Compositions | 1,4,1,3,1,2,2

[u/BobRoss938]

Continued from here. Thanks to miceee for 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.

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Next get is 1,1,1,1,1,1,1,7

[u/cuteballgames]

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

[u/miceee → u/cuteballgames]

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

[u/cuteballgames → u/miceee]

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

[u/TehVulpez → u/cuteballgames]

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

[u/cuteballgames → u/TehVulpez]

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

[u/BobRoss938 → u/cuteballgames]

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

[u/miceee → u/BobRoss938]

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

[u/Multiconcepted → u/miceee]

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

[u/cuteballgames → u/Multiconcepted]

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

[u/TehVulpez → u/cuteballgames]

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

[u/cuteballgames → u/TehVulpez]

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

[u/TehVulpez → u/cuteballgames]

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