RajchgotIndex on Permutation
The sum over positions i of n - i less the longest increasing subsequence of the larger entries after p(i).
The degree of the Grothendieck polynomial, after Pechenik, Speyer and Weigandt.
Called as CombinatorialStat(x, "RajchgotIndex"). The head's page has its examples.
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FindStat St001759
The Rajchgot index of a permutation.
| Object | Value |
|---|---|
[1] | 0 |
[1,2] | 0 |
[2,1] | 1 |
[1,2,3] | 0 |
[1,3,2] | 2 |
[2,1,3] | 1 |
[2,3,1] | 2 |
[3,1,2] | 2 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001759 has the rest.