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A131957 Busy Beaver sigma variation: maximum number of 1's on the final tape, for a 2-state, 2-symbol Turing machine running on a tape which is initialized with the number n in binary and 0's everywhere else. The machine is started at the rightmost bit in the number n. 0

%I #13 May 12 2014 13:05:07

%S 4,4,4,5,6,6,5,6,5,6,6,7,6,7,6,7,6,7,6,6,8,8,7,8,6,7,7,8,7,8,7,8,7,8,

%T 6,8,7,7,7,7,6,8,8,9,8,9,8,10,7,8,7,7,7,9,8,9,7,8,8,9,8,9,8,9,8,9,8,8,

%U 8,7,8,10,8,7,7,8,8,8,7,8,8,8,7,10,10,10,9,10,8,10,10,10,10,10,9,12,8,9,7,9

%N Busy Beaver sigma variation: maximum number of 1's on the final tape, for a 2-state, 2-symbol Turing machine running on a tape which is initialized with the number n in binary and 0's everywhere else. The machine is started at the rightmost bit in the number n.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/BusyBeaver.html">Busy Beaver</a>

%e a(5) is the maximum number of 1's on a tape which is initialized as:

%e ..000001010000.... with the machine starting at the rightmost 1.

%e a(5) = 6, with the machine:

%e A0-> 1BL

%e A1-> 1AR

%e B0-> 1*L

%e B1-> 1AL

%Y Cf. A060843, A131956.

%K nonn

%O 0,1

%A Bryan Jacobs (bryanjj(AT)gmail.com), Aug 01 2007

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