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A303163
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Lexicographically earliest sequence of distinct terms such that the successive quantities of digits between two successive 5s 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, 50, 51, 6, 52, 7, 8, 53, 9, 10, 54, 11, 12, 56, 13, 14, 55, 16, 17, 15, 25, 18, 19, 20, 57, 21, 22, 58, 35, 23, 24, 26, 45, 27, 28, 29, 30, 59, 31, 32, 500, 65, 33, 34, 36, 37, 75, 85, 501, 38, 95, 39, 40, 505, 150, 502, 503, 41, 151, 42, 43, 152, 504, 153, 506, 44, 507, 46, 154, 47, 48, 515, 49, 60
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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 5 of "5" and the 5 of "50";
1 digit between the 5 of "50" and the 5 of "51";
2 digits between the 5 of "51" and the 5 of "52";
3 digits between the 5 of "52" and the 5 of "53";
4 digits between the 5 of "53" and the 5 of "54";
5 digits between the 5 of "54" and the 5 of "56";
5 digits between the 5 of "56" and the first 5 of "55";
0 digit between the 5s of "5";
5 digits between the last 5 of "55" and the 5 of "15";
1 digit between the 5 of "15" and the 5 of "25";
6 digits between the 5 of "25" and the 5 of "57";
5 digits between the 5 of "57" and the 5 of "58";
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 5s.
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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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