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EXAMPLE
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a(k) = 0 for k<6, since no shorter string can be obtained by duplication
a(6) = 1 = # { abcdef },
a(7) = 6 = # { aabcdef, abbcdef, abccdef, abcddef, abcdeef, abcdeff },
a(8) = 26 = # { aaabcdef, aabbcdef, aabccdef, aabcddef, aabcdeef, aabcdeff, ababcde,
abbbcdef, abbccdef, abbcddef, abbcdeef, abbcdeff, abcbcdef,
abcccdef, abccddef, abccdeef, abccdeff, abcdcdef,
abcdddef, abcddeef, abcddeff, abcdedef,
abcdeeef, abcdeeff, abcdefef, abcdefff }
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