Book 1996

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

ISBN: 978-94-010-6583-2 (Print) 978-94-009-0223-7 (Online)

Table of contents (43 chapters)

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  1. Front Matter

    Pages i-xxviii

  2. Chapter

    Pages 1-21

    Advances in Linear Pixel Shuffling

  3. Chapter

    Pages 23-30

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

  4. Chapter

    Pages 31-45

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

  5. Chapter

    Pages 47-52

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

  6. Chapter

    Pages 53-62

    Matrices, Recurrent Sequences and Arithmetic

  7. Chapter

    Pages 63-72

    Vector Linear Recurrence Sequences in Commutative Rings

  8. Chapter

    Pages 73-84

    Subwords of the Golden Sequence and the Fibonacci Words

  9. Chapter

    Pages 85-92

    Interesting Arrays Associated with Fibonacci Sequences

  10. Chapter

    Pages 93-103

    More Applications of a Partition Driven Symmetric Table

  11. Chapter

    Pages 105-122

    Partial Derivative Sequences of Second-Order Recurrence Polynomials

  12. Chapter

    Pages 123-135

    The Zeckendorf Decomposition of Certain Classes of Integers

  13. Chapter

    Pages 137-142

    On the Sum of Consecutive Squares

  14. Chapter

    Pages 143-153

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

  15. Chapter

    Pages 155-163

    Rooks on Fibonacci Boards

  16. Chapter

    Pages 165-171

    Tiling with Cuisenaire Rods

  17. Chapter

    Pages 173-199

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

  18. Chapter

    Pages 201-214

    Recursive Properties of Trigonometric Products

  19. Chapter

    Pages 215-229

    A Synthesis of Certain Polynomial Sequences

  20. Chapter

    Pages 231-249

    Minmax Sequences for Pell Numbers

  21. Chapter

    Pages 251-256

    On Dichotomous Complexity of the Fibonacci Tree

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