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PartsEqualToReversedPart on IntegerComposition ​

Positions i where the part equals the part at the mirror position.

On IntegerComposition

Andrews, Just and Simay, Anti-palindromic compositions.

Called as CombinatorialStat(x, "PartsEqualToReversedPart"). 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 St001675

The number of parts equal to the part in the reversed 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/St001675 has the rest.