CyclicSievingPolynomialDegree on IntegerPartition
(1 - 1/largest part) times the least common multiple of the parts: the degree of the cyclic sieving polynomial of a permutation with these cycle lengths.
FindStat leaves the empty partition undefined; it is 0 here.
Called as CombinatorialStat(x, "CyclicSievingPolynomialDegree"). The head's page has its examples.
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Over IntegerPartitions at each size, tallied here in your browser; sizes past 30 are not offered.
FindStat St001918
The degree of the cyclic sieving polynomial corresponding to an integer partition.
| Object | Value |
|---|---|
[1] | 0 |
[2] | 1 |
[3] | 2 |
[4] | 3 |
[5] | 4 |
[6] | 5 |
[7] | 6 |
[8] | 7 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001918 has the rest.