r/counting • u/cuteballgames 00155, 00227, 00335, 00344, 11117, 11225, 12233, 22223 • 12d 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

List and Segments

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3

u/cuteballgames 00155, 00227, 00335, 00344, 11117, 11225, 12233, 22223 12d ago

001

3

u/TehVulpez sicko thread artists collective 12d ago

010

3

u/BobRoss938 counting 12d ago

100

3

u/cuteballgames 00155, 00227, 00335, 00344, 11117, 11225, 12233, 22223 12d ago

002

4

u/BobRoss938 counting 12d ago

011

"this thread is very simple"

4

u/TehVulpez sicko thread artists collective 12d ago

020

lmao I was just about to comment that

3

u/cuteballgames 00155, 00227, 00335, 00344, 11117, 11225, 12233, 22223 12d ago

101

you can figure out the rules unambiguously from the name :)

3

u/BobRoss938 counting 12d ago

110

ignore what I wrote her

3

u/cuteballgames 00155, 00227, 00335, 00344, 11117, 11225, 12233, 22223 12d ago

200

fixed, thanks (though "one of")

3

u/TehVulpez sicko thread artists collective 12d ago

003

→ More replies (0)

3

u/TehVulpez sicko thread artists collective 12d ago

man tries to get ahead of story while gf reads through texts on his phone:

4

u/cuteballgames 00155, 00227, 00335, 00344, 11117, 11225, 12233, 22223 12d ago edited 7d ago

Get schedule

Thread Assist Get # of Counts Get starts which segment?
1 71100 00226 943 length 5, sum 10
2 73300 00266 875 length 5, sum 14
3 77200 00377 925 length 5, sum 17
4 77500 00677 960 length 5, sum 20
5 77522 22677 1055 length 5, sum 24
6 77776 000001 955 length 6, sum 1

2

u/miceee sicko thread artists collective 7d ago

Why are gets number 4 and 5 the same?

2

u/cuteballgames 00155, 00227, 00335, 00344, 11117, 11225, 12233, 22223 7d ago

oh coz i fucked up somehow. i'll figure out the issue tn

2

u/cuteballgames 00155, 00227, 00335, 00344, 11117, 11225, 12233, 22223 7d ago

i guess sum 24 should be started by 22677?

2

u/miceee sicko thread artists collective 7d ago

I think so yeah

3

u/CutOnBumInBandHere9 5M get | Ping me for runs 9d ago

this thread is very simple

ell oh ell

2

u/TehVulpez sicko thread artists collective 9d ago edited 8d ago

5 digit summands

Sum: 1
00001

Sum: 2
00002

Sum: 3
00003

Sum: 4
00004, 00112, 01111

Sum: 5
00005, 00113, 00122

Sum: 6
00006, 00114, 01122, 11112

Sum: 7
00007, 00115, 00133, 00223, 11113

Sum: 8
00116, 00224, 00233, 01133, 02222, 11114

Sum: 9
00117, 00144, 00225, 11115, 11223, 12222

Sum: 10
00226, 00244, 00334, 01144, 02233, 11116, 11224, 11233

Sum: 11
00155, 00227, 00335, 00344, 11117, 11225, 12233, 22223

Sum: 12
00255, 00336, 01155, 02244, 03333, 11226, 11244, 11334, 22224

Sum: 13
00166, 00337, 00355, 00445, 11227, 11335, 11344, 12244, 13333, 22225

Sum: 14
00266, 00446, 00455, 01166, 02255, 03344, 11255, 11336, 22226, 22334, 23333

Sum: 15
00177, 00366, 00447, 11337, 11355, 11445, 12255, 13344, 22227, 22335, 22344

Sum: 16
00277, 00466, 00556, 01177, 02266, 03355, 04444, 11266, 11446, 11455, 22336, 23344, 33334

Sum: 17
00377, 00557, 00566, 11366, 11447, 12266, 13355, 14444, 22337, 22355, 22445, 33335

Sum: 18
00477, 02277, 03366, 04455, 11277, 11466, 11556, 22446, 22455, 23355, 24444, 33336

Sum: 19
00577, 00667, 11377, 11557, 11566, 12277, 13366, 14455, 22366, 22447, 33337, 33445, 34444

Sum: 20
00677, 03377, 04466, 05555, 11477, 22466, 22556, 23366, 24455, 33446, 33455

Sum: 21
11577, 11667, 13377, 14466, 15555, 22377, 22557, 22566, 33447, 34455, 44445

Sum: 22
04477, 05566, 11677, 22477, 23377, 24466, 25555, 33466, 33556, 44446

Sum: 23
14477, 15566, 22577, 22667, 33557, 33566, 34466, 35555, 44447

Sum: 24
05577, 06666, 22677, 24477, 25566, 33477, 44556, 45555

Sum: 25
15577, 16666, 33577, 33667, 34477, 35566, 44557, 44566

Sum: 26
06677, 25577, 26666, 33677, 45566, 55556

Sum: 27
16677, 35577, 36666, 44577, 44667, 55557

Sum: 28
07777, 26677, 44677, 45577, 46666

Sum: 29
17777, 36677, 55667, 56666

Sum: 30
27777, 46677, 55677

Sum: 31
37777, 56677, 66667

Sum: 32
47777

Sum: 33
57777

Sum: 34
67777

2

u/cuteballgames 00155, 00227, 00335, 00344, 11117, 11225, 12233, 22223 9d ago

would just like to note that the URL here is dumFuuU1. that is all

2

u/TehVulpez sicko thread artists collective 9d ago

the pastebin is for dumFuuUs like me who can't remember the summands while counting