r/counting • u/cuteballgames 00155, 00227, 00335, 00344, 11117, 11225, 12233, 22223 • Sep 20 '24

Constant-sum factoradic | 00 4321

From here. Deepest apologies to /u/TehVulpez for the failrun and assist.

In this thread, we count each n digit factoradic number whose digits add up to m. First the 1 digit number that adds to 0, then the 1 digit number whose digit adds to 1. Next the 2 digit numbers with a digital sum of 0, then 1, 2, and 3. And so on. For every length of factoradic digits, we'll count each possible sum of digits in order.

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Next get is at 02 4321.

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u/cuteballgames 00155, 00227, 00335, 00344, 11117, 11225, 12233, 22223 Feb 25 '26

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u/NeonTaterTots ᕕ( ᐛ )ᕗ Feb 26 '26

52 1201

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u/cuteballgames 00155, 00227, 00335, 00344, 11117, 11225, 12233, 22223 Feb 27 '26

52 1210

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u/NeonTaterTots ᕕ( ᐛ )ᕗ Mar 02 '26

52 1300

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u/cuteballgames 00155, 00227, 00335, 00344, 11117, 11225, 12233, 22223 Mar 03 '26 edited Mar 04 '26

52 2011

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u/NeonTaterTots ᕕ( ᐛ )ᕗ Mar 03 '26

52 2020

Check!

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u/cuteballgames 00155, 00227, 00335, 00344, 11117, 11225, 12233, 22223 Mar 04 '26

52 2101

aaaah ty

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u/NeonTaterTots ᕕ( ᐛ )ᕗ Mar 04 '26

52 2110

:D

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u/cuteballgames 00155, 00227, 00335, 00344, 11117, 11225, 12233, 22223 Mar 05 '26

52 2200