Gaussian Behavior of the Number of Summands in Zeckendorf Decompositions in Small Intervals

Andrew Best, Patrick Dynes, Xixi Edelsbrunner +5

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 con…