On a generalization of the Pell sequence

DOI10.21136/MB.2020.0098-19zbMath1499.11049OpenAlexW3072360712MaRDI QIDQ4994538

Jose L. Herrera, Florian Luca, Jhon J. Bravo

Publication date: 18 June 2021

Published in: Mathematica Bohemica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21136/mb.2020.0098-19

zbMATH Keywords

generalized Fibonacci numberrecurrence sequencegeneralized Pell number

Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (14)

$k$-generalized Pell numbers which are repdigits in base $b$ ⋮ Fermat and Mersenne numbers in \(k\)-Pell sequence ⋮ On a variant of Pillai problem: integers as difference between generalized Pell numbers and perfect powers ⋮ \(k\)-generalized Pell numbers which are concatenation of two repdigits ⋮ On perfect powers in $k$-generalized Pell sequence ⋮ On perfect powers in \(k\)-generalized Pell-Lucas sequence ⋮ On repdigits which are sums or differences of two \(k\)-Pell numbers ⋮ Common terms of \(k\)-pell numbers and Padovan or Perrin numbers ⋮ Repdigits in generalized Pell sequences ⋮ Generalization of a theorem of Adegbindin, Luca and Togbé ⋮ Common values of generalized Fibonacci and Pell sequences ⋮ Even perfect numbers in generalized Pell sequences ⋮ Fibonacci numbers in generalized Pell sequences ⋮ \(k\)-Pell numbers as product of two repdigits

Cites Work

• On the reciprocal sums of higher-order sequences
• The generalized Binet formula, representation and sums of the generalized order-\(k\) Pell numbers
• The Binet formula, sums and representations of generalized Fibonacci \(p\)-numbers
• The linear algebra of the Pell matrix
• On a conjecture about repdigits in k-generalized Fibonacci sequences
• Generalized Fibonacci and Lucas Sequences and Rootfinding Methods
• Generalized Fibonacci Numbers and Associated Matrices
• On the Periods of Generalized Fibonacci Recurrences
• A simplified Binet formula for k-generalized Fibonacci numbers
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