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Applications of Fibonacci Numbers

Proceedings of ‘The Fifth International Conference on Fibonacci Numbers and Their Applications’, The University of St. Andrews, Scotland, July 20—July 24, 1992

  • Conference proceedings
  • © 1993

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Editors:
  1. Gerald E. Bergum

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

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  2. Andreas N. Philippou

    1. Ministry of Education, Nicosia, Cyprus

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  3. Alwyn F. Horadam

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

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Table of contents (58 papers)

  1. Front Matter

    Pages i-xxxiv
    Download chapter PDF

  2. Multidimensional Golden Means

    • Peter G. Anderson
    Pages 1-9

  3. A Necessary and Sufficient Condition that Rays of a Star Configuration on Pascal’s Triangle Cover its Center with Respect to GCD and LCM

    • Shiro Ando, Daihachiro Sato
    Pages 11-36

  4. On the Minimal Center Covering Stars with Respect to GCD in Pascal’s Pyramid and its Generalizations

    • Shiro Ando, Daihachiro Sato
    Pages 37-43

  5. An Extension of an Old Classical Diophantine Problem

    • Joseph Arkin, David C. Arney, Frank R. Giordano, Rickey A. Kolb, Gerald E. Bergum
    Pages 45-48

  6. Fourier Analysis in Finite Nilpotent Groups

    • Huseyin Aydin, Geoff C. Smith
    Pages 49-59

  7. Wall and Vinson Revisited

    • Huseyin Aydin, Ramazan Dikici, Geoff C. Smith
    Pages 61-68

  8. Designer Decimals: Fractions which Contain Second Order Recursion Sequences in Their Decimal Expansions, Reading Left to Right or Right to Left

    • Marjorie Bicknell-Johnson
    Pages 69-75

  9. Semigroup Presentations and Number Sequences

    • Colin M. Campbell, Edmund F. Robertson, Richard M. Thomas
    Pages 77-83

  10. Counting the Number of Solutions of Congruences

    • Umberto Cerruti
    Pages 85-101

  11. On the Number of Overlapping Success Runs in a Sequence of Independent Bernoulli Trials

    • O. Chryssaphinou, S. Papastavridis, T. Tsapelas
    Pages 103-112

  12. Embedding Fibonacci Words into Fibonacci Word Patterns

    • Wai-fong Chuan
    Pages 113-122

  13. On Sums of Cubes of Fibonacci Numbers

    • Stuart Clary, Paul D. Hemenway
    Pages 123-136

  14. Integer Sided Triangles Whose Ratio of Altitude to Base is an Integer

    • Charles K. Cook, Gerald E. Bergum
    Pages 137-142

  15. On a Class of Iterative Recurrence Relations

    • Karl Dilcher
    Pages 143-158

  16. Discrete Operational Calculi for Two-sided Sequences

    • Ivan H. Dimovski, Virginia S. Kiryakova
    Pages 159-168

  17. Transformations of Fibonacci-Lucas Identities

    • L. A. G. Dresel
    Pages 169-184

  18. Fibonacci Numbers and Continued Fraction Expansions

    • Michael Drmota
    Pages 185-197

  19. The DFF and DFFz Triangles and Their Mathematical Properties

    • Marco Faccio, Giuseppe Ferri, Arnaldo D’Amico
    Pages 199-206

  20. Contributions from Cascaded Combinations to the Naming of Special Permutations

    • Daniel C. Fielder, Cecil O. Alford
    Pages 207-215
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Keywords

About this book

This book contains 58 papers from among the 68 papers presented at the Fifth International Conference on Fibonacci Numbers and Their Applications which was held at the University of St. Andrews, St. Andrews, Fife, Scotland from July 20 to July 24, 1992. 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 four predecessors, will be useful to research workers and graduate students interested in the Fibonacci numbers and their applications. June 5, 1993 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 Government House Z50 Nicosia, Cyprus xxv THE ORGANIZING COMMITTEES LOCAL COMMITTEE INTERNATIONAL COMMITTEE Campbell, Colin M., Co-Chair Horadam, A.F. (Australia), Co-Chair Phillips, George M., Co-Chair Philippou, A.N. (Cyprus), Co-Chair Foster, Dorothy M.E. Ando, S. (Japan) McCabe, John H. Bergum, G.E. (U.S.A.) Filipponi, P. (Italy) O'Connor, John J.

Editors and Affiliations

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

    Gerald E. Bergum

  • Ministry of Education, Nicosia, Cyprus

    Andreas N. Philippou

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

    Alwyn F. Horadam

Bibliographic Information

  • Book Title: Applications of Fibonacci Numbers

  • Book Subtitle: Proceedings of ‘The Fifth International Conference on Fibonacci Numbers and Their Applications’, The University of St. Andrews, Scotland, July 20—July 24, 1992

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

  • DOI: https://doi.org/10.1007/978-94-011-2058-6

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Kluwer Academic Publishers 1993

  • Hardcover ISBN: 978-0-7923-2491-1Published: 30 September 1993

  • Softcover ISBN: 978-94-010-4912-2Published: 21 October 2012

  • eBook ISBN: 978-94-011-2058-6Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XXXIV, 625

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

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