HalfPermanentOfIdentityPlusPermutation on Permutation
Half the permanent of the identity matrix plus the permutation matrix, which is 2 to the power of the cycles less one.
Called as CombinatorialStat(x, "HalfPermanentOfIdentityPlusPermutation"). The head's page has its examples.
Live
Distribution
Over SymmetricGroup at each size, tallied here in your browser; sizes past 8 are not offered.
FindStat St001661
Half the permanent of the Identity matrix plus the permutation matrix associated to the permutation.
| Object | Value |
|---|---|
[1] | 1 |
[1,2] | 2 |
[2,1] | 1 |
[1,2,3] | 4 |
[1,3,2] | 2 |
[2,1,3] | 2 |
[2,3,1] | 1 |
[3,1,2] | 1 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001661 has the rest.