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math.NT2016
On (a,b) Pairs in Random Fibonacci Sequences
Kevin G. Hare, J. C. Saunders
We study the random Fibonacci tree, which is an infinite binary tree with non-negative integers at each node. The root consists of the number 1 with a single child, also the number…
math.NT2016
Generalized Continued Logarithms and Related Continued Fractions
Jonathan M. Borwein, Kevin G. Hare, Jason G. Lynch
We study continued logarithms as introduced by Bill Gosper and studied by J. Borwein et. al.. After providing an overview of the type I and type II generalizations of binary contin…