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Applications of Fibonacci Numbers

Volume 9: Proceedings of The Tenth International Research Conference on Fibonacci Numbers and Their Applications

  • Conference proceedings
  • © 2004

Overview

Editors:
  1. Frederic T. Howard

    1. Wake Forest University, Winston-Salem, USA

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Table of contents (28 papers)

  1. Front Matter

    Pages i-xxxiii
    Download chapter PDF

  2. Universal Bernoulli Polynomials and P-Adic Congruences

    • Arnold Adelberg
    Pages 1-8

  3. A Generalization of Durrmeyer-Type Polynomials and their Approximation Properties

    • Octavian Agratini
    Pages 9-18

  4. Fibinomial Identities

    • Arthur T. Benjamin, Jennifer J. Quinn, Jeremy A. Rouse
    Pages 19-24

  5. Recounting Binomial Fibonacci Identities

    • Arthur T. Benjamin, Jeremy A. Rouse
    Pages 25-28

  6. The Fibonacci Diatomic Array Applied to Fibonacci Representations

    • Marjorie Bicknell-Johnson
    Pages 29-38

  7. On Purple Parrots, Fibonacci Numbers, and Color Theory

    • Marjorie Bicknell-Johnson
    Pages 39-42

  8. Finding Fibonacci in a Fractal

    • Nathan C. Blecke, Kirsten Fleming, George William Grossman
    Pages 43-62

  9. Positive Integers (a 2 + b 2)/(ab + 1) are Squares

    • Jens-P. Bode, Heiko Harborth
    Pages 63-67

  10. On the Fibonacci Length of Powers of Dihedral Groups

    • C. M. Campbell, P. P. Campbell, H. Doostie, E. F. Robertson
    Pages 69-85

  11. Some Sums Related to Sums of Oresme Numbers

    • Charles K. Cook
    Pages 87-99

  12. Some Thoughts on Rook Polynomials on Square Chessboards

    • Dan Fielder
    Pages 101-108

  13. Pythagorean Quadrilaterals

    • Robert Hochberg, Glenn Hurlbert
    Pages 109-119

  14. A General Lacunary Recurrence Formula

    • F. T. Howard
    Pages 121-135

  15. Ordering Words and Sets of Numbers: The Fibonacci Case

    • Clark Kimberling
    Pages 137-144

  16. Some Basic Properties of a Tribonacci Line-Sequence

    • Jack Y. Lee
    Pages 145-157

  17. A Type of Sequence Constructed from Fibonacci Numbers

    • Aihua Li, Sindhu Unnithan
    Pages 159-166

  18. Cullen Numbers in Binary Recurrent Sequences

    • Florian Luca, Pantelimon Stănică
    Pages 167-175

  19. A Generalization of Euler’s Formula and its Connection to Fibonacci Numbers

    • Jonathan F. Mason, Richard H. Hudson
    Pages 177-185

  20. Extensions of Generalized Binomial Coefficients

    • Richard L. Ollerton, Anthony G. Shannon
    Pages 187-199
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Keywords

About this book

This book contains 28 research articles from among the 49 papers and abstracts presented at the Tenth International Conference on Fibonacci Numbers and Their Applications. These articles have been selected after a careful review by expert referees, and they range over many areas of mathematics. The Fibonacci numbers and recurrence relations are their unifying bond. We note that the article "Fibonacci, Vern and Dan" , which follows the Introduction to this volume, is not a research paper. It is a personal reminiscence by Marjorie Bicknell-Johnson, a longtime member of the Fibonacci Association. The editor believes it will be of interest to all readers. It is anticipated that this book, like the eight predecessors, will be useful to research workers and students at all levels who are interested in the Fibonacci numbers and their applications. March 16, 2003 The Editor Fredric T. Howard Mathematics Department Wake Forest University Box 7388 Reynolda Station Winston-Salem, NC 27109 xxi THE ORGANIZING COMMITTEES LOCAL COMMITTEE INTERNATIONAL COMMITTEE Calvin Long, Chairman A. F. Horadam (Australia), Co-Chair Terry Crites A. N. Philippou (Cyprus), Co-Chair Steven Wilson A. Adelberg (U. S. A. ) C. Cooper (U. S. A. ) Jeff Rushal H. Harborth (Germany) Y. Horibe (Japan) M. Bicknell-Johnson (U. S. A. ) P. Kiss (Hungary) J. Lahr (Luxembourg) G. M. Phillips (Scotland) J. 'Thrner (New Zealand) xxiii xxiv LIST OF CONTRlBUTORS TO THE CONFERENCE * ADELBERG, ARNOLD, "Universal Bernoulli Polynomials and p-adic Congruences. " *AGRATINI, OCTAVIAN, "A Generalization of Durrmeyer-Type Polynomials. " BENJAMIN, ART, "Mathemagics.

Editors and Affiliations

  • Wake Forest University, Winston-Salem, USA

    Frederic T. Howard

Bibliographic Information

  • Book Title: Applications of Fibonacci Numbers

  • Book Subtitle: Volume 9: Proceedings of The Tenth International Research Conference on Fibonacci Numbers and Their Applications

  • Editors: Frederic T. Howard

  • DOI: https://doi.org/10.1007/978-0-306-48517-6

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 2004

  • Hardcover ISBN: 978-1-4020-1938-8Published: 31 March 2004

  • Softcover ISBN: 978-90-481-6545-2Published: 30 December 2010

  • eBook ISBN: 978-0-306-48517-6Published: 29 February 2004

  • Edition Number: 1

  • Number of Pages: XXXIII, 311

  • Topics: Number Theory, Combinatorics, Special Functions, Field Theory and Polynomials, Discrete Mathematics in Computer Science

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