Fibonacci Numbers and Their Applications

Abstract

Fibonaccene.- On a Class of Numbers Related to Both the Fibonacci and Pell Numbers.- A Property of Unit Digits of Fibonacci Numbers.- Some Properties of the Distributions of Order k.- Convolutions for Pell Polynomials.- Cyclotomy-Generated Polynomials of Fibonacci Type.- On Generalized Fibonacci Process.- Fibonacci Numbers of Graphs III: Planted Plane Trees.- A Distribution Property of Second-Order Linear Recurrences.- On Lucas Pseudoprimes which are Products of s Primes.- Fibonacci and Lucas Numbers and the Morgan-Voyce Polynomials in Ladder Networks and in Electric Line Theory.- Infinite Series Summation Involving Reciprocals of Pell Polynomials.- Fibonacci and Lucas Numbers and Aitken Acceleration.- On Sequences having Third-Order Recurrence Relations.- On the Solution of the Equation G n = P(x).- Distributions and Fibonacci Polynomials of Order k, Longest Runs, and Reliability of Consecutive-k-Out-Of-n : F Systems.- Fibonacci-Type Polynomials and Pascal Triangles of Order k.- A Note on Fibonacci and Related Numbers in the Theory of 2 x 2 Matrices.- Problems on Fibonacci Numbers and Their Generalizations.- Linear Recurrences having almost all Primes as Maximal Divisors.- On the Asymptotic Distribution of Linear Recurrence Sequences.- Golden Hops Around a Circle.