|
|
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
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
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
|
|
|
|