An arithmetic approach to a four-parameter generalization of some special sequences

DOI10.1134/S2070046620040068zbMath1462.11017OpenAlexW3102240391MaRDI QIDQ2220955

Robson da Silva, Almir Cunha da Graça Neto, Kelvin Souza de Oliveira

Publication date: 25 January 2021

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s2070046620040068

zbMATH Keywords

Narayana numbersPell numbersJacobsthal numbersgeneralized Fibonacci numberarithmetic propertiesPadovan numbers

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

• Tiling proofs of recent sum identities involving Pell numbers
• On a four-parameter generalization of some special sequences
• Matrix sequences in terms of Padovan and Perrin numbers
• Generalized Fibonacci polynomials and fibonomial coefficients
• The Binet formula, sums and representations of generalized Fibonacci \(p\)-numbers
• On generalized Fibonacci quaternions and Fibonacci-Narayana quaternions
• The \(p\)-adic order of the \(k\)-Fibonacci and \(k\)-Lucas numbers
• My Numbers, My Friends
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