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A334336
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Write under each comma the absolute difference of the two digits framing the said comma; the successive results reproduce, digit by digit, the sequence itself. This is the lexicographically earliest permutation of the positive integers with this property.
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3
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1, 2, 4, 80, 8, 81, 9, 10, 100, 90, 11, 12, 3, 31, 110, 91, 13, 40, 14, 5, 7, 41, 42, 30, 15, 6, 60, 92, 32, 33, 61, 51, 16, 70, 43, 82, 93, 71, 20, 44, 62, 52, 21, 22, 72, 83, 94, 400, 95, 73, 63, 50, 34, 77, 17, 84, 96, 74, 53, 98, 18, 85, 97, 49, 19, 700, 99, 68, 101, 23, 54, 45, 900
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OFFSET
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1,2
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LINKS
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EXAMPLE
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Compare the start of the sequence and the absolute comma-differences:
Seq = 1, 2, 4, 80, 8, 81, 9, 10, 100, 90, 11, 12, 3, 31, 110, 91, ...
Dif = .1..2..4...8..0...8..8...1....9...1...0...1..0...0....9...
We see that the digits of the second line reproduce the digits' succession of the first line.
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CROSSREFS
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KEYWORD
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base,nonn
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AUTHOR
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STATUS
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approved
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