StrictlyIncreasingRuns on BinaryWord
The maximal runs of strictly increasing letters.
FindStat's St000393: one more than the weak descents.
Called as CombinatorialStat(x, "StrictlyIncreasingRuns"). The head's page has its examples.
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Distribution
Over BinaryWords at each size, tallied here in your browser; sizes past 6 are not offered.
FindStat St000393
The number of strictly increasing runs in a binary word.
| Object | Value |
|---|---|
0 | 1 |
1 | 1 |
00 | 2 |
01 | 1 |
10 | 2 |
11 | 2 |
000 | 3 |
001 | 2 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000393 has the rest.