The Tenth International Conference on Fibonacci Numbers and Their Applications

Program of Speakers

Please note: This program does not reflect any last-minute changes

Co-authors of the papers presented are listed (in parentheses).

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Day 1 - Monday, June 24
7:30 - 9:00 Registration (outside Wettaw Lecture Hall)
9:00 - 9:15 Welcoming address by Dr. David Best, Dean, College of Arts and Science, Northern Arizona University
9:15 - 9:30 Announcements
Monday Morning Session - Moderated by Fred Howard
9:30 - 9:50 Curtis Cooper
(Michael Wiemann)
Divisibility of an F-L Type Convolution
9:50 - 10:10 Tony Shannon
(A. F. Horadam)
Generalized Pell Numbers and Polynomials
10:10 - 10:30 Paul Bien A Numbered Icosahedron from India: Hidden Approximations
10:30 - 11:00 ** Coffee Break **
11:00 - 11:20 John C. Turner Some Congruences and Theorems in Goldpoint Geometry
11:20 - 11:40 Clark Kimberling Ordering Words and sets of Numbers: the Fibonacci Case
11:40 - 12:00 Jack Lee Some Basic Properties of a Tribonacci Line-Sequence
12:00 - 1:30 ** Lunch Break **
Monday Afternoon Session - Moderated by William Webb
1:30 - 1:50 Octavian Agratini A Generalization of Durrmeyer-Type Polynomials
1:50 - 2:10 Marjorie Johnson The Fibonacci Diatomic Array Applied to Fibonacci Representations
2:10 - 2:30 John H. Jaroma On the Rank of Apparition of Primes of the Form 2k p + or - 1
2:30 - 2:50 Joaquim Nogueira The Least Period for the Ratio Sequence
2:50 - 3:20 ** Coffee Break **
3:20 - 3:40 Iekata Shiokawa Irrationality and Transcendence Results on Reciprocal Sums of Fibonacci Numbers
3:40 - 4:00 R. L. Ollerton
(A. G. Shannon)
Extended Generalized Binomial Coefficients
4:00 - 4:20 Jeremy Rouse
(Arthur Benjamin)
Recounting Binomial Fibonacci Identities
4:35 Conference photograph, steps of Old Main, building #10
7:00 - 9:00 Wine and cheese reception in the art gallery of Old Main

Day 2 - Tuesday, June 25
Tuesday Morning Session - Moderated by Peter Anderson
9:00 - 9:20 Fred Howard A General Lacunary Recurrence Formula
9:20 - 9:40 Neville Robbins
(M. V. Subbarao)
Some Parity Results Regarding t-core Partitions
9:40 - 10:00 C. M. Campbell
(P. P. Campbell, H. Doostie,
E. F. Robertson)
On the Fibonacci Length of Powers of Dihedral Groups
10:00 - 10:20 Dan Fielder Some Thoughts on Rook Polynomials on Square Chessboards
10:20 - 10:50 ** Coffee Break **
10:50 - 11:10 Hei-Chi Chan On Random Fibonacci-Type Sequences
11:10 - 11:30 Aihua Li
(Sindhu Unnithan)
A Sequence Constructed From Fibonacci Numbers
11:30 - 11:50 C. T. Flynn Precise Approximations
11:50 - 12:10 Yaroslav Latushkin
(Vladimir Ushakov)
The Representation of Recurrent Sequences
12:10 - 1:30 ** Lunch Break **
Tuesday Afternoon Session - Moderated by Marjorie Johnson
1:30 - 1:50 Yongzhi Yang Using Pascal Matrix Decomposition to Develop Row-Generating Functions of Geometric-Progression Arrays
1:50 - 2:10 Nathan Blecke
(George Grossman,
Kristin Flemming)
Finding Fibonacci in Fractals
2:10 - 2:30 Paul Stockmeyer The Stealth Fractal
2:30 - 2:50 Jonathan Mason
(Richard Hudson)
A Generalization of Euler's Formula and its Connection to Fibonacci Numbers
2:50 - 3:20 ** Coffee Break **
3:20 - 3:40 Eric Egge
(Tofik Mansour)
Restricted Permutations, Fibonacci Numbers, and k-Generalized Fibonacci Numbers
3:40 - 4:00 Osman Yürekli
(Jeff Chamberlein,
Nate Higgins)
M-Bonacci Numbers and their Finite Sums
4:00 - 5:00 Problem Session
Clark Kimberling will lead an infomral problem session. Everyone is invited to participate.

