Unbounded discrepancy in Frobenius numbers.
Shallit, Jeffrey, Stankewicz, James (2011)
Integers
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Displaying similar documents to “Lucas partitions.”
Unbounded discrepancy in Frobenius numbers.
An exercise on Fibonacci representations
Jean Berstel (2001)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
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We give a partial answer to a question of Carlitz asking for a closed formula for the number of distinct representations of an integer in the Fibonacci base.
An Exercise on Fibonacci Representations
Jean Berstel (2010)
RAIRO - Theoretical Informatics and Applications
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We give a partial answer to a question of Carlitz asking for a closed formula for the number of distinct representations of an integer in the Fibonacci base.
On the representations of .
Borwein, Jonathan, Choi, Kwok-Kwong Stephen (2000)
Experimental Mathematics
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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
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We study the properties of the function which determines the number of representations of an integer as a sum of distinct Fibonacci numbers . We determine the maximum and mean values of for .