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A303167
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Lexicographically earliest sequence of distinct terms such that the successive quantities of digits between two successive 8's are given by the succession of the sequence's digits itself.
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9
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0, 1, 2, 3, 4, 5, 6, 7, 8, 80, 81, 9, 82, 10, 83, 11, 18, 12, 13, 28, 14, 15, 16, 84, 17, 19, 20, 85, 21, 22, 23, 38, 24, 25, 26, 27, 88, 29, 30, 31, 32, 86, 87, 33, 34, 35, 36, 89, 37, 39, 40, 48, 41, 808, 800, 42, 43, 44, 801, 58, 68, 78, 98, 45, 46, 47, 49, 818, 50, 828, 51, 180, 181, 52, 53
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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 and is always extended with the smallest integer not yet present that doesn't lead to a contradiction. This sequence is a permutation of the numbers >= 0.
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LINKS
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EXAMPLE
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There are:
0 digit between the 8 of "8" and the 8 of "80";
1 digit between the 8 of "80" and the 8 of "81";
2 digits between the 8 of "81" and the 8 of "82";
3 digits between the 8 of "82" and the 8 of "83";
4 digits between the 8 of "83" and the 8 of "18";
5 digits between the 8 of "18" and the 8 of "28";
6 digits between the 8 of "28" and the 8 of "84";
7 digits between the 8 of "84" and the 8 of "85";
8 digits between the 8 of "85" and the 8 of "38";
8 digits between the 8 of "38" and the first 8 of "88";
0 digit between the 8's of "88";
8 digits between the last 8 of "88" and the 8 of "86";
1 digit between the 8 of "86" and the 8 of "87";
etc.
We see that the first column here is the succession of the digits of the sequence, as well as the size of each chunk of digits between two successive 8's.
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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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