The Eleventh International Conference on Fibonacci Numbers and Their Applications

July 5 - July 9, 2004
Technical University Carolo-Wilhelmina
Braunschweig, Germany

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PROGRAM OF SPEAKERS
All sessions will be held in the Aula in Pockelsstr. 11 at the corner of Rebenring.

First Day Monday July 5, 2004

7:30 - 9:00 Registration (Aula Pockelsstr. 11)
9:00 - 9:15 Welcome by the Dean of the Fachbereich fuer Mathematik und Informatik
9:15 - 9:30 Announcements
Monday Morning Session - Moderated by Bill Webb
9:30 - 9:50 Fredric T. Howard (Chizhong Zhou):
Sums of Powers of Generalized Fibonacci Numbers
9:50 - 10:10 Larry Ericksen:
Golden Tuple Products
10:10 - 10:30   Curtis Cooper (Richard Parry Jr.):
Factorization of Some Periodic Linear Recurrence Systems
10:30 - 11:00 Break For Refreshments
11:00 - 11:20 Clark Kimberling:
Binary Words with Restricted Repetitions and Associated Compositions of Integers
11:20 - 11:40 C.M. Campbell (Peter P. Campbell):
The Fibonacci Lengths of Binary Polyhedral Groups and Related Groups
11:40 - 12:00 Lawrence Somer:
Generalization of a Theorem of Jarden
Monday Afternoon Session - Moderated by Fred Howard
1:30 - 1:50 Haruo Hosoya:
Unified Graph-Theoretic Reorganization and Interpretation of the Family of Recursive Series and Polynomials of Fibonacci, Lucas, and Pell
1:50 - 2:10 Yaroslav A. Latushkin:
Some Representation of the Recurrent Sequence by the Previous Terms
2:10 - 2:30 George Grossman (Aklilu Zeleke, Akalu Tefera):
On Proofs of Certain Combinatorial Identities
2:30 - 2:50 William A. Webb:
An Algorithm for Proving Arbitrary Identities Involving Linear Recurrence Sequences
2:50 - 3:20 Break For Refreshments
3:20 - 3:40 A.G. Shannon (K.T. Atanassov):
An Extremal Problem Related to the Fibonacci Sequence
3:40 - 4:00 Zvonko Cerin:
On Sums of Odd and Even Terms of the Lucas Sequence
4:00 - 4:20 Radu Teodorescu:
Solving Linear Recurrence Relations
6:00 - 8:00 Wine and Cheese Reception, Pockelsstr.4

Second Day Tuesday July 6, 2004

Tuesday Morning Session - Moderated by Peter Anderson
9:00 - 9:20 Yongzhi (Peter) Yang:
A Generalized Pascal Matrix and its Applications
9:20 - 9:40 Karl Dilcher:
A Pascal-type Triangle Characterizing Twin Primes
9:40 - 10:00 John C. Turner:
Fibonacci Tracks in Quadratic Fields
10:00 - 10:30 Break For Refreshments
10:30 - 10:50 Marjorie Bicknell-Johnson (Peter G. Anderson):
Representations Using Negatively Subscripted Fibonacci and Tribonacci Numbers with Applications
10:50 - 11:10 P. Kocábová:
Integers with Maximal Number of Fibonacci Representations
11:10 - 11:30 Tamás Lengyel:
On Calculating the Sprague-Grundy Function for the Game Euclid
11:30 - 11:50 Evangelos Tzanis:
Collatz Conjecture and Other Similar Problems: Properties and Algorithms
Tuesday Afternoon Session - Moderated by Marjorie Johnson
1:30 - 1:50 Pantelimon Stanica (Florian Luca):
Fibonacci Numbers of the Form pa±pb
1:50 - 2:10 Florian Luca (Pantelimon Stanica):
Fibonacci Numbers which are not Sums of Two Prime Powers
2:10 - 2:30 Neville Robbins:
On the Number of Quadratic Non-Residues That Are Not Primitive Roots (mod p)
2:30 - 3:00 Break For Refreshments
3:00 - 3:20 Mark Bollman (George Grossman):
Sums of Consecutive Factorials in the Fibonacci Sequence
3:20 - 3:40 Sandi Klavzar (Petra Zigert):
Fibonacci Cubes are the Resonance Graphs of Fibonaccenes
3:40 - 4:00 Yohei Tachiya:
Transcendence of Certain Infinite Products

