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Applications of Fibonacci Numbers

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Cover of 'Applications of Fibonacci Numbers'

Table of Contents

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    Book Overview
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    Chapter 1 Fermat-Like Binomial Equations
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    Chapter 2 Recurrences Related to the Bessel Function
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    Chapter 3 Symmetric Recursive Sequences Mod M
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    Chapter 4 Primitive Divisors of Lucas Numbers
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    Chapter 5 A Congruence Relation for a Linear Recursive Sequence of Arbitrary Order
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    Chapter 6 Fibonacci Numbers and Groups
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    Chapter 7 A Triangular Array with Hexagon Property, Dual to Pascal’s Triangle
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    Chapter 8 Functions of the Kronecker Square of the Matrix Q
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    Chapter 9 Fibonacci Numbers of the Forms PX 2 ± 1, PX 3 ± 1, Where P is Prime
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    Chapter 10 On the K-TH Order Linear Recurrence and Some Probability Applications
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    Chapter 11 On the Representation of Integral Sequences {F n /d} and {L n /d} as Sums of Fibonacci Numbers and as Sums of Lucas Numbers
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    Chapter 12 Primes Having an Incomplete System of Residues for a Class of Second-Order Recurrences
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    Chapter 13 Covering the Integers with Linear Recurrences
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    Chapter 14 Recursive Theorems for Success Runs and Reliability of Consecutive-K-Out-of-N: F Systems
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    Chapter 15 Asveld’s Polynomials p j (n)
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    Chapter 16 More on the Problem of Diophantus
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    Chapter 17 On a Problem of Diophantus
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    Chapter 18 The Generalized Fibonacci Numbers {C n }, C n = C n-1 + C n-2 + K
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    Chapter 19 First Failures
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Title
Applications of Fibonacci Numbers
Published by
Springer Netherlands, March 2013
DOI 10.1007/978-94-015-7801-1
ISBNs
978-9-04-818447-7, 978-9-40-157801-1
Editors

Philippou, A. N., Horadam, A. F., Bergum, G. E.

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