Timeline for Uniqueness of values in recurrence relations
Current License: CC BY-SA 3.0
6 events
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Jan 11, 2013 at 1:39 | comment | added | Jim White | Aaron, that sounds like fun, is there anything I can do to contribute? | |
Jan 9, 2013 at 13:25 | history | edited | Jim White | CC BY-SA 3.0 |
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Jan 9, 2013 at 12:36 | comment | added | Aaron Meyerowitz | I've wondered about similar things. I'm interested in finding triples of nearly equal integers integers with square product. That would require (or at least benefit from) hits among near optimal rational approximates to square roots. A pretty impressive example is $(10082,10086,10092)=(2a^2,6b^2,3c^2)$ where $a/b=71/41$ and $b/c=41/29$ are convergents to $\sqrt{3}$ and $\sqrt{2}$. That is enough although that drags along $22/9,49/20$ which are convergents to $\sqrt{6}$ with $(22+49)/(9+20)=a/c.$ | |
Jan 9, 2013 at 7:14 | history | edited | Jim White | CC BY-SA 3.0 |
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Jan 9, 2013 at 7:04 | history | edited | Jim White | CC BY-SA 3.0 |
added 149 characters in body
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Jan 9, 2013 at 6:56 | history | answered | Jim White | CC BY-SA 3.0 |