|
| |
|
|
A317550
|
|
Lexicographically first sequence of different terms, starting with a(1) = 0 and showing a 3-step roller coaster of digits (see the Comments section).
|
|
2
|
|
|
|
0, 1, 2, 3, 210, 4, 5, 6, 32, 12, 7, 8, 42, 13, 45, 43, 14, 56, 52, 15, 67, 53, 16, 78, 54, 17, 89, 62, 123, 9, 63, 23, 46, 310, 18, 92, 10, 24, 64, 20, 25, 65, 21, 26, 72, 101, 27, 320, 28, 93, 102, 34, 321, 35, 73, 103, 47, 410, 36, 74, 30, 37, 82, 104, 57, 420, 38, 94, 31, 48, 95, 40, 58, 96, 41
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,3
|
|
|
COMMENTS
|
After the digit 0 that starts the sequence, we have the 2nd digit of the sequence that is > 0, then the 3rd digit that is > the 2nd digit, then the 4th digit that is > the 3rd digit, then the 5th digit that is < the 4th digit, then the 6th digit that is < the 5th digit, etc. Considering the sequence from the digit-size point of view, we could see it as a kind of roller coaster going up three steps, than down three steps, than up a again three steps, etc.
|
|
|
LINKS
|
|
|
|
EXAMPLE
|
The sequence starts with 0,1,2,3,210,4,5,6,32,12,7,8,42,13,... and indeed the digits form a kind of 3-step roller-coaster 0 < 1 < 2 < 3 > 2 > 1 > 0 < 4 < 5 < 6 > 3 > 2 > 1 < 2 < 7 < 8 > 4 > 2 > 1...
|
|
|
CROSSREFS
|
Cf. A317548 (1-step roller coaster) and A317549 (2-step roller coaster).
|
|
|
KEYWORD
|
|
|
|
AUTHOR
|
|
|
|
STATUS
|
approved
|
| |
|
|
