0RB2LA1RA_1LA2RB1RC_---1LB1LC

0RB2LA1RA_1LA2RB1RC_1RZ1LB1LC (bbch) is the current BB(3,3) champion. It was discovered by Terry and Shawn Ligocki in November 2007.

It runs for 119,112,334,170,342,541 steps before halting and leaves 374,676,383 non-zero symbols.

Analysis by Pascal Michel

Let C(n) = . . . 0 (A0) 2^n 0 . . .
Then we have:

. . . 0 (A0) 0 . . . 	--( 3 )--> 	C(1)
C(8k + 1) 	--( 112k^2 + 116k + 13 )--> 	C(14k + 3)
C(8k + 2) 	--( 112k^2 + 144k + 38 )--> 	C(14k + 7)
C(8k + 3) 	--( 112k^2 + 172k + 54 )--> 	C(14k + 8)
C(8k + 4) 	--( 112k^2 + 200k + 74 )--> 	C(14k + 9)
C(8k + 5) 	--( 112k^2 + 228k + 97 )--> 	. . . 0 1 (H1) 2^(14k+9) 0 . . .
C(8k + 6) 	--( 112k^2 + 256k + 139 )--> 	C(14k + 14)
C(8k + 7) 	--( 112k^2 + 284k + 169 )--> 	C(14k + 15)
C(8k + 8) 	--( 112k^2 + 312k + 203 )--> 	C(14k + 16)

So we have (in 34 transitions):

. . . 0 (A0) 0 . . . --( 3 )-->
C( 1 ) --( 13 )-->
C( 3 ) --( 54 )-->
C( 8 ) --( 203 )-->
C( 16 ) --( 627 )-->
C( 30 ) --( 1915 )-->
. . .
 
C( 122,343,306 ) --( 26,193,799,261,043,238 )-->
C( 214,100,789 ) --( 80,218,511,093,348,089 )-->
. . . 0 1 (H1) 2^374676381 0 . . .