Computed with engine art-1.0.0. Data updated: 2026-09-26 (UTC). Rules independently implemented by RNGDLE.ART.
Sequences
Rule, exact count and rarity
Digit parity alternation means each adjacent pair contains one odd digit and one even digit, across at least four positions. The actual symbols can change freely: the rule follows odd versus even status rather than a fixed pair of digits. Zero is even and participates normally. The sequence may start with either parity, and adjacent numerical differences need not be one. As a result, an odd-even pattern is broader than strict consecutive ascending or descending order. A fixed ABAB arrangement only matches this parity category when its two symbols have opposite parity. This category concerns the parities of written decimal digits; it is distinct from whether the entire integer is odd or even, which depends solely on the last digit.
The exact count, 34,875, comes from evaluating all 1,000,001 integers from 0 through 1,000,000, including both endpoints. It is not a sample or an estimate. Each matching integer is counted once for this category, even if it contains multiple qualifying segments. Its frequency of 3.487497% describes the chance that a uniformly chosen integer passes this one test. It is not the global score percentile of every member, and overlapping pattern counts must not be added as if they represented disjoint sets.
The pattern supplies −log₂(34,875 / 1,000,001) bits before its within-family weight is applied. Other matched patterns, digit sum, distinct-digit count and short-length signals can change the complete score. Consequently, members of this category need not share a ranking. The highest-scoring representative is 5,050, with a rarity score of 1,017 and Top 0.0034%. This uses its complete score across all features, not just this pattern. Equal scores are displayed in ascending numerical order.
Example numbers
ExploreThe highest-scoring match
The highest-scoring representative is 5,050, with a rarity score of 1,017 and Top 0.0034%. This uses its complete score across all features, not just this pattern. Equal scores are displayed in ascending numerical order.
Frequently asked questions
How many alternating odd and even digits are there between 0 and 1,000,000?
There are exactly 34,875 matches for alternating odd and even digits among the 1,000,001 integers from 0 to 1,000,000, inclusive: 3.487497% of the range. At least four digits alternate between odd and even.
Is zero treated as even in a parity pattern?
Yes. Zero is even. For example, 1010 alternates odd and even digits and meets the four-place minimum.
What is the highest-scoring alternating odd and even digits representative?
The highest-scoring representative is 5,050, with a rarity score of 1,017 and Top 0.0034%. This uses its complete score across all features, not just this pattern. Equal scores are displayed in ascending numerical order.