ContainingRectangleShortSide on IntegerPartition
The shorter side of the smallest rectangle that contains the diagram: the smaller of the largest part and the number of parts.
Called as CombinatorialStat(x, "ContainingRectangleShortSide"). The head's page has its examples.
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Distribution
Over IntegerPartitions at each size, tallied here in your browser; sizes past 30 are not offered.
FindStat St000533
The minimum of the number of parts and the size of the first part of an integer partition.
| Object | Value |
|---|---|
[] | 0 |
[1] | 1 |
[2] | 1 |
[3] | 1 |
[4] | 1 |
[5] | 1 |
[6] | 1 |
[7] | 1 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000533 has the rest.