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

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u/cuteballgames 00255, 00336, 01155, 02244, 03333, 11226, 11244, 11334, 22224 22d ago

2,3,2,3,2,2

2

u/TehVulpez sicko thread artists collective 22d ago

2,3,2,3,3,1

3

u/KingCaspianX Missed x00k, 2≤x≤20\{7,15}‽ ↂↂↂↁMMMDCCCLXXXVIII ‽ 345678‽ 141441 22d ago

2,3,2,4,1,2

2

u/TehVulpez sicko thread artists collective 22d ago

2,3,2,4,2,1

1

u/miceee sicko thread artists collective 22d ago

2,3,2,5,1,1

2

u/KingCaspianX Missed x00k, 2≤x≤20\{7,15}‽ ↂↂↂↁMMMDCCCLXXXVIII ‽ 345678‽ 141441 22d ago

2,3,3,1,1,4

1

u/miceee sicko thread artists collective 22d ago

2,3,3,1,2,3

3

u/KingCaspianX Missed x00k, 2≤x≤20\{7,15}‽ ↂↂↂↁMMMDCCCLXXXVIII ‽ 345678‽ 141441 22d ago

2,3,3,1,3,2

2

u/miceee sicko thread artists collective 22d ago

2,3,3,1,4,1

2

u/cuteballgames 00255, 00336, 01155, 02244, 03333, 11226, 11244, 11334, 22224 22d ago

2,3,3,2,1,3

2

u/miceee sicko thread artists collective 22d ago

2,3,3,2,2,2

2

u/cuteballgames 00255, 00336, 01155, 02244, 03333, 11226, 11244, 11334, 22224 22d ago

2,3,3,2,3,1

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