15 citations · 29 across the 2 of their papers we have counts for
3 papers
math.CO2018
Bin Decompositions
Daniel Gotshall, Pamela E. Harris, Dawn Nelson +2
It is well known that every positive integer can be expressed as a sum of nonconsecutive Fibonacci numbers provided the Fibonacci numbers satisfy for $n\geq…
math.CO2016★ 14 cited
Legal Decompositions Arising from Non-positive Linear Recurrences
Minerva Catral, Pari L. Ford, Pamela E. Harris +2
Zeckendorf's theorem states that any positive integer can be written uniquely as a sum of non-adjacent Fibonacci numbers; this result has been generalized to many recurrence relati…
math.CO2016★ 15 cited
New Behavior in Legal Decompositions Arising from Non-positive Linear Recurrences
Minerva Catral, Pari L. Ford, Pamela E. Harris +4
Zeckendorf's theorem states every positive integer has a unique decomposition as a sum of non-adjacent Fibonacci numbers. This result has been generalized to many sequences $\{a_n\…