15 citations · 16 across the 2 of their papers we have counts for
2 papers
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★ 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\…