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Integers with a maximal number of Fibonacci representations
Published online by Cambridge University Press: 15 April 2005
Abstract
We study the properties of the function R(n) which determines the number of representations of an integer n as a sum of distinct Fibonacci numbers Fk. We determine the maximum and mean values of R(n) for Fk ≤ n < Fk+1.
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- © EDP Sciences, 2005