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. |
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| 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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