[HTML][HTML] The distribution of gaps between summands in generalized Zeckendorf decompositions
Zeckendorf proved any integer can be decomposed uniquely as a sum of non-adjacent
Fibonacci numbers, F n. Using continued fractions, Lekkerkerker proved the average …
Fibonacci numbers, F n. Using continued fractions, Lekkerkerker proved the average …
Gaussian behavior of the number of summands in Zeckendorf decompositions in small intervals
A Best, P Dynes, X Edelsbrunner… - The Fibonacci …, 2014 - Taylor & Francis
Zeckendorf's theorem states that every positive integer can be written uniquely as a sum of
non-consecutive Fibonacci numbers F n, with initial terms F 1= 1, F 2= 2. We consider the …
non-consecutive Fibonacci numbers F n, with initial terms F 1= 1, F 2= 2. We consider the …
A generalization of Zeckendorf's theorem via circumscribed m-gons
Zeckendorf's theorem states that every positive integer can be uniquely decomposed as a
sum of nonconsecutive Fibonacci numbers, where the Fibonacci numbers satisfy F 1= 1, F …
sum of nonconsecutive Fibonacci numbers, where the Fibonacci numbers satisfy F 1= 1, F …