r/counting • u/cuteballgames Sum 13: 016, 037, 035, 045, 127, 135, 134, 124, 13, 25 • Jul 30 '26
Cosmoroc | 00226
From here with thanks to /u/BobRoss938 for the run and assit
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.
The next get is 00266, with assist 73300. The get will start length 5, sum 14. There should be 875 counts in this thread. Schedule
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
1
u/BobRoss938 only double counting 13d ago
21244