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Average number of distinct part sizes in a random Carlitz composition
Journal article   Open access  Peer reviewed

Average number of distinct part sizes in a random Carlitz composition

WMY Goh and P Hitczenko
European journal of combinatorics, Vol.23(6), pp.647-657
01 Aug 2002
url
https://doi.org/10.1006/eujc.2002.0435View
Published, Version of Record (VoR)Open Access (Publisher-Specific) Open

Abstract

Mathematics Physical Sciences Science & Technology
A composition of an integer n is called Carlitz if adjacent parts are different. Several characteristics of random Carlitz compositions have been studied recently by Knopfmacher and Prodinger. We will complement their work by establishing asymptotics of the average number of distinct part sizes in a random Carlitz composition. (C) 2002 Published by Elsevier Science Ltd.

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