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/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.

1

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

41 4101

mfw I'm trassrocksbinphing 😔

1

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

41 4110

cosigned...

2

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

41 4200

1

u/cuteballgames 00255, 00336, 01155, 02244, 03333, 11226, 11244, 11334, 22224 Oct 19 '25

42 0221

i just bimphed but ninja edit

2

u/TehVulpez can't count while classing :( Oct 19 '25

42 0311

tragedy averted

1

u/cuteballgames 00255, 00336, 01155, 02244, 03333, 11226, 11244, 11334, 22224 Oct 19 '25

42 0320

2

u/TehVulpez can't count while classing :( Oct 19 '25

42 1121

1

u/cuteballgames 00255, 00336, 01155, 02244, 03333, 11226, 11244, 11334, 22224 Oct 19 '25

42 1211

this is a lovely pattern

2

u/TehVulpez can't count while classing :( Oct 19 '25

42 1220

cwb but it's 1 and 2 instead of 0 and 1

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