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Applications of Fibonacci Numbers

Volume 8: Proceedings of The Eighth International Research Conference on Fibonacci Numbers and Their Applications

  • Conference proceedings
  • © 1999

Overview

Editors:
  1. Fredric T. Howard

    1. Department of Mathematics and Computer Science, Wake Forest University, Winston-Salem, USA

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Table of contents (33 papers)

  1. Front Matter

    Pages i-xxiv
    Download chapter PDF

  2. On the Generalized Binomial Coefficients Defined by Strong Divisibility Sequences

    • Shiro Ando, Daihachiro Sato
    Pages 1-10

  3. On Triangles and Squares Marked with Goldpoints—Studies of Golden Tiles

    • Vassia K. Anatassova, J. C. Turner
    Pages 11-25

  4. Multivariate Pascal Polynomials of Order K with Probability Applications

    • Demetrios L. Antzoulakos, Andreas N. Philippou
    Pages 27-41

  5. Fibonacci Planes and Spaces

    • K. T. Atanassov, A. G. Shannon
    Pages 43-46

  6. The Smallest Positive Integer Having Fk Representations as Sums of Distinct Fibonacci Numbers

    • Marjorie Bicknell-Johnson
    Pages 47-52

  7. The Zeckendorf-Wythoff Array Applied to Counting the Number of Representations of N as Sums of Distinct Fibonacci Numbers

    • Marjorie Bicknell-Johnson
    Pages 53-60

  8. Composing with Sequences: …But is It Art?

    • John A. Biles
    Pages 61-73

  9. Invariants for Linear Recurrences

    • Mihai Caragiu, William Webb
    Pages 75-81

  10. Base 10 RATS Cycles and Arbitrarily Long Base 10 RATS Cycles

    • Curtis Cooper, Robert E. Kennedy
    Pages 83-93

  11. Quintics x5-5x-k, the Golden Section, and Square Lucas Numbers

    • Michele Elia, Piero Filipponi
    Pages 95-101

  12. The Pascal-De Moivre Moments and Their Generating Functions

    • Larry Ericksen
    Pages 103-120

  13. Investigating Special Binary Sequences with Some Computer Help

    • Daniel C. Fielder, Cecil O. Alford
    Pages 121-128

  14. Integration Sequences of Jacobsthal and Jacobsthal-Lucas Polynomials

    • Piero Filipponi, Alwyn F. Horadam
    Pages 129-139

  15. A Property of the Unit Digits of Recursive Sequences

    • Herta T. Freitag, Marjorie Bicknell-Johnson, George M. Phillips
    Pages 141-148

  16. On General Divisibility of Sums of Integral Powers of the Golden Ratio

    • Herta T. Freitag, Daniel C. Fielder
    Pages 149-154

  17. Sylvester’s Algorithm and Fibonacci Numbers

    • Herta T. Freitag, George M. Phillips
    Pages 155-163

  18. On the Characteristic Polynomial of the j-TH Order Fibonacci Sequence

    • George W. Grossman, Sivaram K. Narayan
    Pages 165-177

  19. Quasi Morgan-Voyce Polynomials and Pell Convolutions

    • A. F. Horadam
    Pages 179-193

  20. On an Asymptotic Maximality of the Fibonacci Tree

    • Yasuichi Horibe
    Pages 195-200
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Keywords

About this book

This book contains 33 papers from among the 41 papers presented at the Eighth International Conference on Fibonacci Numbers and Their Applications which was held at the Rochester Institute of Technology, Rochester, New York, from June 22 to June 26, 1998. These papers have been selected after a careful review by well known referees in the field, and they range from elementary number theory to probability and statistics. The Fibonacci numbers and recurrence relations are their unifying bond. It is anticipated that this book, like its seven predecessors, will be useful to research workers and graduate students interested in the Fibonacci numbers and their applications. June 1, 1999 The Editor F. T. Howard Mathematics and Computer Science Wake Forest University Box 7388 Reynolda Station Winston-Salem, NC USA xvii THE ORGANIZING COMMITTEES LOCAL COMMITTEE INTERNATIONAL COMMITTEE Anderson, Peter G. , Chairman Horadam, A. F. (Australia), Co-Chair Arpaya, Pasqual Philippou, A. N. (Cyprus), Co-Chair Biles, John Bergum, G. E. (U. S. A. ) Orr, Richard Filipponi, P. (Italy) Radziszowski, Stanislaw Harborth, H. (Germany) Rich, Nelson Horibe, Y. (Japan) Howard, F. (U. S. A. ) Johnson, M. (U. S. A. ) Kiss, P. (Hungary) Phillips, G. M. (Scotland) Turner, J. (New Zealand) Waddill, M. E. (U. S. A. ) xix LIST OF CONTRIBUTORS TO THE CONFERENCE AGRATINI, OCTAVIAN, "Unusual Equations in Study. " *ANDO, SHIRO, (coauthor Daihachiro Sato), "On the Generalized Binomial Coefficients Defined by Strong Divisibility Sequences. " *ANATASSOVA, VASSIA K. , (coauthor J. C.

Editors and Affiliations

  • Department of Mathematics and Computer Science, Wake Forest University, Winston-Salem, USA

    Fredric T. Howard

Bibliographic Information

  • Book Title: Applications of Fibonacci Numbers

  • Book Subtitle: Volume 8: Proceedings of The Eighth International Research Conference on Fibonacci Numbers and Their Applications

  • Editors: Fredric T. Howard

  • DOI: https://doi.org/10.1007/978-94-011-4271-7

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 1999

  • Hardcover ISBN: 978-0-7923-6027-8Published: 30 November 1999

  • Softcover ISBN: 978-94-010-5851-3Published: 22 December 2012

  • eBook ISBN: 978-94-011-4271-7Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XXIV, 384

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

  • Industry Sectors: IT & Software

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