On Carlitz Compositions
Copyright policy )On Carlitz Compositions
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.
- University of Vienna Austria
- University of the Witwatersrand South Africa
Carlitz compositions, Combinatorial aspects of partitions of integers, Computational Theory and Mathematics, generating functions, asymptotic behaviour, Smirnov words, Exact enumeration problems, generating functions, Geometry and Topology, Elementary number theory, Theoretical Computer Science
Carlitz compositions, Combinatorial aspects of partitions of integers, Computational Theory and Mathematics, generating functions, asymptotic behaviour, Smirnov words, Exact enumeration problems, generating functions, Geometry and Topology, Elementary number theory, Theoretical Computer Science
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