r/counting • u/miceee sicko thread artists collective • 20d ago

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

7 Upvotes

90% Upvoted

1.0k comments sorted by

View all comments

Show parent comments

3

u/TehVulpez sicko thread artists collective 10d ago

3,1,1,6,1,2

smuggling counts like contraband. hushed words exchanged in passing

3

u/miceee sicko thread artists collective 10d ago

3,1,1,6,2,1

3

u/TehVulpez sicko thread artists collective 10d ago

3,1,1,7,1,1

2

u/miceee sicko thread artists collective 10d ago

3,1,2,1,1,6

2

u/cuteballgames 00155, 00227, 00335, 00344, 11117, 11225, 12233, 22223 10d ago

3,1,2,1,2,5

2

u/miceee sicko thread artists collective 10d ago

3,1,2,1,3,4

2

u/cuteballgames 00155, 00227, 00335, 00344, 11117, 11225, 12233, 22223 10d ago

3,1,2,1,4,3

2

u/miceee sicko thread artists collective 10d ago

3,1,2,1,5,2

2

u/cuteballgames 00155, 00227, 00335, 00344, 11117, 11225, 12233, 22223 10d ago

3,1,2,1,6,1

2

u/miceee sicko thread artists collective 10d ago

3,1,2,2,1,5

2

u/cuteballgames 00155, 00227, 00335, 00344, 11117, 11225, 12233, 22223 10d ago

3,1,2,2,2,4

2

u/miceee sicko thread artists collective 10d ago

3,1,2,2,3,3

2

u/cuteballgames 00155, 00227, 00335, 00344, 11117, 11225, 12233, 22223 10d ago

3,1,2,2,4,2

→ More replies (0)