BicoloredMotzkinLevelSteps on DyckPath
The level steps of that bicolored Motzkin path: pairs of steps with one up and one down.
Called as CombinatorialStat(x, "BicoloredMotzkinLevelSteps"). The head's page has its examples.
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FindStat St001032
The number of horizontal steps in the bicoloured Motzkin path associated with the Dyck path.
| Object | Value |
|---|---|
[1,0,1,0] | 2 |
[1,1,0,0] | 0 |
[1,0,1,0,1,0] | 3 |
[1,0,1,1,0,0] | 1 |
[1,1,0,0,1,0] | 1 |
[1,1,0,1,0,0] | 1 |
[1,1,1,0,0,0] | 1 |
[1,0,1,0,1,0,1,0] | 4 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001032 has the rest.