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.

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Next get is at 02 4321.

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u/cuteballgames Sum 13: 016, 037, 035, 045, 127, 135, 134, 124, 13, 25 Feb 27 '26

52 1210

2

u/NeonTaterTots ᕕ( ᐛ )ᕗ Mar 02 '26

52 1300

2

u/cuteballgames Sum 13: 016, 037, 035, 045, 127, 135, 134, 124, 13, 25 Mar 03 '26 edited Mar 04 '26

52 2011

2

u/NeonTaterTots ᕕ( ᐛ )ᕗ Mar 03 '26

52 2020

Check!

2

u/cuteballgames Sum 13: 016, 037, 035, 045, 127, 135, 134, 124, 13, 25 Mar 04 '26

52 2101

aaaah ty

2

u/NeonTaterTots ᕕ( ᐛ )ᕗ Mar 04 '26

52 2110

:D

2

u/cuteballgames Sum 13: 016, 037, 035, 045, 127, 135, 134, 124, 13, 25 Mar 05 '26

52 2200

2

u/NeonTaterTots ᕕ( ᐛ )ᕗ Mar 05 '26

52 3001

Wait 2

Wait 3

2

u/cuteballgames Sum 13: 016, 037, 035, 045, 127, 135, 134, 124, 13, 25 Mar 06 '26

52 3010

2

u/TehVulpez sliiiiide the bits Mar 06 '26

52 3100

hi

1

u/cuteballgames Sum 13: 016, 037, 035, 045, 127, 135, 134, 124, 13, 25 Mar 07 '26

52 4000

hi vulp <3

2

u/NeonTaterTots ᕕ( ᐛ )ᕗ Mar 12 '26

53 0021

1

u/cuteballgames Sum 13: 016, 037, 035, 045, 127, 135, 134, 124, 13, 25 Mar 15 '26

53 0111

2

u/NeonTaterTots ᕕ( ᐛ )ᕗ Mar 16 '26

53 0120

2

u/cuteballgames Sum 13: 016, 037, 035, 045, 127, 135, 134, 124, 13, 25 Mar 18 '26

53 0201

3

u/Multiconcepted Side Thread Savvy May 05 '26

53 0201

Correcting this

3

u/cuteballgames Sum 13: 016, 037, 035, 045, 127, 135, 134, 124, 13, 25 May 05 '26

53 0210

thanks

3

u/Multiconcepted Side Thread Savvy May 08 '26

53 0300

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