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CharacterPolynomialConstantTerm on IntegerPartition ​

The constant term of the character polynomial: 1 for the partition of all ones (the empty one included), 0 otherwise.

On IntegerPartition

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

Live

Distribution

Over IntegerPartitions at each size, tallied here in your browser; sizes past 30 are not offered.

FindStat St000929

The constant term of the character polynomial of an integer partition.

ObjectValue
[2]0
[3]0
[4]0
[5]0
[6]0
[7]0
[8]0
[9]0

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000929 has the rest.