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ChangeCount on BinaryWord ​

The positions i where the letters i and i + 1 differ.

On BinaryWord

Called as CombinatorialStat(x, "ChangeCount"). The head's page has its examples.

Live

Distribution

Over BinaryWords at each size, tallied here in your browser; sizes past 6 are not offered.

FindStat St000691

The number of changes of a binary word.

ObjectValue
00
10
000
011
101
110
0000
0011

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000691 has the rest.