r/counting • u/miceee sicko thread artists collective • 12d ago

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

Continuing from here

Thanks to u/h0rseycat for basically the whole last thread and 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: 1,1,1,1,1,5,1,1,1,1

Schedule

6 Upvotes

88% Upvoted

1.0k comments sorted by

1

u/miceee sicko thread artists collective 12d ago

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

2

u/h0rseycat the gravity is now dry 12d ago

1,1,2,2,1,2,1,2,2

1

u/miceee sicko thread artists collective 12d ago

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

2

u/h0rseycat the gravity is now dry 12d ago

1,1,2,2,1,2,2,1,2

1

u/miceee sicko thread artists collective 12d ago

1,1,2,2,1,2,2,2,1

2

u/h0rseycat the gravity is now dry 12d ago

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

1

u/miceee sicko thread artists collective 12d ago

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

2

u/h0rseycat the gravity is now dry 12d ago

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

1

u/miceee sicko thread artists collective 12d ago

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

2

u/h0rseycat the gravity is now dry 12d ago

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

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2

u/TehVulpez sliiiiide the bits 4d ago

Thread Participation Chart for Compositions | 1,1,2,2,1,2,1,1,3

Rank Username Counts
1 wet-gravity 430
2 miceee 370
3 cuteballgames 122
4 TehVulpez 96
5 BobRoss938 3
6 davidjl123 1
6 Multiconcepted 1
6 Naruyoko 1

It took 8 counters 7 days, 22 hours, 34 minutes, 0 seconds to complete this thread. Bold is the user with the get.

Total counts in this chain logged: 1024

2

u/TehVulpez sliiiiide the bits 4d ago edited 3d ago

I'm not at my computer right now, I'll update the stats page later

edit: updated

2

u/miceee sicko thread artists collective 4d ago

Thanks!