SmallestMissingPart on PlanePartition
The smallest positive integer that is not an entry.
FindStat's St001449; the same head as on partitions. With n entries, one of 1 .. n + 1 is missing.
Called as CombinatorialStat(x, "SmallestMissingPart"). The head's page has its examples.
Live
Distribution
Over PlanePartitions at each size, tallied here in your browser; sizes past 6 are not offered.
Also on
The same name on other carriers, each its own implementation: IntegerPartition.
FindStat St001449
The smallest missing nonzero part in the plane partition.
| Object | Value |
|---|---|
[[1]] | 2 |
[[2]] | 1 |
[[3]] | 1 |
[[4]] | 1 |
[[5]] | 1 |
[[6]] | 1 |
[[7]] | 1 |
[[8]] | 1 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001449 has the rest.