The generalized Pell \((p, i)\)-numbers and their Binet formulas, combinatorial representations, sums
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Publication:601391
DOI10.1016/j.chaos.2007.09.081zbMath1198.11015OpenAlexW2146863154MaRDI QIDQ601391
Publication date: 4 November 2010
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2007.09.081
Exact enumeration problems, generating functions (05A15) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)
Related Items (9)
Extremal trees with respect to number of \((A, B, 2 C)\)-edge colourings ⋮ On the order-\(m\) generalized Fibonacci \(k\)-numbers ⋮ On the \((s,t)\)-Pell and \((s,t)\)-Pell-Lucas sequences and their matrix representations ⋮ Explicit determinants of the RFP\(r\)L\(r\)R circulant and RLP\(r\)F\(r\)L circulant matrices involving some famous numbers ⋮ On the arrowhead-Fibonacci numbers ⋮ Unnamed Item ⋮ On the Adjacency-Jacobsthal numbers ⋮ On \(k\)-distance Pell numbers in 3-edge-coloured graphs ⋮ Pell coding and pell decoding methods with some applications
Cites Work
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- The golden section in measurement theory
- Theory of Binet formulas for Fibonacci and Lucas \(p\)-numbers
- Elementary number theory in superstrings, loop quantum mechanics, twistors and \(E\)-infinity high energy physics
- Fibonacci matrices, a generalization of the ``Cassini formula, and a new coding theory
- On sums of second order linear recurrences by Hessenberg matrices
- Quantum mechanics and the possibility of a Cantorian space-time
- On dimensions of Cantor set related systems
- Is quantum space a random Cantor set with a golden mean dimension at the core?
- Complex vacuum fluctuation as a chaotic ``limit set of any Kleinian group transformation and the mass spectrum of high energy particle physics via spontaneous self-organization.
- Fredholm operators and the wave-particle duality in Cantorian space
- On the order-\(k\) generalized Lucas numbers
- Statistical geometry of a Cantor discretum and semiconductors
- The combinatorial power of the companion matrix
- 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 ``golden matrices and a new kind of cryptography
- The generalized order-\(k\) Fibonacci-Pell sequence by matrix methods
- On the generalized order-\(k\) Fibonacci and Lucas numbers
- On the permanents of some tridiagonal matrices with applications to the Fibonacci and Lucas numbers
- The Golden Shofar
- The continuous functions for the Fibonacci and Lucas \(p\)-numbers
- Permanents of (0, 1)-Circulants
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