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Generalizations of Carlitz Compositions
Journal article   Peer reviewed

Generalizations of Carlitz Compositions

Sylvie Corteel and Pawel Hitczenko
Journal of integer sequences, Vol.10(8)
01 Jan 2007

Abstract

Mathematics Physical Sciences Science & Technology
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.

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