How to add two natural numbers in base phi

Published 5 Feb 2020 in math.NT | (2002.01665v1)

Abstract: In the base phi representation any natural number is written uniquely as a sum of powers of the golden mean with coefficients 0 and 1, where it is required that the product of two consecutive digits is always 0. In this self-contained paper we give a new, and short proof of the recursive structure of the base phi representations of the natural numbers.

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Authors (1)

F. Michel Dekking

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