On the Intersections of Fibonacci, Pell, and Lucas Numbers

DOI10.1515/INTEG.2011.021zbMath1228.11018arXiv1002.1679WikidataQ57057050 ScholiaQ57057050MaRDI QIDQ3015019

Max A. Alekseyev

Publication date: 8 July 2011

Published in: Integers (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.1679

zbMATH Keywords

Thue equationsFibonacci numbersPell equationsLucas sequences

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Computer solution of Diophantine equations (11Y50) Diophantine equations in many variables (11D72) Cubic and quartic Diophantine equations (11D25) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Calculation of integer sequences (11Y55)

Related Items (15)

Multiplicative Diophantine equations with factors from different Lucas sequences ⋮ Unnamed Item ⋮ The proof of a conjecture concerning the intersection of \(k\)-generalized Fibonacci sequences ⋮ Common terms of Leonardo and Jacobsthal numbers ⋮ On \(k\)-Fibonacci and \(k\)-Lucas numbers written as a product of two Pell numbers ⋮ On \(Y\)-coordinates of Pell equations which are Fibonacci numbers ⋮ Markov triples with two Fibonacci components ⋮ Fibonacci numbers which are products of three Pell numbers and Pell numbers which are products of three Fibonacci numbers ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Common values of generalized Fibonacci and Pell sequences ⋮ Fibonacci numbers in generalized Pell sequences ⋮ On the intersection of \(k\)-Lucas sequences and some binary sequences ⋮ On \(Y\)-coordinates of Pell equations which are Lucas numbers ⋮ Pillai's problem with k-Fibonacci and Pell numbers

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