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.
@article{ITA_2001__35_6_491_0, 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://www.numdam.org/item/ITA_2001__35_6_491_0/} }
TY - JOUR AU - Berstel, Jean TI - An exercise on Fibonacci representations JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications PY - 2001 SP - 491 EP - 498 VL - 35 IS - 6 PB - EDP-Sciences UR - http://www.numdam.org/item/ITA_2001__35_6_491_0/ LA - en ID - ITA_2001__35_6_491_0 ER -
%0 Journal Article %A Berstel, Jean %T An exercise on Fibonacci representations %J RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications %D 2001 %P 491-498 %V 35 %N 6 %I EDP-Sciences %U http://www.numdam.org/item/ITA_2001__35_6_491_0/ %G en %F ITA_2001__35_6_491_0
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://www.numdam.org/item/ITA_2001__35_6_491_0/
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