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Applications of Fibonacci Numbers

Volume 6 Proceedings of ‘The Sixth International Research Conference on Fibonacci Numbers and Their Applications’, Washington State University, Pullman, Washington, U.S.A., July 18-22, 1994

  • Conference proceedings
  • © 1996

Overview

Editors:
  1. Gerald E. Bergum

    1. Computer Science Department, South Dakota State University, Brookings, USA

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  2. Andreas N. Philippou

    1. Aglangia, Nicosia, Cyprus

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  3. Alwyn F. Horadam

    1. Department of Mathematics, Statistics and Computer Science, The University of New England, Armidale, Australia

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Table of contents (43 papers)

  1. Front Matter

    Pages i-xxviii
    Download chapter PDF

  2. Advances in Linear Pixel Shuffling

    • Peter G. Anderson
    Pages 1-21

  3. Minimal Center Covering Stars with Respect to LCM in Pascal’s Pyramid and its Generalizations

    • Shiro Ando, Daihachiro Sato
    Pages 23-30

  4. Multiple Color Version of the Star of David Theorems on Pascal’s Triangle and Related Arrays of Numbers

    • Shiro Ando, Daihachiro Sato
    Pages 31-45

  5. Some Remarks on the Distribution of Second Order Recurrences and a Related Group Structure

    • John R. Burke
    Pages 47-52

  6. Matrices, Recurrent Sequences and Arithmetic

    • Umberto Cerruti, Francesco Vaccarino
    Pages 53-62

  7. Vector Linear Recurrence Sequences in Commutative Rings

    • Umberto Cerruti, Francesco Vaccarino
    Pages 63-72

  8. Subwords of the Golden Sequence and the Fibonacci Words

    • Wai-fong Chuan
    Pages 73-84

  9. Interesting Arrays Associated with Fibonacci Sequences

    • M. N. Deshpande, G. E. Bergum
    Pages 85-92

  10. More Applications of a Partition Driven Symmetric Table

    • Daniel C. Fielder, Cecil O. Alford
    Pages 93-103

  11. Partial Derivative Sequences of Second-Order Recurrence Polynomials

    • Piero Filipponi, Alwyn F. Horadam
    Pages 105-122

  12. The Zeckendorf Decomposition of Certain Classes of Integers

    • Piero Filipponi, Herta T. Freitag
    Pages 123-135

  13. On the Sum of Consecutive Squares

    • H. T. Freitag, G. M. Phillips
    Pages 137-142

  14. Rado Numbers for Fibonacci Sequences and a Problem of S. Rabinowitz

    • Heiko Harborth, Silke Maasberg
    Pages 143-153

  15. Rooks on Fibonacci Boards

    • Heiko Harborth, Lothar Piepmeyer
    Pages 155-163

  16. Tiling with Cuisenaire Rods

    • E. O. Hare, P. Z. Chinn
    Pages 165-171

  17. Hofstadter’s Conjecture for \(\alpha = \sqrt 2 - 1\)

    • Russell Jay Hendel
    Pages 173-199

  18. Recursive Properties of Trigonometric Products

    • Russell Jay Hendel, Charles K. Cook
    Pages 201-214

  19. A Synthesis of Certain Polynomial Sequences

    • A. F. Horadam
    Pages 215-229

  20. Minmax Sequences for Pell Numbers

    • A. F. Horadam
    Pages 231-249
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Keywords

About this book

This book contains 43 papers form among the 55 papers presented at the Sixth International Conference on Fibonacci Numbers and Their Applications which was held at Washington State University, Pullman, Washington, from July 18-22, 1994. 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 five predecessors, will be useful to research workers and graduate students interested in the Fibonacci numbers and their applications. October 30, 1995 The Editors Gerald E. Bergum South Dakota State University Brookings, South Dakota, U.S.A. Alwyn F. Horadam University of New England Armidale, N.S.W., Australia Andreas N. Philippou 26 Atlantis Street Aglangia, Nicosia Cyprus xxi THE ORGANIZING COMMITTEES LOCAL COMMITTEE INTERNATIONAL COMMITTEE Long, Calvin T., Co-Chair Horadam, A.F. (Australia), Co-Chair Webb, William A., Co-Chair Philippou, A.N. (Cyprus), Co-Chair Burke, John Ando, S. (Japan) DeTemple, Duane W.

Editors and Affiliations

  • Computer Science Department, South Dakota State University, Brookings, USA

    Gerald E. Bergum

  • Aglangia, Nicosia, Cyprus

    Andreas N. Philippou

  • Department of Mathematics, Statistics and Computer Science, The University of New England, Armidale, Australia

    Alwyn F. Horadam

Bibliographic Information

  • Book Title: Applications of Fibonacci Numbers

  • Book Subtitle: Volume 6 Proceedings of ‘The Sixth International Research Conference on Fibonacci Numbers and Their Applications’, Washington State University, Pullman, Washington, U.S.A., July 18-22, 1994

  • Editors: Gerald E. Bergum, Andreas N. Philippou, Alwyn F. Horadam

  • DOI: https://doi.org/10.1007/978-94-009-0223-7

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Kluwer Academic Publishers 1996

  • Hardcover ISBN: 978-0-7923-3956-4Due: 29 February 1996

  • Softcover ISBN: 978-94-010-6583-2Published: 20 September 2011

  • eBook ISBN: 978-94-009-0223-7Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XXVIII, 551

  • Topics: Number Theory, Algebra, Statistics, general, Computational Mathematics and Numerical Analysis, Group Theory and Generalizations

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