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SmallestMultiplicity on IntegerComposition ​

The smallest number of parts of one size, among the sizes that occur.

On IntegerComposition

Called as CombinatorialStat(x, "SmallestMultiplicity"). The head's page has its examples.

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Distribution

Over IntegerCompositions at each size, tallied here in your browser; sizes past 6 are not offered.

FindStat St000902

The minimal number of repetitions of an integer composition.

The minimal number of repetitions of an integer composition.
ObjectValue
[1]1
[2]1
[3]1
[4]1
[5]1
[6]1
[7]1
[8]1

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000902 has the rest.