equation u 2-D v 2= 1. Further, for any fixed nonnegative integer r, let S (D, r)={n| n∈ …
X-coordinates of Pell Equations in Various Sequences
F Luca - … in Algebra, Combinatorics, Geometry and Number …, 2021 - Springer
X-coordinates of Pell Equations in Various Sequences | SpringerLink Skip to main content
Advertisement SpringerLink Account Menu Find a journal Publish with us Track your research …
Advertisement SpringerLink Account Menu Find a journal Publish with us Track your research …
[引用][C] On the -coordinates of Pell equations as difference of two Fibonacci numbers
On The X-Coordinates of Pell Equations As Difference of two Fibonacci Numbers Page 1
Accepted manuscript to appear in IJNT Accepted Manuscript International Journal of …
Accepted manuscript to appear in IJNT Accepted Manuscript International Journal of …