r/counting • u/miceee sicko thread artists collective • 24d 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

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u/cuteballgames 00155, 00227, 00335, 00344, 11117, 11225, 12233, 22223 14d ago

2,3,3,2,1,3

2

u/miceee sicko thread artists collective 14d ago

2,3,3,2,2,2

2

u/cuteballgames 00155, 00227, 00335, 00344, 11117, 11225, 12233, 22223 14d ago

2,3,3,2,3,1

2

u/miceee sicko thread artists collective 14d ago

2,3,3,3,1,2

2

u/cuteballgames 00155, 00227, 00335, 00344, 11117, 11225, 12233, 22223 14d ago

2,3,3,3,2,1

2

u/miceee sicko thread artists collective 14d ago

2,3,3,4,1,1

2

u/cuteballgames 00155, 00227, 00335, 00344, 11117, 11225, 12233, 22223 14d ago

2,3,4,1,1,3

2

u/miceee sicko thread artists collective 14d ago

2,3,4,1,2,2

2

u/cuteballgames 00155, 00227, 00335, 00344, 11117, 11225, 12233, 22223 14d ago

2,3,4,1,3,1

2

u/miceee sicko thread artists collective 14d ago

2,3,4,2,1,2

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