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Title Page

Preface

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Table of Contents

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Paul J. Campbell & Christopher Moeller Secondary Fibonacci Sequences

1

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F. Schweiger An Estimate for the Length of a Finite Jacobi Algorithm

16

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Jaques Troué Solution of the Recurrent Equation un+1=2un-un-1+un-3

18

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Richard C. Weimer Primeness for the Gaussian Integers

19

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Richard C. Weimer A Note on Ordering the Complex Numbers

20

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Jerome Hines Theory of Extra Numerical Information Applied to the Fibonacci Sum

22

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Paul N. Mendelsohn The Pentanacci Numbers

31

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George Berzsenyi Remarks on the Diophantine Equations a2±ab+b2 =c2

34

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A. M. Russell Triangular Displays of Integers

38

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Louise S. Grinstein Pythagorean Triangles and Multiple Angles

39

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Curtis R. Vogel Proof that the Area of a Pythagorean Triangle is Never a Square

43

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Jan van Leeuwen Reconsidering a Problem of M. Ward

45

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Jerry T. Sullivan What a Difference a Difference Makes!

46

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Jerome Minkus Circulants and Horadam's Sequences

48

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Loren L. Dickerson An Expansion of Golubev's 11 x 11 Magic Square of Primes to Its Maximum, 21 x 21

52

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John R. Howell Some Extensions of Properties of the Sequence of Fibonacci Polynomials

54

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Carl S. Weisman A Divisibility Property of Binomial Coefficients

57

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Arthur F. Setteducati Fibonacci Fever

58

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Rodney T. Hansen Exponential Generation of Basic Linear Identities

61

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H. V. Krishna Identities of a Generalized Fibonacci Sequence

65

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H. V. Krishna Divisibility Properties of a Generalized Fibonacci Sequence

66

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H. V. Krishna Pythagorean Pentids

67

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Jeffrey Shallit A Triangle for the Bell Numbers

69

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Manoranjitham Veluppillai The equations z2-3y2=-2 and z2-6x2=-5

71

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Salah M. Yousif Generation of Fibonacci Numbers by Digital Filters

75

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Charles F. Winans The Fibonacci Series in the Decimal Equivalents of Fractions

78

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Paul S. Bruckman Generalization of a Problem of Gould and Its Solution by a Contour Integral

82

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Charles W. Trigg A Miscellany of 1979 Curiosa

87

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Charles W. Trigg 101 Faces of 1979

88

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Charles W. Trigg Determinants Related to 1979

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Charles W. Trigg Reiterative Routines Applied to 1979

90

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Charles W. Trigg and Avetta Trigg 1979 and Associated Primes

91

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Charles W. Trigg The Powerful 1979

93

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M. G. Monzingo An Observation Concerning Whitford's "Binet's Formula Generalized"

93

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M. G. Monzingo On the Distribution of Quadratic Residues

94

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David Singmaster Divisibility of Binomial and Multinomial Coefficients by Primes and Prime Powers

98

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Verner E. Hoggatt, Jr. and Marjorie Bicknell-Johnson A Matrix Generation of Fibonacci Identities for F2nk

114

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Charles W. Trigg Antimagic Pentagrams With Line Sums in Arithmetic Progression, Δ=3

124

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Charles W. Trigg Two Families of Twelfth-Order Magic Squares

127

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Carl P. McCarty Coin Tossing and the r-bonacci Numbers

130

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Susan C. Seeder Combinatorial Identities Derived from Units

132

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David R. Morrison A Stolarsky Array of Wythoff Pairs

134

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Jerome D. Braverman and David J. Toof An Application of the Fibonacci Search Technique to Determine Optimal Sample Size in a Bayesian Decision Problem

137

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Ralph Gellar Simultaneous Tribonacci Representations

145

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Gregory Wulczyn Polynomial Fibonacci-Lucas Identities of the Form ∑r=1nP(r)Fr

157

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Gregory Wulczyn A Generalization of Some L. Carlitz Identities

159

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John Konvalina A Characterization of the Pythagorean Triples

160

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Seppo Pajunen On Primitive Weird Numbers

162

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Kesar Singh Fibonacci Concept: Extension to Real Roots of Polynomial Equations

166

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D. G. Rogers Triangular Arrays Associated With Some Partitions

169

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H. N. Malik and A. Qadir Break-up Integers and Bracket Functions in Terms of Bracket Functions

172

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H. N. Malik and A. Qadir Pseudo-Periodic Difference Equations

176

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H. N. Malik and A. Qadir solutions of Pseudo-Periodic Difference Equations

179

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S. P. Mohanty A Class of Diophantine Equations

186

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János Surányi A Divisibility Property Concerning Binomial Coefficients

189

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Gregory Wulczyn Formation of Generalized F-L Identities of the Form ∑r=1nrsFkr+a

192

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Gregory Wulczyn Generalized Fibonacci-Lucas Difference Equations

202

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David W. Wall Conditions for Φ(N) to properly divide N-1

205

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Ray Steiner On Fibonacci Numbers of the Form x2+1

208

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Robert J. Kinney Fibonacci Sequence Can Serve Physicians and Biologists

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H. Turner Laquer Values of Circulants With Integer Entries

212

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William H. Cornish Powers of Matrices and Recurrence Relations

217

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Ralph Fecke Convergence Properties of Linear Recursion Sequences

223

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