Geodesic
An exercise on Fibonacci representations
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 35 (2001) no. 6, pp. 491-498

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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.

Classification : 68R15, 68R05 
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     author = {Berstel, Jean},
     title = {An exercise on {Fibonacci} representations},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     pages = {491--498},
     publisher = {EDP-Sciences},
     volume = {35},
     number = {6},
     year = {2001},
     mrnumber = {1922290},
     zbl = {1005.68119},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ITA_2001__35_6_491_0/}
}
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Berstel, Jean. An exercise on Fibonacci representations. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 35 (2001) no. 6, pp. 491-498. http://geodesic.mathdoc.fr/item/ITA_2001__35_6_491_0/