CouplesAreForeverGrundyValue on IntegerPartition
The Grundy value of the game that splits a part above 2 into two parts: the nim-sum of the values of the parts, each the least value missing from the nim-sums over its splits.
Called as CombinatorialStat(x, "CouplesAreForeverGrundyValue"). 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 St000752
The Grundy value for the game 'Couples are forever' on an integer partition.
| Object | Value |
|---|---|
[] | 0 |
[1] | 0 |
[2] | 0 |
[3] | 1 |
[4] | 2 |
[5] | 0 |
[6] | 1 |
[7] | 2 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000752 has the rest.