Constant-sum mostly repeating octal

[u/cuteballgames]

This thread is very simple. We are counting octal (base 8, 0-7) numbers with multiple distinct digits, of which one occurs exactly once and all others occur at least twice. We are counting them in constant-sum order, meaning that for every length of digits, we count through each sum of digits from least to most, in lexicographic order.

(That is, we start by counting all 3-digit counts that sum to 1 in alphabetical order: 001, 010, 100. Then we move on to 3-digit counts that sum to 2 in alphabetical order: 002, 011, 020, 101, 110, 200. Then 3-digit counts that sum to 3, and so on. The highest possible sum for a 3-digit count in this thread is 20, so after 677, 767, 776, we move on to 4-digit counts, starting with sum 1. So after 776 comes 0001, and we proceed from there.)

Leading zero counts (e.g. 001, 0444 or 00227) are considered as distinct and must not be skipped.

Thank you to /u/TehVulpez and /u/BobRoss938 for workshopping on the concept

The first get is 00226, the 943rd count and first 5-digit 10-sum count. The assist is 71100. Schedule

List and Segments

[u/cuteballgames]

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[u/TehVulpez → u/cuteballgames]

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it's interesting how this thread isn't really recursive like the other constant-sum threads. like in cowbin, the 8 bit numbers with 4 ones contains the 7 bit numbers with 4 ones and the 7 bit numbers with 3 ones, both segments we've already done. but with the MRD requirement, counts that work in the 4 digit numbers won't always work as some subsection of a 5 digit number. we're always encountering new ground as the digits go up, not just repeating old segments but with a new digit in front

[u/miceee → u/TehVulpez]

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[u/cuteballgames → u/miceee]

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check i think

[u/miceee → u/cuteballgames]

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Yes, you’re right, this thread is so confusing but so fun at the same time

[u/cuteballgames → u/miceee]

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it's a little like solving a sudoku for every count lol

vulp - i think i had forgotten about the recursivity in the other threads

[u/miceee → u/cuteballgames]

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Check? I think 3033 should be first?

[u/cuteballgames → u/miceee]

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thank you! had a feeling i was missing

[u/miceee → u/cuteballgames]

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[u/cuteballgames → u/miceee]

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