Dewey Class 
512.7 
Title 
Applications of Fibonacci Numbers ([EBook] :) : 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 / / edited by Gerald E. Bergum, Andreas N. Philippou, Alwyn F. Horadam. 
Added Personal Name 
Bergum, Gerald E. editor. 
Philippou, Andreas N. editor. 
Horadam, Alwyn F. editor. 
Other name(s) 
SpringerLink (Online service) 
Publication 
Dordrecht : : Springer Netherlands, , 1996. 
Physical Details 
XXVIII, 551 p. : online resource. 
ISBN 
9789400902237 
Summary Note 
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 1822, 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., CoChair Horadam, A.F. (Australia), CoChair Webb, William A., CoChair Philippou, A.N. (Cyprus), CoChair Burke, John Ando, S. (Japan) DeTemple, Duane W.: 
Contents note 
Advances in Linear Pixel Shuffling  Minimal Center Covering Stars with Respect to LCM in Pascal’s Pyramid and its Generalizations  Multiple Color Version of the Star of David Theorems on Pascal’s Triangle and Related Arrays of Numbers  Some Remarks on the Distribution of Second Order Recurrences and a Related Group Structure  Matrices, Recurrent Sequences and Arithmetic  Vector Linear Recurrent Sequences in Commutative Rings  Subwords of the Golden Sequence and the Fibonacci Words  Interesting Arrays Associated with Fibonacci Sequences  More Applications of a Partition Driven Symmetric Table  Partial Derivative Sequences of SecondOrder Recurrence Polynomials  The Zeckendorf Decomposition of Certain Classes of Integers  On The Sum of Consecutive Squares  Rado Numbers of Fibonacci Sequences and a Problem of S. Rabinowitz  Rooks on Fibonacci Boards  Tiling with Cuisenaire Rods  Hofstadter’s Conjecture for Ayfi1  Recursive Properties of Trigonometric Products  A Synthesis of Certain Polynomial Sequences  Minmax Sequences for Pell Numbers  On Dichotomous Complexity of the Fibonacci Tree  Formulas of Ramanujan Involving Lucas Numbers, Pell Numbers, and Bernoulli Numbers  Counting Sets of Integers with Various Summation Properties  Factorial and Binomial Coefficients in Polynomial Rings over Finite Fields  An Identity Involving the qFactorial  Gcd Properties of an Octagon  Products and Quotients of Difference Equations  The Wythoff and the Zeckendorf Representations of Numbers are Equivalent  Some Basic Translational Properties of the General Fibonacci LineSequence  Pentagonal Numbers in Fibonacci Sequence  On Reciprocal Sums of Second Order Sequences  Solving Linear Recurrences from Differential Equations in the Exponential Manner and Vice Versa  The Rational Heart of Integer Fibonacci Pentagons  Algorithmic Manipulation of Fibonacci Identities  On Lucas Pseudoprimes of the Form Ax2 + Bxy + Cy2  On Certain Rational Expressions whose Prime Divisors are Cubic Residues (Mod P)  A Search for Solutions of a Functional Equation  A Use of Generalized Fibonacci Numbers in Finding Quadratic Factors  Distribution of Residues of Certain SecondOrder Linear Recurrences Modulo PIII  Divisibility of Terms in Lucas Sequences of the Second Kind by their Subscripts  On a Model of the Modular Group  Properties of a kOrder Linear Recursive Sequence Modulo m  Residue Counts Modulo Three for the Fibonacci Triangle  On a Class of Congruences for Lucas Sequences. 
System details note 
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) 
Internet Site 
http://dx.doi.org/10.1007/9789400902237 
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