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LongestPalindromicFactor on BinaryWord ​

The length of the longest factor that reads the same backwards.

On BinaryWord

FindStat's St001416.

Called as CombinatorialStat(x, "LongestPalindromicFactor"). 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 St001416

The length of a longest palindromic factor of a binary word.

ObjectValue
01
11
002
011
101
112
0003
0012

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001416 has the rest.