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EXAMPLE
| a(k) = 0 for k<5, since no shorter string can be obtained by duplicating a substring.
a(5) = # { abcde }, a(6) = # { aabcde, abbcde, abccde, abcdde, abcdee },
a(7) = # { aaabcde, aabbcde, aabccde, aabcdde, aabcdee, ababcde, abbbcde, abbccde, abbcdde, abbcdee, abcbcde, abcccde, abccdde, abccdee, abcdcde, abcddde, abcddee, abcdede, abcdeee }
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