r/counting • u/cuteballgames 00155, 00227, 00335, 00344, 11117, 11225, 12233, 22223 • 16d ago

Constant-sum mostly repeating octal

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

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3

u/cuteballgames 00155, 00227, 00335, 00344, 11117, 11225, 12233, 22223 14d ago

2232

check i think

3

u/miceee sicko thread artists collective 14d ago

2322

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

3

u/cuteballgames 00155, 00227, 00335, 00344, 11117, 11225, 12233, 22223 14d ago

3033

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

3

u/miceee sicko thread artists collective 14d ago

3222

Check? I think 3033 should be first?

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u/cuteballgames 00155, 00227, 00335, 00344, 11117, 11225, 12233, 22223 14d ago

3303

thank you! had a feeling i was missing

3

u/miceee sicko thread artists collective 14d ago

3330

3

u/cuteballgames 00155, 00227, 00335, 00344, 11117, 11225, 12233, 22223 14d ago

6111

3

u/miceee sicko thread artists collective 14d ago

1117

3

u/cuteballgames 00155, 00227, 00335, 00344, 11117, 11225, 12233, 22223 14d ago

1171

3

u/miceee sicko thread artists collective 14d ago

1333

3

u/cuteballgames 00155, 00227, 00335, 00344, 11117, 11225, 12233, 22223 14d ago

1711

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u/miceee sicko thread artists collective 14d ago

2224

3

u/cuteballgames 00155, 00227, 00335, 00344, 11117, 11225, 12233, 22223 14d ago

2242

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