Hello to the new group! To start things off, here's a link to a post with the latest Beeping Busy Beaver / Blanking Beaver results through 4-state 2-color and 2-state 4-color (as well as some thoughts about the relations between these functions):
I will attempt to post the table here, but the alignment may get screwy. Here goes:
|--------+--------+------------+-------------------+---------------------------------|
| States | Colors | BB | BLB | BBB |
|--------+--------+------------+-------------------+---------------------------------|
| 2 | 2 | 6 | 6 | 8 |
| 3 | 2 | 21 | 34 | 55 |
| 2 | 3 | 38 | 77 | 59 |
| 4 | 2 | 107 | 32,779,477 | 32,779,478 |
| 2 | 4 | 3,932,964 | 1,367,361,263,049 | 205,770,076,433,044,242,247,859 |
| 5 | 2 | 47,176,870 | | |
|--------+--------+------------+-------------------+---------------------------------|
Actually, better results have also been obtained for 5-state 2-color, but I don't think they're anywhere near the real values, so I haven't included them!