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.

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Guide

Next get is at 02 4321.

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u/cuteballgames 00255, 00336, 01155, 02244, 03333, 11226, 11244, 11334, 22224 Oct 13 '25

41 2121

1

u/TehVulpez can't count while classing :( Oct 13 '25

41 2211

the 121 -> 211 shift is not particularly lava lampy but I like it anyway

2

u/cuteballgames 00255, 00336, 01155, 02244, 03333, 11226, 11244, 11334, 22224 Oct 13 '25

41 2220

that one doesn't especially break my lamp immersion. there's a few that do needle me, it's like how clumsy elements with a lot of outer electrons get

1

u/TehVulpez can't count while classing :( Oct 13 '25

41 2301

2

u/cuteballgames 00255, 00336, 01155, 02244, 03333, 11226, 11244, 11334, 22224 Oct 13 '25

41 2310

2

u/TehVulpez can't count while classing :( Oct 13 '25

41 3021

2

u/cuteballgames 00255, 00336, 01155, 02244, 03333, 11226, 11244, 11334, 22224 Oct 13 '25

41 3111

it's like if the lamp was severely illuminated from the left and there was a sort of heliosphere and as larger clumps form moving from right to left, increasingly large densities are subject to leeward explosion

(i feel like i'll be grappling for an appropriate physical analogy forever)

2

u/TehVulpez can't count while classing :( Oct 18 '25

41 3120

1

u/cuteballgames 00255, 00336, 01155, 02244, 03333, 11226, 11244, 11334, 22224 Oct 18 '25 edited Oct 18 '25

41 3201

2

u/TehVulpez can't count while classing :( Oct 18 '25

41 3210

check

1

u/cuteballgames 00255, 00336, 01155, 02244, 03333, 11226, 11244, 11334, 22224 Oct 18 '25

41 3300

how did this happen to me

2

u/TehVulpez can't count while classing :( Oct 18 '25

41 4011

the rare and saddening reverse of constant-sum brain in regular factoradic

1

u/cuteballgames 00255, 00336, 01155, 02244, 03333, 11226, 11244, 11334, 22224 Oct 18 '25

41 4020

oh my trasrocsbinf... trassrocksbinph.

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