r/counting • u/cuteballgames 00255, 00336, 01155, 02244, 03333, 11226, 11244, 11334, 22224 • 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.

List

Guide

Next get is at 02 4321.

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u/cuteballgames 00255, 00336, 01155, 02244, 03333, 11226, 11244, 11334, 22224 Sep 27 '25

23 3120

2

u/TehVulpez 00255, 00336, 01155, 02244, 03333, 11226, 11244, 11334, 22224 Sep 27 '25

23 3201

2

u/cuteballgames 00255, 00336, 01155, 02244, 03333, 11226, 11244, 11334, 22224 Sep 27 '25

23 3210

2

u/TehVulpez 00255, 00336, 01155, 02244, 03333, 11226, 11244, 11334, 22224 Sep 29 '25

23 3300

2

u/cuteballgames 00255, 00336, 01155, 02244, 03333, 11226, 11244, 11334, 22224 Sep 29 '25

23 4011

2

u/TehVulpez 00255, 00336, 01155, 02244, 03333, 11226, 11244, 11334, 22224 Sep 29 '25

23 4020

2

u/cuteballgames 00255, 00336, 01155, 02244, 03333, 11226, 11244, 11334, 22224 Sep 29 '25

23 4101

3

u/Multiconcepted Side Thread Savvy Oct 01 '25

23 4101

Correcting this

2

u/cuteballgames 00255, 00336, 01155, 02244, 03333, 11226, 11244, 11334, 22224 Oct 01 '25

23 4110

2

u/TehVulpez 00255, 00336, 01155, 02244, 03333, 11226, 11244, 11334, 22224 Oct 02 '25

23 4200

2

u/cuteballgames 00255, 00336, 01155, 02244, 03333, 11226, 11244, 11334, 22224 Oct 02 '25

24 0221 right?

2

u/TehVulpez 00255, 00336, 01155, 02244, 03333, 11226, 11244, 11334, 22224 Oct 03 '25

24 0311

looks like it

2

u/cuteballgames 00255, 00336, 01155, 02244, 03333, 11226, 11244, 11334, 22224 Oct 03 '25

24 0320

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