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Topic: on real part of [(1+isqrt(7))/2]^n
Replies: 20   Last Post: Feb 15, 2014 5:52 AM

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quasi

Posts: 10,208
Registered: 7/15/05
Re: on real part of [(1+isqrt(7))/2]^n
Posted: Feb 15, 2014 5:52 AM
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konyberg wrote:
>quasi wrote:
>>konyberg
>>>
>>> ...
>>>
>>>Conclusion: The limit |a_n| goes to infinity as n goes to
>>>infinity.

>>
>> No, it's not even close to a proof.

>
>However: I have done some probing with |a_n| using Excel. The
>point function seems to have a tendence to go up. Not
>monotonally, but still. I think that the probability that the
>limit is infinity is high, but not proven to be infinity.
>
>This problem is actually fun to investigate!
>
>Your post with the conjecture and assumed proof was great.
>Thank You.


If the proof by achille is correct, then the limit being
analyzed in this thread really _is_ infinity.

quasi



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