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open problems survey
#10
Let the sequence be defined recursively in the following way for :
and for

Is ?

The conjecture is proven to be true.
See
http://arxiv.org/abs/1008.1409
and also the discussions:
Logarithm reciprocal
True or false logarithm
There is also a result-less (as of this writing) thread in sci.math.research and sci.math called "Logarithm reciprocal".
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Messages In This Thread
open problems survey - by bo198214 - 05/17/2008, 10:03 AM
Exponential Factorial, TPID 2 - by andydude - 05/26/2008, 03:24 PM
Existence of bounded b^z TPID 4 - by bo198214 - 10/08/2008, 04:22 PM
A conjecture on bounds. TPID 7 - by andydude - 10/23/2009, 05:27 AM
Logarithm reciprocal TPID 9 - by bo198214 - 07/20/2010, 05:50 AM
RE: open problems survey - by nuninho1980 - 10/31/2010, 09:50 PM
Tommy's conjecture TPID 16 - by tommy1729 - 06/07/2014, 10:44 PM
The third super-root TPID 18 - by andydude - 12/25/2015, 06:16 AM

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