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DistinctCubeCount on BinaryWord ​

The distinct nonempty words u with uuu a factor.

On BinaryWord

FindStat's St001423.

Called as CombinatorialStat(x, "DistinctCubeCount"). 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 St001423

The number of distinct cubes in a binary word.

ObjectValue
00
10
000
010
100
110
0001
0010

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001423 has the rest.