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A026606
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[1->null]-transform of three-symbol Thue-Morse A026600, with 1 subtracted.
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0
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1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2
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OFFSET
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1,2
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COMMENTS
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Old name was: a(n) = b(n)-1, where b(n) = n-th term of A026600 that is not a 1.
This sequence is a morphic sequence, i.e., a letter-to-letter projection of a fixed point of a morphism. Let the morphism sigma be given by
1->123, 2->456, 3->345,4->612, 5->561, 6->234,
and let the letter-to-letter map delta be given by
1->1, 2->2, 3->1, 4->2, 5->2, 6->1.
Then (a(n)) = delta(x), where x = 1234... is a fixed point of sigma.
This representation can be obtained by noting that this sequence, with 1 added, can also be viewed as the [1->23, 2->23, 3->32]-transform of A026600, and by doubling 1,2 and 3, renaming the resulting six letters as 1,2,3,4,5,6.
(End)
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LINKS
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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