r/counting only double counting 27d 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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u/miceee sicko thread artists collective 5d ago

7,1,2,1,1,1,1

u/cuteballgames Sum 13: 016, 037, 035, 045, 127, 135, 134, 124, 13, 25 5d ago

7,2,1,1,1,1,1

u/miceee sicko thread artists collective 5d ago

8,1,1,1,1,1,1

u/cuteballgames Sum 13: 016, 037, 035, 045, 127, 135, 134, 124, 13, 25 5d ago

u/miceee sicko thread artists collective 5d ago

Congrats!

u/cuteballgames Sum 13: 016, 037, 035, 045, 127, 135, 134, 124, 13, 25 5d ago

Thank you!

u/davidjl123 |390K|378A|79SK|50SA|260k 🚀 c o u n t i n g 🚀 5d ago

gz

u/cuteballgames Sum 13: 016, 037, 035, 045, 127, 135, 134, 124, 13, 25 5d ago

thank you david

u/TehVulpez sliiiiide the bits 5d ago

grats! nice satisfying get

u/cuteballgames Sum 13: 016, 037, 035, 045, 127, 135, 134, 124, 13, 25 5d ago

thanks!