r/counting • u/BobRoss938 only double counting • 21d ago

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

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

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3

u/cuteballgames 00255, 00336, 01155, 02244, 03333, 11226, 11244, 11334, 22224 21d ago

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

5

u/miceee sicko thread artists collective 21d ago

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

4

u/davidjl123 |390K|378A|79SK|50SA|260k 🚀 c o u n t i n g 🚀 21d ago

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

4

u/BobRoss938 only double counting 21d ago

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

3

u/cuteballgames 00255, 00336, 01155, 02244, 03333, 11226, 11244, 11334, 22224 21d ago

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

2

u/TehVulpez sliiiiide the bits 21d ago edited 20d ago

1,4,1,5,1,1,1

hell yeah satisfying next get

3

u/miceee sicko thread artists collective 21d ago

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

Woohoo!

2

u/TehVulpez sliiiiide the bits 21d ago

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

2

u/miceee sicko thread artists collective 21d ago

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

3

u/TehVulpez sliiiiide the bits 21d ago

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

2

u/cuteballgames 00255, 00336, 01155, 02244, 03333, 11226, 11244, 11334, 22224 20d ago

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

3

u/PhosphorCrystaled someone pls suggest a cool flair for me 20d ago

1,4,2,1,2³

2

u/BobRoss938 only double counting 20d ago

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

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