Skip to main content
SpringerLink
Log in

Applications of Fibonacci Numbers

Volume 7

  • Book
  • © 1998

Overview

Editors:
  1. G. E. Bergum

    1. South Dakota State University, Brookings, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. A. N. Philippou

    1. House of Representatives, Nicosia, Cyprus

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  3. A. F. Horadam

    1. University of New England, Armidale, Australia

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (50 chapters)

  1. Front Matter

    Pages i-xxxvi
    Download chapter PDF

  2. Higher Order Bernoulli Polynomials and Newton Polygons

    • Arnold Adelberg
    Pages 1-8

  3. The Fibonacci Shuffle Tree

    • Peter G. Anderson
    Pages 9-16

  4. On The Period of Sequences Modulo a Prime Satisfying A Second order Recurrence

    • Shiro Ando
    Pages 17-22

  5. Generalizations to Large Hexagons of The Star of David Theorem with Respect to Gcd

    • Shiro Ando, Calvin Long, Daihachiro Sato
    Pages 23-28

  6. Longest Success and Failure Runs and New Polynomials Related to The Fibonacci-Type Polynomials of Order k

    • Demetrios L. Antzoulakos, Andreas N. Philippou
    Pages 29-38

  7. A Note on a Representation Conjecture By Hoggatt

    • Marjorie Bicknell-Johnson
    Pages 39-42

  8. Some Remarks on The Distribution of Subsequences of Second Order Linear Recurrences

    • John R. Burke
    Pages 43-47

  9. A Criterion For Stability of Two-Term Recurrence Sequences Modulo Odd Primes

    • Walter Carlip, Eliot Jacobson, Lawrence Somer
    Pages 49-60

  10. A Problem of Diophantus and Pell Numbers

    • Andrej Dujella
    Pages 61-68

  11. On the Exceptional Set in the Problem of Diophantus and Davenport

    • Andrej Dujella
    Pages 69-76

  12. Substitutive Numeration Systems and A Combinatorial Problem

    • J. M. Dumont
    Pages 77-82

  13. A Note on Derived Linear Recurring Sequences*

    • Michele Elia
    Pages 83-92

  14. Observations from Computer Experiments on An Integer Equation

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

  15. Some Probabilistic Aspects of the Zeckendorf Decomposition of Integers

    • Piero Filipponi, Herta T. Freitag
    Pages 105-114

  16. First Derivative Sequences of Extended Fibonacci and Lucas Polynomials

    • Piero Filipponi, Alwyn F. Horadam
    Pages 115-128

  17. Elements of Zeckendorf Arithmetic

    • H. T. Freitag, G. M. Phillips
    Pages 129-132

  18. Binomial Coefficients Generalized with Respect to a Discrete Valuation

    • Sophie Frisch
    Pages 133-144

  19. The Dying Fibonacci Tree

    • Bernhard Gittenberger
    Pages 145-152

  20. Smallest Integral Combinatorial Box

    • Heiko Harborth, Meinhard Möller
    Pages 153-159
Back to top

Keywords

Editors and Affiliations

  • South Dakota State University, Brookings, USA

    G. E. Bergum

  • House of Representatives, Nicosia, Cyprus

    A. N. Philippou

  • University of New England, Armidale, Australia

    A. F. Horadam

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation