LargestGreatestCommonDivisorOfPositionAndValue on Permutation
The largest gcd(i, p(i)).
Called as CombinatorialStat(x, "LargestGreatestCommonDivisorOfPositionAndValue"). 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 St001778
The largest greatest common divisor of an element and its image in a permutation.
| Object | Value |
|---|---|
[1] | 1 |
[1,2] | 2 |
[2,1] | 1 |
[1,2,3] | 3 |
[1,3,2] | 1 |
[2,1,3] | 3 |
[2,3,1] | 1 |
[3,1,2] | 1 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001778 has the rest.