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A194942
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List of seven normalized ternary Abelian squarefree words.
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1
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0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2
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OFFSET
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1,9
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COMMENTS
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Lexicographically ordered list of words of increasing length L=1,2,3,... over the alphabet {0,1,2}, without those which contain two adjacent subsequences with the same multiset of symbols, regardless of internal order. Only those words where the symbols appear in order are included; e.g., {0, 1, 0, 2}, but not {0, 2, 0, 1} or {1, 2, 1, 0}.
The row lengths in number of sequences are 1, 1, 2, 3, 5, 5, 3, for total row lengths of 1, 2, 6, 12, 25, 30, 21.
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LINKS
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EXAMPLE
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The rows are:
{{0}},
{{0, 1}},
{{0, 1, 0}, {0, 1, 2}},
{{0, 1, 0, 2}, {0, 1, 2, 0}, {0, 1, 2, 1}},
{{0, 1, 0, 2, 0}, {0, 1, 0, 2, 1}, {0, 1, 2, 0, 1}, {0, 1, 2, 0, 2}, {0, 1, 2, 1, 0}},
{{0, 1, 0, 2, 0, 1}, {0, 1, 0, 2, 1, 0}, {0, 1, 0, 2, 1, 2}, {0, 1, 2, 0, 1, 0}, {0, 1, 2, 1, 0, 1}},
{{0, 1, 0, 2, 0, 1, 0}, {0, 1, 0, 2, 1, 0, 1}, {0, 1, 2, 1, 0, 1, 2}}
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CROSSREFS
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Cf. A194923 (includes non-normalized sequences).
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KEYWORD
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nonn,fini,full,tabf
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AUTHOR
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STATUS
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approved
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