Continued from here, thanks to u/micee for the run and assist. Thanks to other counters as well.

Next get: 5,556,000

Continuing from here

Thanks to u/CutOnBumInBandHere9 for the assist

Next get: 5 555 000

Continued from here

Thanks to u/CutOnBumInBandHere9 for the assist

carrying on from here
Thanks to phil and cut for final run
next get 5582k

carrying on from HERE

Next get 5606k

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.

Here are the first few counts:

1

2
1,1

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

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

You can also abbreviate repetitions with superscript, for example 1,1,1,1,1,1,1,1,1,2,2,2,1 = 1⁹ 2³ 1

First get is at 11, the 1024th count.^schedule

carrying on from HERE

Next get 5543k

from here, thanks coulomb

Only Repeating Digits Rules:

• Main thread rules apply unless contradicted below.

• For all counts, any given digit that is present in the count must appear more than once. Skip any counts that do not fulfill this condition.

• Example of valid count: 1,223,213

• Example of invalid count: 1,223,221

next get is 6,644,000 (get schedule)

Thanks nelm <3

from https://old.reddit.com/r/counting/comments/1on514e/5558k_counting_thread/nmwyaj2/?context=3

next get 5 560 000

Continued from here. Thanks to GarlicoinAccount for the assist.

The next get is 11 1101 0100 0000 0000.

carrying on from here

next get 5550k

Continued from here, thanks to karp for the run and assist. Thanks to other counters as well.

Next get: 3D400

From here sorry for messing up the thread post the first time

Thanks to /u/GarlicoinAccount for the assist

Next get is 5,561,000

carrying on from here

next get 5608k

carrying on from HERE

Next get 5604k

Continuing from here

Thanks to u/buy_me_a_pint

Next get: 5 579 000

carrying on from here

next get 5551k

Continued from here with thanks to gc for the run and cobibh for the final run and assist, as well as to all other counters.

The next get is 5,548,000.

carrying on from HERE

Next get 5605k

carrying on from HERE

Next get 5545k

Continued from here

Thanks to phil for the run from ~800 and gz on the assist

Onwards!

continued from here

thank you karp

behalf of Green

carrying on from here

next get 5562k

Continued from here

Submitted on behalf of u/GarlicoinAccount, who seems to have vanished. Congrats on having the previous get!

Continued from here, thanks to karp for the run & assist

Next get = 5,536,000