Applications of Fibonacci Numbers

On The Generalized Binomial Coefficients Defined by Strong Divisibility Sequences.- On Triangles and Squares Marked with Goldpoints—Studies of Golden Tiles.- Multivariate Pascal Polynomials of Order K with Probability Applications.- Fibonacci Planes and Spaces.- The Smallest Positive Integer Having Fk Representations as Sums of Distinct Fibonacci Numbers.- The Zeckendorf-Wythoff Array Applied to Counting the Number of Representations of N as Sums of Distinct Fibonacci Numbers.- Composing With Sequences: …But is It Art?.- Invariants for Linear Recurrences.- Base 10 RATS Cycles and Arbitrarily Long Base 10 RATS Cycles.- Quintics x5 - 5x - k, the Golden Section, and Square Lucas Numbers.- The Pascal-De Moivre Moments and Their Generating Functions.- Investigating Special Binary Sequences with Some Computer Help.- Integration Sequences of Jacobsthal and Jacobsthal-Lucas Polynomials.- A Property of the Unit Digits of Recursive Sequences.- On General Divisibility of Sums of Integral Powers of the Golden Ratio.- Sylvester’s Algorithm and Fibonacci Numbers.- On the Characteristic Polynomial of the J-th Order Fibonacci Sequence.- Quasi Morgan-Voyce Polynomials and Pell Convolutions.- On an Asymptotic Maximality of the Fibonacci Tree.- Generalizations of a Fibonacci Identity.- Some Generalizations of Wolstenholme’s Theorem.- Card Sorting Related to Fibonacci Numbers.- On the Inhomogeneous Geometric Line-Sequence.- Fibonacci Numbers of the Form k2 + k + 2.- On Certain Polynomials of Even Subscripted Lucas Numbers.- On the Rank of Appearance of Lucas Sequences.- Algorithmic Simplification of Reciprocal Sums.- Solved and Unsolved Problems on Pseudoprime Numbers and Their Generalizations.- Some Relationships among Vieta, Morgan-Voyce and Jacobsthal Polynomials.- SpecialMultipliers of Lucas Sequences Modulo pr.- Digital Halftoning Using Error Diffusion and Linear Pixel Shuffling.- On Vector Sequence Recurrence Equations in Fibonacci Vector Geometry.- Constructing Identities Involving Kth-Order F-L Numbers by Using the Characteristic Polynomial.