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A273376
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Pick any pair of "1" digits in the sequence. Those two "1"s are separated by k digits. This is the lexicographically earliest sequence of distinct terms in which all the resulting values of k are distinct.
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10
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0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 20, 21, 22, 23, 24, 25, 26, 27, 12, 28, 29, 13, 30, 32, 33, 14, 34, 35, 36, 37, 38, 39, 40, 42, 43, 44, 15, 45, 46, 47, 48, 49, 50, 31, 52, 53, 54, 55, 41, 56, 57, 58, 59, 60, 62, 63, 64, 65, 66, 67, 68, 69, 70, 72, 73, 74, 75, 51, 76, 77, 78, 79, 80, 82, 83, 84, 85, 86, 87, 88, 89, 61, 90, 92, 93, 94, 95, 96, 97, 98, 99, 200, 202, 203, 204, 205, 206, 201
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OFFSET
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1,3
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COMMENTS
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The sequence starts with a(1)=0. It is then always extended with the smallest integer not yet present and not leading to a contradiction (which would mean producing a value of k already seen).
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LINKS
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EXAMPLE
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The ten "k"s in the starting segment here are different [0,1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 20, 21,] and respectively equal to 8,10,11,15,1,2,6,0,4,3.
Indeed, there are k=8 digits between [1] and the "1" of [10] which are 2,3,4,5,6,7,8,9; there are k=10 digits between [1] and the first "1" of [11] which are 2,3,4,5,6,7,8,9,1,0; there are k=11 digits between [1] and the second "1" of [11] which are 2,3,4,5,6,7,8,9,1,0,1; there are k=15 digits between [1] and the "1" of [21] which are 2,3,4,5,6,7,8,9,1,0,1,1,2,0,2.
There is k=1 digit between the "1" of [10] and the first "1" of [11] which is 0; there are k=2 digits between the "1" of [10] and the second "1" of [11] which are 0 and 1; there are k=6 digits between the "1" of [10] and the "1" of [21] which are 0,1,1,2,0,2.
There are k=0 digits between the first "1" of [11] and the second "1" of [11]; there are k=4 digits between the first "1" of [11] and the "1" of [21] which are 1,2,0,2.
There are k=3 digits between the second "1" of [11] and the "1" of [21] which are 2,0 and 2.
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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