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BaselineCrossings on BinaryWord ​

The times the path, a 1 a step up and a 0 a step down, crosses the baseline.

On BinaryWord

FindStat's St001730.

Called as CombinatorialStat(x, "BaselineCrossings"). 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 St001730

The number of times the path corresponding to a binary word crosses the base line.

ObjectValue
00
10
000
010
100
110
0000
0010

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001730 has the rest.