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LongestPalindromicFactorStartingWithOne on BinaryWord ​

The length of the longest palindromic factor that begins with a 1.

On BinaryWord

FindStat's St001419.

Called as CombinatorialStat(x, "LongestPalindromicFactorStartingWithOne"). 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 St001419

The length of the longest palindromic factor beginning with a one of a binary word.

ObjectValue
00
11
000
011
101
112
0000
0011

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001419 has the rest.