Duplications In the \(k\)-generalized Fibonacci sequences

zbMath1506.11029MaRDI QIDQ2045887

László Szalay, Florian Luca, Attila Pethoe

Publication date: 16 August 2021

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://nyjm.albany.edu/j/2021/27-44.html

zbMATH Keywords

multiplicity\(k\)-generalized Fibonacci sequence

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

• Coincidences in generalized Fibonacci sequences
• On the distance between two algebraic numbers
• Linear combinations of factorials and \(S\)-units in a binary recurrence sequence
• An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II
• On $k$-generalized Fibonacci numbers with negative indices
• The on-line encyclopedia of integer sequences
• On the zero–multiplicity of a fifth-order linear recurrence
• On the intersection of two distinct $k$-generalized Fibonacci sequences
• On the zero-multiplicity of the k-generalized Fibonacci sequence
• On a conjecture concerning the multiplicity of the Tribonacci sequence
• Total multiplicity of the Tribonacci sequence
• A simplified Binet formula for k-generalized Fibonacci numbers
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