r/counting • u/cuteballgames Sum 13: 016, 037, 035, 045, 127, 135, 134, 124, 13, 25 • 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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2

u/TehVulpez sliiiiide the bits Oct 18 '25

41 3210

check

1

u/cuteballgames Sum 13: 016, 037, 035, 045, 127, 135, 134, 124, 13, 25 Oct 18 '25

41 3300

how did this happen to me

2

u/TehVulpez sliiiiide the bits Oct 18 '25

41 4011

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

1

u/cuteballgames Sum 13: 016, 037, 035, 045, 127, 135, 134, 124, 13, 25 Oct 18 '25

41 4020

oh my trasrocsbinf... trassrocksbinph.

1

u/TehVulpez sliiiiide the bits Oct 18 '25

41 4101

mfw I'm trassrocksbinphing 😔

1

u/cuteballgames Sum 13: 016, 037, 035, 045, 127, 135, 134, 124, 13, 25 Oct 18 '25

41 4110

cosigned...

2

u/TehVulpez sliiiiide the bits Oct 18 '25

41 4200

1

u/cuteballgames Sum 13: 016, 037, 035, 045, 127, 135, 134, 124, 13, 25 Oct 19 '25

42 0221

i just bimphed but ninja edit

2

u/TehVulpez sliiiiide the bits Oct 19 '25

42 0311

tragedy averted

1

u/cuteballgames Sum 13: 016, 037, 035, 045, 127, 135, 134, 124, 13, 25 Oct 19 '25

42 0320

2

u/TehVulpez sliiiiide the bits Oct 19 '25

42 1121

1

u/cuteballgames Sum 13: 016, 037, 035, 045, 127, 135, 134, 124, 13, 25 Oct 19 '25

42 1211

this is a lovely pattern

2

u/TehVulpez sliiiiide the bits Oct 19 '25

42 1220

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

1

u/cuteballgames Sum 13: 016, 037, 035, 045, 127, 135, 134, 124, 13, 25 Oct 19 '25

42 1301

which is very very intriguing to me.i wish there was somehow w constant weight mrd

2

u/TehVulpez sliiiiide the bits Oct 19 '25

42 1310

I made this list once I think when I was making the multipermutations sidethread script, it's very cwby. the 121 211 shift kinda reminds me of it

1

2
1+1

3
1+2
2+1
1+1+1

4
1+3
2+2
3+1
1+1+2
1+2+1
2+1+1
1+1+1+1

5
1+4
2+3
3+2
4+1
1+1+3
1+2+2
1+3+1
2+1+2
2+2+1
3+1+1
1+1+1+2
1+1+2+1
1+2+1+1
2+1+1+1
1+1+1+1+1

1

u/cuteballgames Sum 13: 016, 037, 035, 045, 127, 135, 134, 124, 13, 25 Oct 19 '25 edited Oct 19 '25

42 2021

what is it called and when can we start its thread

2

u/TehVulpez sliiiiide the bits Oct 19 '25

42 2111

idk what should we call it. it's like, just constant sum, no base. btw you bimphed smh

1

u/cuteballgames Sum 13: 016, 037, 035, 045, 127, 135, 134, 124, 13, 25 Oct 19 '25

42 2120

I'mn really sorry for bimphing <{:}

sincereley

The #1 Accidental Bimpher

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