The generalized order k–Pell sequences in some special groups of nilpotency class 2

DOI10.1080/00927872.2021.1988959zbMath1492.11023OpenAlexW3206446098MaRDI QIDQ5061617

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Publication date: 14 March 2022

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2021.1988959

zbMATH Keywords

period\(k\)-Pell number sequencegeneralized order \(k\)-Pell sequence

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Generators, relations, and presentations of groups (20F05) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (2)

The cyclic sequences in non-Abelian groups ⋮ The Tribonacci-type balancing numbers and their applications

Cites Work

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• Fibonacci lengths involving the Wall number \(k(n)\).
• Extensions and refinements of some properties of sums involving Pell numbers
• On the \(2k\)-step Jordan-Fibonacci sequence
• The generalized Binet formula, representation and sums of the generalized order-\(k\) Pell numbers
• On the generalized order 2-Pell sequence of some classes of groups
• The quaternion-Pell sequence
• Factorization of the $t$-extension of the $p$-Fibonacci and the Pascal matrices
• A new Gaussian Fibonacci matrices and its applications

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