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May 28, 2015 at 8:56 answer added kodlu timeline score: 1
May 13, 2011 at 17:56 comment added darij grinberg Could you please explain what "passed along an m-sequence for 2m-1 positions" means? Even if 2m-1 should be $2^m-1$, I am still not totally sure about the meaning. As far as I understand, if this is really just the de Bruijn cycle question up to replacing Euler cycles by Euler walks (because you exclude 0000...0 and do not require the path to be a cycle), I wouldn't be surprised if you get slightly unbalanced strings, but they should not be too far from 50-50 for asymptotical counting reasons.
May 13, 2011 at 17:01 comment added Gerhard Paseman The name De Bruijn comes to mind. Gerhard "Ask Me About System Design" Paseman, 2011.05.13
May 13, 2011 at 16:11 comment added Or Zuk Doesn't the fact that each m-bit number appear exactly once forces the sequence to be balanced? (just take the frequency of ones in all non-zero m-bit numbers)
May 13, 2011 at 15:54 history asked user15086 CC BY-SA 3.0