On a family of sequences related to Chebyshev polynomials

zbMath1439.11081arXiv1802.01793MaRDI QIDQ4585755

L. Edson Jeffery, Andrew N. W. Hone, Robert G. Selcoe

Publication date: 7 September 2018

Full work available at URL: https://arxiv.org/abs/1802.01793

zbMATH Keywords

Chebyshev polynomialLehmer numberrecurrence sequencecomposite number

Mathematics Subject Classification ID

Special sequences and polynomials (11B83) Factorization; primality (11A51)

Uses Software

• DLMF
• OEIS

Cites Work

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• On divisors of Lucas and Lehmer numbers
• Factorization properties of Chebyshev polynomials
• A binary linear recurrence sequence of composite numbers
• A note on primality tests for \(N=h\cdot 2^ n-1\)
• Products of linear recurring sequences
• Existence of primitive divisors of Lucas and Lehmer numbers
• Primes Generated by Recurrence Sequences
• Lehmer's numbers
• New Primality Criteria and Factorizations of 2 m ± 1
• Simple groups of square order and interesting sequence of primes
• On Divisors of Fermat, Fibonacci, Lucas, and Lehmer Numbers
• A Really Trivial Proof of the Lucas-Lehmer Test
• Divisors of Mersenne Numbers
• The Arithmetical Theory of Linear Recurring Series
• A Fibonacci-Like Sequence of Composite Numbers
• Identities connecting the Chebyshev polynomials
• Decimation of Periodic Sequences
• On primitive prime factors of Lehmer numbers I

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