Countinued from here.

Thanks to h0rseycat for the run and assist!

In this thread, we count binary strings in segments of length (how many bits they have) and weight (how many ones they have). All the counts in a segment have the same number of bits and number of ones. This only changes when we reach the highest number of that length and weight, when we increase the weight and start over from the lowest possible number. Or, if the previous count was all ones, we add a new bit and start over with all zeroes.

To find the next binary number with m ones out of n bits:

1. Find the rightmost 1 which has a 0 to its left and slide it one bit to the left.

2. If that bit had one or more 1s immediately to its right, then arrange those remaining 1s all the way on the right side.

List

Schedule

Next get is at 0 1011 0111 0000

From here with thanks to /u/h0rseycat for the run and assist

Next get is 67 000

From here thanks /u/h0rseycat for the run and assist and gg Vulpez on the battle

Next get 4600 or 5000

Continued from here

Thanks buy_me_a_pint for the assist

Continued from here

Thanks to u/h0rseycat for 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: 3,2,1,4,5

Get schedule

Continuing on from here.

Thanks to u/h0rseycat for the run and assist.

The next get is 30,000.

Continued from here

thanks to /u/h0rseycat

next get is 0001 0011 0000 0000 0000

Carrying on from here.

Thanks to u/h0rseycat for the run and assist.

The next get is 33,000.

Continued from here

Thanks cuteballgames for the run and assist

Next get is 4800 or 5200

Continued from here

Thanks cuteballgames for the run and assist

Counting numbers with multiple distinct digits, one of which occurs exactly once and all others which occur at least twice

Next get is 215,112. Schedule

Continuing on from here.

Thanks to u/h0rseycat for the assist.

The next get is WFQQ.

Continued from here

Thanks buy_me_a_pint for the assist

Continued from here

Thanks h0rseyca for the run and assist, and cuteballgames for best supporting counter.

Next get is 5000 or 5400, but probably 5000

Continued from here

Thanks miceee for 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 is 15. Schedule

Continued from here

Thanks cuteballgames for the run and assist

Next get is 5200 or 5600

Continued from here

Thank you goes to /u/h0rseycat for the previous run and assist.

The first 5 numbers are distinct numbers taken from the range [1, 69], sorted in increasing order. The last number is taken from the range [1, 26]. The sequences are ordered lexicographically.

Next get is at 1 2 4 9 40 + 1.

Continued from here

thanks to wet h0rsey

next get is 15000

Continuing on from here.

Thanks to u/h0rseycat for the assist.

The next get is 217,000.

Continued from here

Thanks cuteballgames for the run and assist

Next get is 110 2200 0000

Continued here

Thanks anti for the run and assist

From here ty h0rseycat and sorrrrrrry vulpez my dear friend

Next get 5400 or 5800

From here and thank you vulp for the run and assist!

List thanks vulp

Guide

schedule

Next get is 000 1321

Countinued from here.

Thanks to treje for the run and assist!

Next get is at 11 1110 1100 0000 0000.