15 citations · 42 across the 5 of their papers we have counts for
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Individual Gap Measures from Generalized Zeckendorf Decompositions
Robert Dorward, Pari L. Ford, Eva Fourakis +3
Zeckendorf's theorem states that every positive integer can be uniquely decomposed as a sum of nonconsecutive Fibonacci numbers. The distribution of the number of summands converge…
A Generalization of Zeckendorf's Theorem via Circumscribed -gons
Robert Dorward, Pari L. Ford, Eva Fourakis +4
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_n=F_{n-1}+F_…
Generalizing Zeckendorf's Theorem: The Kentucky Sequence
Minerva Catral, Pari Ford, Pamela Harris +2
By Zeckendorf's theorem, an equivalent definition of the Fibonacci sequence (appropriately normalized) is that it is the unique sequence of increasing integers such that every posi…