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RotationOrbitSize on IntegerComposition ​

The number of distinct compositions obtained by rotating the parts.

On IntegerComposition

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

Live

Distribution

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

Also on

The same name on other carriers, each its own implementation: SetPartition.

FindStat St000820

The number of compositions obtained by rotating the 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/St000820 has the rest.