quasi
Posts:
10,970
Registered:
7/15/05


Re: on real part of [(1+isqrt(7))/2]^n
Posted:
Feb 15, 2014 5:52 AM


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

