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A273479
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The successive numbers of digits between two "0"s in the sequence are given by the sequence itself.
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1
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1, 0, 100, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 22, 23, 24, 25, 26, 27, 28, 29, 31, 32, 33, 34, 35, 36, 37, 38, 39, 41, 42, 43, 44, 45, 46, 47, 48, 49, 51, 52, 53, 54, 55, 56, 57, 58, 59, 110, 120, 61, 10, 62, 130, 63, 64, 20, 65, 66, 140, 67, 68, 69, 30, 71, 72, 73, 150, 74, 75, 76, 77, 40, 78, 79, 81, 82, 83, 50, 84, 85, 86, 87, 88, 160, 89, 91, 92, 93, 94, 95, 60, 96, 97, 98, 99, 111, 1110, 112, 113, 114, 115, 1120, 116, 117, 118, 119, 121, 70, 122, 123, 124, 125, 126, 170, 127, 128, 129, 131, 132, 1130, 133, 134, 135, 136, 137, 138, 80, 139, 141, 142, 143, 144, 145, 1140, 146, 147, 148, 149, 151, 152, 153, 90, 154, 155, 156, 157
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OFFSET
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1,3
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COMMENTS
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This is the lexicographically first such sequence, starting with a(1)=1; it was always extended with the smallest integer not already present in the sequence and not leading to a contradiction.
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LINKS
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EXAMPLE
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There is 1 digit between the first two "0" of the sequence [1,0,100]; then there are 0 digits between the next pair of "0": [100]; then there are 100 digits between the next pair of "0": [100,2,3,4,5,6,7,8,9,11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,110]; then there are 2 digits between the next pair of "0": [110,120], etc. The quantities 1, 0, 100, 2,... rebuild the starting sequence. The next "gaps" will thus be of 3 digits, then 4, then 5...
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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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