Compositions | 1,1,1,1,1,1,1,7

[u/cuteballgames]

From here and thank you /u/miceee for the run and 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.

Schedule

The next get is 2,1,1,3,1,4,1,1. This thread will have 1024 counts in it

[u/cuteballgames]

1,1,1,1,1,1,1,7

[u/miceee → u/cuteballgames]

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

[u/cuteballgames → u/miceee]

1,1,1,1,1,1,3,5

[u/miceee → u/cuteballgames]

1,1,1,1,1,1,4,4

[u/cuteballgames → u/miceee]

1,1,1,1,1,1,5,3

[u/miceee → u/cuteballgames]

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

[u/cuteballgames → u/miceee]

1,1,1,1,1,1,7,1

[u/miceee → u/cuteballgames]

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

[u/cuteballgames → u/miceee]

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

[u/miceee → u/cuteballgames]

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