Patterns /Sequences
Ascending Digit Runs
A partial climb: somewhere in the number sit three or more digits each one higher than the last, as in the 456 inside 74560.
How long might ascending digit runs take?
1 in 34.7 per roll · 35 rolls on average.
At one daily specimen a day, the mean is about 0.1 years. A 50% chance takes 24 rolls; 90% takes 79.
7 daily rolls
18.51%
30 daily rolls
58.42%
365 daily rolls
100.00%
58.42% chance of at least one match in 30 independent rolls.
Waiting times are averages, not deadlines. Previous misses do not increase the next roll’s chance. Only Daily Specimens stamp your Atlas.
This is the relaxed version of a full ascending sequence — the run only has to appear somewhere, and the rest of the number is free. That freedom is why the count above is much larger.
Numbers that are entirely ascending are excluded here and scored under the stronger trait instead, so the two never double count.
Segments are a good example of why the scoring uses information rather than fixed bonuses: the same visual idea at a weaker threshold correctly earns much less.
Highest-scoring examples
The best-scoring numbers of four digits or more that carry this pattern. Shorter numbers are excluded here because their length alone dominates any score ranking.
Smallest examples
The first numbers in the range that match this pattern.
Related sequences patterns
Ascending Sequence Numbers
Every digit is exactly one higher than the one before it: 123, 4567, 456789. There are only a few dozen such numbers in the entire range.
Descending Sequence Numbers
Each digit is exactly one lower than the previous: 321, 6543, 987654. The mirror image of an ascending sequence, and just as scarce.
Descending Digit Runs
Three or more digits each one lower than the last, appearing anywhere in the number — the 543 inside 15432, for instance.
ABAB Pattern Numbers
Two digits taking strict turns: 5252, 8080, 393939. The pattern repeats with period two from the first digit to the last.
ABCABC Pattern Numbers
A three-digit block written twice: 146146, 707707, 989989. Every six-digit number of this form is a three-digit number multiplied by 1001.