LargestMissingPart on IntegerPartition
The largest integer below the largest part that is not a part; 0 if every smaller integer is.
0 counts as a candidate, so the value is 0 when every smaller positive integer is a part.
Called as CombinatorialStat(x, "LargestMissingPart"). 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 St001392
The largest nonnegative integer which is not a part and is smaller than the largest part of the partition.
| Object | Value |
|---|---|
[1] | 0 |
[2] | 1 |
[3] | 2 |
[4] | 3 |
[5] | 4 |
[6] | 5 |
[7] | 6 |
[8] | 7 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001392 has the rest.