LongestWeaklyIncreasingSubsequence on IntegerComposition
The length of a longest weakly increasing subsequence of the parts.
The first row of the RSK shape of the composition as a word.
Called as CombinatorialStat(x, "LongestWeaklyIncreasingSubsequence"). The head's page has its examples.
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Distribution
Over IntegerCompositions at each size, tallied here in your browser; sizes past 6 are not offered.
FindStat St000757
The length of the longest weakly inreasing subsequence of parts of an integer composition.
| Object | Value |
|---|---|
[1] | 1 |
[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/St000757 has the rest.