Day 3 - Wednesday, June 26
Wednesday Morning Session - Moderated by Helen Grundman
9:00 - 9:20 Charles Cook Some Sums Related to Sums of Oresme Numbers
9:20 - 9:40 A. F. Horadam Chebyshev and Pell Connections
9:40 - 10:00 Ken Berenhaut Recurrences with Restricted Coefficients
10:00 - 10:20 Shigeru Nakamura THE BOOK Proof that the Golden Number is Irrational
10:20 - 10:50 ** Coffee Break **
10:50 - 11:30 Art Benjamin "Mathemagics"
12:00 Excursion to Grand Canyon.
Board buses outside Mountain View Hall.

Day 4 - Thursday, June 27
Thursday Morning Session - Moderated by Karl Dilcher
9:00 - 9:20 Pantelimon Stanica
(Florian Luca)
Cullen Numbers in Second Order Recurrent Sequences
9:20 - 9:40 Marjorie Johnson On Purple Parrots, Fibonacci Numbers, and Color Theory
9:40 - 10:00 Florian Luca Palindromic Fibonacci Numbers
10:00 - 10:20 Andrzej Rotkiewicz Fibonacci and Frobenius Pseudoprimes
10:20 - 10:50 ** Coffee Break **
10:50 - 11:10 Naotaka Imada Relationships Between Convolutions of Signed Ballot Numbers and Catalan Numbers
11:10 - 11:30 Arnold Adelberg Universal Bernoulli Polynomials and p-adic Congruences
11:30 - 11:50 Jayden D. Harman Application of the Fibonacci Sequence to High Efficiency Design Geometry
11:50 - 12:10 Yaroslav Latushkin
(Vladimir Ushakov)
The Algorithm of Solution of Diophantine Equation ax2 - by2 = c
12:10 - 1:30 ** Lunch Break **
Thursday Afternoon Session - Moderated by Arnold Adelberg
1:30 - 1:50 Tom C. Brown
(Peter Shiue, Alan Freedman)
Progressions of Squares
1:50 - 2:10 John C. Turner Some Applications of Triangle Transformations in Fibonacci Geometry
2:10 - 2:30 Heiko Harborth Positive Integers (a2 + b2)/(ab + 1) are Squares
2:30 - 2:50 Michele Elia A Class of Triangles with Minimal Area Related to Fibonacci Numbers
2:50 - 3:20 ** Coffee Break **
3:20 - 3:40 Sam Northshield On Certain Sequences Arising From Apollonian Circle Packings
3:40 - 4:00 Russell Jay Hendel Consequences of Explicit Factorizations of Sums of Fibonacci Numbers
4:00 - 4:20 Glenn Hurlbert
(Rob Hochberg)
Pythagorean Quadruples
4:20 - 4:40 Larry Somer A Further Note on Lucasian Numbers

Day 5 - Friday, June 28
Friday Morning Session - Moderated by Gerald Bergum
9:00 - 9:20 William A. Webb Cryptography and Lucas Sequence Discrete Logarithms
9:20 - 9:40 Karl Dilcher
(K. B. Stolarsky)
Resultants of Chebyshev and Related Polynomials
9:40 - 10:00 Tony Shannon
(V. K. Atanassova,
K. T. Atanassov)
On 'Fibonacci Bang' or a new Extension of the Fibonacci Sequence
10:00 - 10:20 Anthony Sofo From the Lambert Series to Abel Polynomials
10:20 - 10:50 ** Coffee Break **
10:50 - 11:10 Arthur Benjamin
(Jennifer Quinn,
Jeremy Rouse)
Fibinomial Identities
11:10 - 11:30 Richard McIntosh On the Search for Wieferich Primes
11:30 - 11:50 Gary Walsh Squares in Lucas-Lehmer Sequences and Classical Quartic Diophantine Equations
11:50 - 12:10 Barbara Brunner The Composition of Number
12:10 - 1:30 ** Lunch Break **
Friday Afternoon Session - Moderated by Clark Kimberling
1:30 - 1:50 Irina Peterburgsky Fibonacci Numbers in Undergraduate Mathematics
1:50 - 2:10 Dan Fielder Lexicographic Counting of Combinations
2:10 - 2:30 Yaroslav Latushkin The Representation of Right Subsequences of Recurrent Sequences
2:30 - 2:50 Fred Howard
(Chizhong Zhou)
F-L Representation of Division of Polynomials over a Ring
2:50 - 3:20 ** Coffee Break **
3:20 Business Meeting

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Last update: May 29, 2002