Record statistics in integer compositions

A $\textit{composition}$ $\sigma =a_1 a_2 \ldots a_m$ of $n$ is an ordered collection of positive integers whose sum is $n$. An element $a_i$ in $\sigma$ is a strong (weak) $\textit{record}$ if $a_i> a_j (a_i \geq a_j)$ for all $j=1,2,\ldots,i-1$. Furthermore, the position of this record is $i$....

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Podrobná bibliografie
Hlavní autoři: Arnold Knopfmacher, Toufik Mansour
Médium: Článek
Jazyk:English
Vydáno: Discrete Mathematics & Theoretical Computer Science 2009-01-01
Edice:Discrete Mathematics & Theoretical Computer Science
Témata:
On-line přístup:https://dmtcs.episciences.org/2691/pdf