Re: [math-fun] that Turing sequence
We can also obtain the sequence from removing the first two terms of the rabbit sequence. 1 10 10|1 10|110 10|110101 10|11010110110 ... (This is equivalent to the first definition, as the string '10' acts as a factory for producing an extra '1' at each stage.) So, we have M = 4(R - 1/2) = 4R - 2, where M is the Munafo constant 0.839213... and R is the Rabbit constant: http://mathworld.wolfram.com/RabbitConstant.html Sincerely, Adam P. Goucher
Yep, I eventually stumbled on that. I've already added the other Rabbit constant to my numbers catalog at mrob.com/pub/math/numbers.html#l0_83921 I wrote about the Rabbit constant in July 2001: http://web.archive.org/web/20010720113825/http://home.earthlink.net/~mrob/pu... and of course I completely forgot about it! (-: On 6/24/12, Adam P. Goucher <apgoucher@gmx.com> wrote:
We can also obtain the sequence from removing the first two terms of the rabbit sequence.
1 10 10|1 10|110 10|110101 10|11010110110 ...
(This is equivalent to the first definition, as the string '10' acts as a factory for producing an extra '1' at each stage.)
So, we have M = 4(R - 1/2) = 4R - 2, where M is the Munafo constant 0.839213... and R is the Rabbit constant:
-- Robert Munafo -- mrob.com Follow me at: gplus.to/mrob - fb.com/mrob27 - twitter.com/mrob_27 - mrob27.wordpress.com - youtube.com/user/mrob143 - rilybot.blogspot.com
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Adam P. Goucher -
Robert Munafo