EvenOddCrank on IntegerPartition
The largest even part minus the number of odd parts.
Not the Andrews-Garvan Crank: this is the largest even part minus the number of odd parts.
Called as CombinatorialStat(x, "EvenOddCrank"). The head's page has its examples.
Live
Distribution
Over IntegerPartitions at each size, tallied here in your browser; sizes past 30 are not offered.
FindStat St000997
The even-odd crank of an integer partition.
| Object | Value |
|---|---|
[2] | 2 |
[3] | -1 |
[4] | 4 |
[5] | -1 |
[6] | 6 |
[7] | -1 |
[8] | 8 |
[9] | -1 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000997 has the rest.