On the number of distinct block sizes in partitions of a set (Q1063598)
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scientific article; zbMATH DE number 3918370
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the number of distinct block sizes in partitions of a set |
scientific article; zbMATH DE number 3918370 |
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On the number of distinct block sizes in partitions of a set (English)
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1985
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It is proved that the average number of distinct block sizes in a partition of a set of n elements is asymptotic to e log n as \(n\to \infty\) and almost all partitions have approximately e log n distinct block sizes. It is well known that the average total number of blocks in a partition is \(\sim\) n/log n as \(n\to \infty\).
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distinct block sizes
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partition
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