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Applications of Fibonacci Numbers

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Cover of 'Applications of Fibonacci Numbers'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 Multidimensional Golden Means
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    Chapter 2 A Necessary and Sufficient Condition that Rays of a Star Configuration on Pascal’s Triangle Cover its Center with Respect to GCD and LCM
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    Chapter 3 On the Minimal Center Covering Stars with Respect to GCD in Pascal’s Pyramid and its Generalizations
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    Chapter 4 An Extension of an Old Classical Diophantine Problem
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    Chapter 5 Fourier Analysis in Finite Nilpotent Groups
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    Chapter 6 Wall and Vinson Revisited
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    Chapter 7 Designer Decimals: Fractions which Contain Second Order Recursion Sequences in Their Decimal Expansions, Reading Left to Right or Right to Left
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    Chapter 8 Semigroup Presentations and Number Sequences
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    Chapter 9 Counting the Number of Solutions of Congruences
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    Chapter 10 On the Number of Overlapping Success Runs in a Sequence of Independent Bernoulli Trials
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    Chapter 11 Embedding Fibonacci Words into Fibonacci Word Patterns
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    Chapter 12 On Sums of Cubes of Fibonacci Numbers
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    Chapter 13 Integer Sided Triangles Whose Ratio of Altitude to Base is an Integer
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    Chapter 14 On a Class of Iterative Recurrence Relations
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    Chapter 15 Discrete Operational Calculi for Two-sided Sequences
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    Chapter 16 Transformations of Fibonacci-Lucas Identities
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    Chapter 17 Fibonacci Numbers and Continued Fraction Expansions
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    Chapter 18 The DFF and DFFz Triangles and Their Mathematical Properties
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    Chapter 19 Contributions from Cascaded Combinations to the Naming of Special Permutations
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    Chapter 20 The Zeckendorf Representation of {F kn /F n }
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    Chapter 21 Fractal Patterns Derived from Rational Binomial Coefficients
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    Chapter 22 Hausdorff Dimension in Pascal’s Triangle
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    Chapter 23 Chaos, Elliptic Curves and All That
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    Chapter 24 Co-Related Sequences Satisfying the General Second Order Recurrence Relation
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    Chapter 25 On the Moments of the Sum-of-Digits Function
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    Chapter 26 Problems on Fibonacci and B-Adic Tree Representations by Regular K-Gons
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    Chapter 27 Two-Distance Sets and the Golden Ratio
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    Chapter 28 A Fibonacci Problem Classification Scheme Useful to Undergraduate Pedagogy
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    Chapter 29 Zeckendorf Representations of Positive and Negative Integers by Pell Numbers
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    Chapter 30 Integration Sequences of Fibonacci and Lucas Polynomials
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    Chapter 31 Pell-Type Number Generators of Pythagorean Triples
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    Chapter 32 Balance Morphology of a Binary Tree
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    Chapter 33 Nörlund’s Number B n (n)
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    Chapter 34 On Stirling-Type Pairs and Extended Gegenbauer-Humbert-Fibonacci Polynomials
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    Chapter 35 A Sequence Arising from Reflections in Multiple Glass Plates
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    Chapter 36 Diophantine Representation of Non-Fibonacci Numbers
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    Chapter 37 On Some Problems Related to the Fibonacci Group
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    Chapter 38 Congruence Properties of Fibonacci Numbers and Fibonacci Coefficients Modulo p 2
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    Chapter 39 Orderings of the Set of All Positive Fibonacci Sequences
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    Chapter 40 Some Results Concerning the Reciprocal Sum of Prime Divisors of a Lucas Number
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    Chapter 41 Rational Numbers with Predictable Engel Product Expansions
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    Chapter 42 Two Families of Orthogonal Polynomial Systems Related to Fibonacci Chains
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    Chapter 43 On the Formation of Higher Order Higher Dimensional Line-Sequential Vector Spaces
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    Chapter 44 Arithmetic Sequences and Second order Recurrences
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    Chapter 45 Generalized Fibonacci Pseudoprimes and Probable Primes
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    Chapter 46 A Generalization of the Fibonacci Sequence
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    Chapter 47 How to Advance on a Stairway by Coin Flippings
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    Chapter 48 Fibonacci Sequence and its Generalizations Hidden in Algorithms for Generating Morse Codes
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    Chapter 49 On Matrix Representations of Generalized Fibonacci Numbers and Their Applications
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    Chapter 50 A Cholesky Decomposition in Matching Insulin Profiles
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    Chapter 51 Generalized Exponential and Trigonometric Functions
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    Chapter 52 Divisibility of Terms in Lucas Sequences by Their Subscripts
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    Chapter 53 Upper Bounds for Frequencies of Elements in Second-Order Recurrences over A Finite Field
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    Chapter 54 On the Convergence of Quotients of Some Recursive Sequences
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    Chapter 55 Two Distribution Problems for Polynomials
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    Chapter 56 The Elements of Enteger Geometry
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    Chapter 57 Totient Functions on the Euler Number Tree
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    Chapter 58 Using Matrix Techniques to Establish Properties of k-Order Linear Recursive Sequences
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Title
Applications of Fibonacci Numbers
Published by
Springer Netherlands, September 1993
DOI 10.1007/978-94-011-2058-6
ISBNs
978-0-7923-2491-1, 978-9-40-104912-2, 978-9-40-112058-6
Editors

Bergum, G.E., Philippou, Andreas N., Horadam, Alwyn F.

Mendeley readers

The data shown below were compiled from readership statistics for 3 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 3 100%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 1 33%
Unknown 2 67%
Readers by discipline Count As %
Agricultural and Biological Sciences 1 33%
Unknown 2 67%