Applications of Fibonacci Numbers

Advances in Linear Pixel Shuffling; P.G. Anderson. Minimal Center Covering Stars with Respect to LCM in Pascal's Pyramid and its Generalizations; S. Ando, D. Sato. Multiple Color Version of the Star of David Theorems on Pascal's Triangle and Related Arrays of Numbers; S. Ando, D. Sato. Some Remarks on the Distribution of Second Order Recurrences and a Related Group Structure; J.R. Burke. Matrices, Recurrent Sequences and Arithmetic; U. Cerruti, F. Vaccarino. Vector Linear Recurrent Sequences in Commutative Rings; U. Cerruti, F. Vaccarino. Subwords of the Golden Sequence and the Fibonacci Words; W.-F. Chuan. Interesting Arrays Associated with Fibonacci Sequences; M.N. Deshpande, G.E. Bergum. More Applications of a Partition Driven Symmetric Table; D.C. Fielder, C.O. Alford. Partial Derivative Sequences of Second-Order Recurrence Polynomials; P. Filipponi, A.F. Horadam. The Zeckendorf Decomposition of Certain Classes of Integers; P. Filipponi, H.T. Freitag. On the Sum of Consecutive Squares; H.T. Freitag, G.M. Phillips. Rado Numbers of Fibonacci Sequences and a Problem of S. Rabinowitz; H. Harborth, S. Maasberg. Rooks on Fibonacci Boards; H. Harborth, L. Piepmeyer. Tiling with Cuisenaire Rods; E. Hare, P. Chinn. Hofstadter's Conjecture for alphaSQRT2 - 1; R.J. Hendel. Recursive Properties of Trigonometric Products; R.J. Hendel, C.K. Cook. A Synthesis of Certain Polynomial Sequences; A.F. Horadam. On Dichotomous Complexity of the Fibonacci Tree; Y. Horibe. Formulas of Ramanujan Involving Lucas Numbers, Pell Numbers, and Bernoulli Numbers; F.T. Howard. Counting Sets of Integers with Various Summation Properties; D. Jennings. Factorial and Binomial Coefficients in Polynomial Rings over Finite Fields; W.A. Kimball. An Identify Involving the q-Factorial; Z.F. Koçak, G.M. Phillips. GCD Properties of an Octagon; E. Korntved. Products and Quotients of Difference Equations; J. Lahr. The Wythoff and the Zeckendorf Representations of Numbers are Equivalent; W. Lang. Some Basic Translational Properties of the General Fibonacci Line-Sequence; J.Y. Lee. Pentagonal Numbers in Fibonacci Sequence; M. Luo. On Reciprocal Sums of Second Order Sequences; R.S. Melham, A.G. Shannon. Solving Linear Recurrences from Differential Equations in the Exponential Manner and Vice Versa; W. Oberschelp. The Rational Heart of Integer Fibonacci Pentagons; B.E. Peterson, J.H. Jordan. Algorithmic Manipulation of Fibonacci Identities; S. Rabinowitz. On Lucas Pseudoprimes of the Form ax2 + bxy + cy2; A. Rotkiewicz. On Certain Rational Expressions whose Prime Divisors are Cubic Residues (Mod P); K.-I. Sato, S. Shirai. A Search for Solutions of a Functional Equation; A.G. Shannon, et al. A Use of Generalized Fibonacci Numbers in Finding Quadratic Factors; A.G. Shannon, et al. Distribution of Residues of Certain Second-Order Linear Recurrences Modulo P-III; L. Somer. Divisibility of Terms in Lucas Sequences of the Second Kind by Their Subscripts; L. Somer. On a Model of the Modular Group; J.C. Turner, A.G. Schaake. Properties of a k-Order Linear Recursive Sequence Modulo m; M.E. Waddill. Residue Counts Modulo Three for the Fibonacci Triangle; D.L. Wells. On a Class of Congruences for Lucas Sequences; P.T. Young. Subject Index.