Average number of distinct part sizes in a random Carlitz composition

Mathematics – Combinatorics

Scientific paper

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14 pages

Scientific paper

A composition of an integer is called Carlitz if adjacent parts are
different. Several characteristics of random Carlitz compsitions have been
studied recently by Knopfmacher and Prodinger. We complement their work by
establishing the asymptotics of the average number of distinct part sizes in a
random Carlitz composition.

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