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Timeline for String of integers puzzle

Current License: CC BY-SA 2.5

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Nov 30, 2014 at 20:30 history edited Wolfgang
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Sep 12, 2010 at 4:52 answer added fedja timeline score: 1
Sep 4, 2010 at 12:25 comment added sleepless in beantown Erik, did you just use a brute force approach to enumerate the 4-letter sequences for the 7-letter alphabet? What exactly are you trying to solve? I can see how a 4-letter alphabet taken three-at-a-time could apply to DNA and RNA sequences. Is there a particular application which you have in mind?
Aug 30, 2010 at 0:38 answer added ABh timeline score: 1
Aug 15, 2010 at 18:08 answer added James Currie timeline score: 2
Jul 27, 2010 at 0:48 comment added Erik By computer. The algorithm will not generalize to 12 letters because of the time it would take (by several orders of magnitude). I was hoping to find some patterns that could help with 12 letters, but I've had no luck yet. In fact that is the only 7 letter string I have so far. But I'm hoping someone smarter than me might be able to find some clues in it.
Jul 27, 2010 at 0:12 comment added Yuval Filmus Did you generate the sequence for A-G by hand or using a computer?
Jul 26, 2010 at 21:23 comment added Erik Great. I should clarify the "begin and end with four of the same letter" bit. The first and last letters don't need to be the same. i.e. AAAA...LLLL
Jul 26, 2010 at 20:47 comment added Kevin O'Bryant The buzzword you'd want to search for is `universal sequence'. That is, your looking for a universal sequence that generates A, ..., IJKL. I don't know that this particular sort has been investigated, although it seems natural enough. I know that Knuth's newest volume of ACP (fascicle available online) has a chapter on universal sequences.
Jul 26, 2010 at 19:16 comment added BlueRaja SO page: stackoverflow.com/questions/3337620/string-of-integers-puzzle
Jul 26, 2010 at 17:59 history asked Erik CC BY-SA 2.5