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A366122
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Pick any term t: exactly two of the t terms following t are distinct and larger than t.
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1
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2, 3, 4, 2, 5, 3, 6, 2, 4, 7, 2, 3, 8, 2, 4, 3, 9, 2, 5, 3, 10, 2, 4, 6, 2, 11, 3, 2, 4, 7, 12, 2, 3, 4, 2, 5, 13, 2, 3, 4, 6, 2, 14, 3, 2, 4, 7, 2, 3, 15, 2, 4, 3, 8, 2, 5, 16, 2, 3, 4, 6, 9, 2, 3, 17, 2, 4, 3, 2, 5, 10, 2, 18, 3, 2, 4, 5, 2, 3, 6, 11, 19, 2, 3, 4, 2, 5, 3, 6, 2, 20, 3, 2, 4, 7, 2, 3, 5, 2, 4, 21
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OFFSET
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1,1
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COMMENTS
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Starting with a(1) = 2, this is the lexicographically earliest sequence with this property.
a(n) >= 2 as we need exactly two of the t terms following t to be distinct and larger than t.
If we admit that the two terms are equal, see A366121.
Is this sequence a fractal one?
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LINKS
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EXAMPLE
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Two distinct terms out of 2 following a(1) = 2 are > 2: they are 3 and 4.
Two distinct terms out of 3 following a(2) = 3 are > 3: they are 4 and 5.
Two distinct terms out of 4 following a(3) = 4 are > 4: they are 5 and 6.
Two distinct terms out of 2 following a(4) = 2 are > 2: they are 5 and 3.
Two distinct terms out of 5 following a(5) = 5 are > 5: they are 6 and 7.
Two distinct terms out of 3 following a(6) = 3 are > 3: they are 6 and 4.
Two distinct terms out of 6 following a(7) = 6 are > 6: they are 7 and 8.
Two distinct terms out of 2 following a(8) = 2 are > 2: they are 4 and 7; etc.
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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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