DiagonalInversionDefect on IntegerPartition
Cells whose arm minus leg is neither 0 nor 1.
Called as CombinatorialStat(x, "DiagonalInversionDefect"). The head's page has its examples.
Live
FindStat St000377
The dinv defect of an integer partition.
| Object | Value |
|---|---|
[] | 0 |
[1] | 0 |
[2] | 0 |
[3] | 1 |
[4] | 2 |
[5] | 3 |
[6] | 4 |
[7] | 5 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000377 has the rest.