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Integers with a maximal number of Fibonacci representations

Petra Kocábová, Zuzana Masáková, Edita Pelantová (2005)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

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 $F_{k}$ . We determine the maximum and mean values of $R (n)$ for $F_{k} \leq n < F_{k + 1}$ .

Integers with a maximal number of Fibonacci representations

Petra Kocábová, Zuzana Masáková, Edita Pelantová (2010)

RAIRO - Theoretical Informatics and Applications

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.

Currently displaying 1 – 2 of 2

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