On Carlitz compositions
type: Item
instance of: scholarly article
title: On Carlitz compositions
zbMATH Open document ID: 0902.05004
author: Arnold Knopfmacher
author: Helmut Prodinger
published in: European Journal of Combinatorics
publication date: 1998-10-27T00:00:00Z
review text: This paper deals with Carlitz compositions of natural numbers (adjacent parts have to be different). The following parameters are analysed: number of parts, number of equal adjacent parts in ordinary compositions, largest part, Carlitz compositions with zeroes allowed (correcting an erroneous formula from Carlitz). It is also briefly demonstrated that so-called 1-compositions of a natural number can be treated in a similar style.
Mathematics Subject Classification ID: 05A17
Mathematics Subject Classification ID: 05A15
Mathematics Subject Classification ID: 11A99
zbMATH DE Number: 1199940
zbMATH Keywords: Carlitz compositions
zbMATH Keywords: generating functions
zbMATH Keywords: asymptotic behaviour
zbMATH Keywords: Smirnov words
reviewed by: R. Scurr
MaRDI profile type: Publication
OpenAlex ID: W2013604536
DOI: 10.1006/EUJC.1998.0216
description: scientific article; zbMATH DE number 1199940