On square Tribonacci Lucas numbers
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Date
2021
Authors
Irmak, Nurettin
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Publisher
Hacettepe University
Open Access Color
GOLD
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No
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Abstract
The Tribonacci-Lucas sequence {Sn} is defined by the recurrence relation Sn+3 = Sn+2 + Sn+1 + Sn with S0 = 3, S1 = 1, S2 = 3. In this note, we show that 1 is the only perfect square in Tribonacci-Lucas sequence for (Formula presented) (mod 32) and (Formula presented) (mod 96). © 2021, Hacettepe University. All rights reserved.
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Keywords
Squares, Tribonacci Lucas sequence, Tribonacci sequence, Matematik, Tribonacci Lucas sequence, Tribonacci sequence, Fibonacci and Lucas numbers and polynomials and generalizations, squares, Mathematical Sciences, Diophantine equations in many variables, Tribonacci sequence;Tribonacci Lucas sequence;squares
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Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Q2
Scopus Q
Q3
OpenCitations Citation Count
N/A
Source
Hacettepe Journal of Mathematics and Statistics
Volume
50
Issue
6
Start Page
1652
End Page
1657
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