Fibonacci-like sequences and generalized Pascal’s triangles

DOI10.1080/0020739X.2013.851806zbMath1296.97006OpenAlexW2170482845MaRDI QIDQ5165792

Serena Siani, Giovanni Vincenzi

Publication date: 30 June 2014

Published in: International Journal of Mathematical Education in Science and Technology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0020739x.2013.851806

zbMATH Keywords

linear recurrencesbinomial coefficientsPascal's triangleFibonacci-like sequences

Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Sequences and series (educational aspects) (97I30) Number theory (educational aspects) (97F60) Combinatorics (educational aspects) (97K20)

Related Items (8)

On the hyperbolic Pascal pyramid ⋮ Generalized Pascal's triangles and associated \(k\)-Padovan-like sequences ⋮ Logarithmic spirals and continue triangles ⋮ An extension of Lucas identity via Pascal's triangle ⋮ Pascal pyramid in the space $\mathbf{H}^2\!\times\!\mathbf{R}$ ⋮ Tribonacci-like sequences and generalized Pascal's pyramids ⋮ A class of generalized Tribonacci sequences applied to counting problems ⋮ An analytic approach to maximize entropy for computing equilibrium densities of k-mers on linear chains

Cites Work

• Unnamed Item
• Limit of ratio of consecutive terms for general order-\(k\) linear homogeneous recurrences with constant coefficients
• On the order-\(m\) generalized Fibonacci \(k\)-numbers
• Packing efficiency in sunflower heads
• A Catalan triangle
• Higher-order Fibonacci numbers
• The \(k\)-Fibonacci sequence and the Pascal 2-triangle

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