Geodesic
Generalizations of Carlitz compositions
Journal of integer sequences, Tome 10 (2007) no. 8
We consider a class of generating functions that appear in the context of Carlitz compositions. In order to combinatorially interpret them, we introduce a combinatorial structures that we name generalized compositions and $p$-Carlitz compositions of integers. We explain their connection to Carlitz compositions, the relation to other combinatorial structures, and we describe their basic properties.
Classification : 05A15, 05A16
Keywords: integer composition, carlitz composition, generalized composition 
@article{JIS_2007__10_8_a3,
     author = {Corteel,  Sylvie and Hitczenko,  Pawe{\l}},
     title = {Generalizations of {Carlitz} compositions},
     journal = {Journal of integer sequences},
     year = {2007},
     volume = {10},
     number = {8},
     zbl = {1141.05306},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2007__10_8_a3/}
}
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Corteel,  Sylvie; Hitczenko,  Paweł. Generalizations of Carlitz compositions. Journal of integer sequences, Tome 10 (2007) no. 8. http://geodesic.mathdoc.fr/item/JIS_2007__10_8_a3/