Third Day Wednesday July 7, 2004

Wednesday Morning Session - Moderated by Karl Dilcher
9:00 - 9:20 Arthur Benjamin (Timothy Carnes):
Counting the Sums of Cubes of Fibonacci Numbers
9:20 - 9:40 Doron Zeilberger:
A Fibonacci-Counting Proof Begged by Benjamin and Quinn
9:40 - 10:00 William A. Webb (N. D. Criddle, D. W. DeTemple):
Combinatorial Chessboard Tilings
10:00 - 10:30 Break For Refreshments
10:30 - 10:50 Richard L. Ollerton:
Diagonal Sums of Pascal's Triangle
10:50 - 11:10 N.H. Bong:
Lucas Matrices and Matrix Representations of Lucas Numbers
Wednesday Afternoon
12:30 - 22:30 Visit to the Antostadt at Wolfsburg

Fourth Day Thursday July 8, 2004

Thursday Morning Session - Moderated by Helen Grundman
9:00 - 9:20 Lawrence Somer:
Period Patterns of Certain kth-Order Linear Recurrences Over a Finite Field
9:20 - 9:40 Joaquim Eurico A.D. Nogueira:
The Least Period of the Ratio Sequence
9:40 - 10:00 Christian Ballot:
A Weak Generalization of Ordinary Lucas Sequences Involving the Sequence {AN+BN+CN}N≥0
10:00 - 10:30 Break For Refreshments
10:30 - 10:50 A.F. Horadam (A.G. Shannon, Peter G. Anderson):
Some Algebraic Properties of Some Numbers Related to Architecture
10:50 - 11:10 A.G. Shannon (Peter G. Anderson, A.F. Horadam):
Numerical Properties of Some Numbers Related to Architecture
11:10 - 11:30 George M. Phillips:
Index-doubling in Sequences by Aitken Acceleration
Thursday Afternoon Session - Moderated by Gerald Bergam
1:30 - 1:50 H.G. Grundman (L.L. Hall):
Solutions to xyz = x+y+z = 1 in Quintic Number Rings
1:50 - 2:10 Kenneth S. Berenhaut (Daniel C. Morton, Ying Wai Fan):
Bounds for Second Order Recurrences in Terms of Maximal Products over Integer Partitions
2:10 - 2:30 Ping Ding:
Monochromatic Representations of Quadratic Polynomials
2:30 - 3:00 Break For Refreshments
3:00 - 3:20 Jonathan Sondow:
Irrationality Measures, Continued Fractions, and Fibonacci Numbers
3:20 - 3:30 John C. Turner:
Note on Proofs of Irrationality of Roots of Natural Numbers
3:30 - 4:30 Problem Session:
Clark Kimberling will lead an informal problem session. Everyone is invited to submit your questions.
7:30 Banquet at Restaurant Lindenhof, Kasernenstr.

Fifth Day Friday July 9, 2004

Friday Morning Session - Moderated by Clark Kimberling
9:00 - 9:20 Iekata Shiokawa:
<q,r> Number Systems and Algebraic Independence
9:20 - 9:40 S. Brlek (V. Berthé, P. Choquette):
A New Characterization of the Fibonacci Word
9:40 - 10:00 Yasuichi Horibe (Ippei Tajima):
Fibonacci Digraph and Its Entropy
10:00 - 10:30 Break For Refreshments
10:30 - 10:50 Janet Mc Shane (Michael Ratliff):
Fibonacci-Like Sequences of Apollonian Circle Packings
10:50 - 11:10 Paul K. Stockmeyer:
Binary Sequences, Braids, and Bidiagonal Matrices
11:10 - 11:30 Kenji Nagasaka (Tomokazu Takahashi, Hideyuki Miyazaki):
Elliot Wave Theory with Fibonacci Ratio in Stock Market and Fractal Dimension
11:30 - 11:50 G.K. Panda:
Some Fascinating Properties of Balancing Numbers
Friday Afternoon Session - Moderated by A.F. Horadam
1:30 - 1:50 A. Paszkiewicz (A. Rotkiewicz):
On Pseudoprimes of the Form an-a
1:50 - 2:10 Anthony Sofo:
On Abel Polynomials
2:10 - 2:30 Tom C. Brown:
A simple proof of Lerch's formula
2:30 - 3:00 Break For Refreshments
3:00 Business Meeting