

A303157


Lexicographically earliest sequence of distinct terms such that the successive quantities of digits between two successive 2s are given by the succession of the sequence's digits itself.


9



0, 1, 2, 20, 21, 3, 23, 4, 22, 5, 6, 24, 25, 7, 8, 26, 9, 27, 10, 28, 11, 12, 13, 29, 32, 14, 15, 42, 16, 17, 18, 200, 201, 19, 203, 204, 30, 52, 31, 33, 34, 62, 35, 36, 37, 38, 205, 206, 39, 40, 207, 41, 43, 44, 72, 45, 208, 46, 47, 82, 92, 209, 210, 48, 49, 50, 202, 120, 211, 212, 51, 121
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OFFSET

1,3


COMMENTS

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.


LINKS



EXAMPLE

There are:
0 digit between the 2 of "2" and the 2 of "20";
1 digit between the 2 of "20" and the 2 of "21";
2 digits between the 2 of "21" and the 2 of "23";
2 digits between the 2 of "23" and the first 2 of "22";
0 digit between the 2s of "22";
2 digits between the last 2 of "22" and the 2 of "24";
1 digit between the 2 of "24" and the 2 of "25";
3 digits between the 2 of "25" and the 2 of "26";
2 digits between the 2 of "26" and the 2 of "27";
3 digits between the 2 of "27" and the 2 of "28";
4 digits between the 2 of "28" and the 2 of "12";
2 digits between the 2 of "12" and the 2 of "29";
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 2s.


CROSSREFS



KEYWORD

nonn,base


AUTHOR



STATUS

approved



