Patterns /Sequences

Alternating Odd and Even Digits

Odd, even, odd, even — or the reverse — all the way through, as in 385274 or 1614. The digits themselves are free; only their parity is constrained.

Matches in range
34,875
Share of all numbers
3.49%
Out of
1,000,001

How long might alternating odd and even digits take?

1 in 28.7 per roll · 29 rolls on average.

At one daily specimen a day, the mean is about 0.1 years. A 50% chance takes 20 rolls; 90% takes 65.

7 daily rolls

22.00%

30 daily rolls

65.52%

365 daily rolls

100.00%

65.52% 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.

Find numbers with this pattern →

Each digit after the first has its parity fixed but still has five values to choose from, so this pattern halves the possibilities at every position rather than pinning them outright. That gives it a middling count, visible above.

It is a genuinely different kind of structure from ABAB or repdigits: alternating parity is invisible until you look at the digits' oddness, which makes it one of the patterns players most often miss in the daily Pattern Hunt.

Because parity alternation constrains a property of digits rather than the digits themselves, it coexists happily with almost every other trait on the site.

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.

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