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math.NT2020
Curious Squares
Neelima Borade, Jacob Mayle
A curious number is a palindromic number whose base ten representation has the form . In this paper, we determine all curious numbers that are per…
math.NT2019
Gaps of Summands of the Zeckendorf Lattice
Neelima Borade, Dexter Cai, David Z. Chang +4
A beautiful theorem of Zeckendorf states that every positive integer has a unique decomposition as a sum of non-adjacent Fibonacci numbers. Such decompositions exist more generally…