Title | Applications of Fibonacci Numbers [electronic resource] : 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 |
---|---|
Imprint | Dordrecht : Springer Netherlands, 1996 |
Connect to | http://dx.doi.org/10.1007/978-94-009-0223-7 |
Descript | XXVIII, 551 p. online resource |
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 Second-Order 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 Ayfi-1 -- 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 q-Factorial -- 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 Line-Sequence -- 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 Second-Order Linear Recurrences Modulo P-III -- Divisibility of Terms in Lucas Sequences of the Second Kind by their Subscripts -- On a Model of the Modular Group -- Properties of a k-Order Linear Recursive Sequence Modulo m -- Residue Counts Modulo Three for the Fibonacci Triangle -- On a Class of Congruences for Lucas Sequences