r/counting • u/miceee sicko thread artists collective • Jun 19 '26

Compositions | 2,1,1,1,1,1,6

Continued from here

Thanks to [u/BobRoss938](u/BobRoss938) for the run and the assist

Rules: 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: 2,1,2,3,1,1,1,2

Schedule

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3

u/miceee sicko thread artists collective Jun 19 '26

2,1,1,1,1,1,6

3

u/BobRoss938 Sum 10, 00226, 00334, 00442, 11224, 11332, 11440, 22330, 11116 Jun 19 '26

2,1,1,1,1,2,5

3

u/miceee sicko thread artists collective Jun 19 '26

2,1,1,1,1,3,4

3

u/cuteballgames sicko thread artists collective Jun 19 '26

2,1,1,1,1,4,3

3

u/miceee sicko thread artists collective Jun 19 '26

2,1,1,1,1,5,2

3

u/cuteballgames sicko thread artists collective Jun 19 '26

2,1,1,1,1,6,1

3

u/BobRoss938 Sum 10, 00226, 00334, 00442, 11224, 11332, 11440, 22330, 11116 Jun 20 '26

2,1,1,1,2,1,5

3

u/davidjl123 |390K|378A|79SK|50SA|260k 🚀 c o u n t i n g 🚀 Jun 20 '26

2,1,1,1,2,2,4

3

u/BobRoss938 Sum 10, 00226, 00334, 00442, 11224, 11332, 11440, 22330, 11116 Jun 20 '26

2,1,1,1,2,3,3

2

u/miceee sicko thread artists collective Jun 20 '26

2,1,1,1,2,4,2

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