15 citations · 34 across the 6 of their papers we have counts for
Showing 2016Show all
3 papers · 1 filter
math.NT2016★ 1 cited
On the Asymptotic Behavior of Variance of PLRS Decompositions
Steven J. Miller, Dawn Nelson, Zhao Pan +1
A positive linear recurrence sequence is of the form with each and , with appropriately chosen initial conditi…
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\…