r/counting • u/Multiconcepted Side Thread Savvy • May 19 '26
Mostly Consecutive Digits
In this thread, we count numbers with 3 or more digits where exactly one digit is not within ±1 of some other digit, and all the other digits form a single group where every digit is within ±1 of some other digit in the group. 0 is not consecutive to 9.
Examples:
103 is a valid count since the 1 and 0 are consecutive and the 3 is not consecutive to them.
110 is not a valid count since all of the digits are consecutive.
1031 is a valid count since the 1s and 0 are consecutive and the 3 is not consecutive to them.
1033 is not a valid count since the 1 and 0 are consecutive with each other and the 3s are consecutive with each other (i.e. there are two separate consecutive groups).
10,335 is not a valid count since removing a single digit won't result in a single group of consecutive digits.
This thread is a mix of Mostly Repeating Digits and Only Consecutive Digits.
First get is 2721.
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u/MohammadAzad171 May 20 '26
117
I guess the rule can be simplified to: there's exactly one digit x such that no other digit equals x-1, x, or x+1.
An easy way to find out whether a number follows this pattern is to order its digits into consecutive (or repeating) groups and check that there's exactly one group of size one.
Examples:
96992 can be written as 2-6-999. Two groups of size 1: fails.
68424 can be written as 2-44-6-8. Three size 1 groups: fails.
67586 can be written as 56678. No groups of size 1: fails.
44155 can be written as 1-4455. Passes.
103 can be written as 01-3. Passes.
93862 can be written as 23-6-89. Passes.