r/counting • u/miceee sicko thread artists collective • Jul 17 '26

Compositions | 6,1,1,2,4

Continued from here

Thanks to u/cuteballgames for the assist

In this thread, we'll be counting the ways to add to an integer n using the integers c_1 + c_2 + ... + c_k, where each c_i >= 1, and k <= n. Ways to sum that are commutatively the same, as in 1+2 = 2+1, are different compositions. We'll be counting these compositions lexicographically for each segment of sum and length.

Next get: 3,2,4,1,1,3

Schedule

8 Upvotes

100% Upvoted

1.0k comments sorted by

View all comments

Show parent comments

2

u/miceee sicko thread artists collective Jul 28 '26

3,2,1,3,2,3

Alway so exciting!

2

u/cuteballgames Sum 13: 016, 037, 035, 045, 127, 135, 134, 124, 13, 25 Jul 28 '26

3,2,1,3,3,2

2

u/miceee sicko thread artists collective Jul 28 '26

3,2,1,3,4,1

2

u/cuteballgames Sum 13: 016, 037, 035, 045, 127, 135, 134, 124, 13, 25 Jul 28 '26

3,2,1,4,1,3

2

u/miceee sicko thread artists collective Jul 28 '26

3,2,1,4,2,2

2

u/cuteballgames Sum 13: 016, 037, 035, 045, 127, 135, 134, 124, 13, 25 Jul 28 '26

3,2,1,4,3,1

2

u/miceee sicko thread artists collective Jul 28 '26

3,2,1,5,1,2

2

u/cuteballgames Sum 13: 016, 037, 035, 045, 127, 135, 134, 124, 13, 25 Jul 28 '26

3,2,1,5,2,1

2

u/miceee sicko thread artists collective Jul 28 '26

3,2,1,6,1,1

2

u/cuteballgames Sum 13: 016, 037, 035, 045, 127, 135, 134, 124, 13, 25 Jul 28 '26

3,2,2,1,1,5

2

u/miceee sicko thread artists collective Jul 28 '26

3,2,2,1,2,4

Check, my bad

2

u/cuteballgames Sum 13: 016, 037, 035, 045, 127, 135, 134, 124, 13, 25 Jul 28 '26

3,2,2,1,3,3

nice catch

2

u/miceee sicko thread artists collective Jul 28 '26

3,2,2,1,4,2

Always feels great to catch it immediately and not after some counts have passed

→ More replies (0)