Re: Lori's continued fractions

[Peter Farrell]

Don, 

This is really mindblowing, especially the pattern in the (1+sqrt(5)) column. I had to check a bunch of values before I believed it!

def phi_power(n):

    return 1/(2**n)*(1 + sqrt(5))**n

How was this pattern ever discovered? Personally I suspect witchcraft.

On Tue, Mar 10, 2015 at 8:30 AM, Donald Cohen <doncohe...@gmail.com> wrote:

Lori "Mathhead" Johnson Morse <lorima...@gmail.com>	4/28/14
to me, Joseph

Hi Don,

It took a while to really understand the Grid[] command but I desperately needed it to make the output clear.  I wanted it to be clear that the Lucas and Fibonacci numbers are in the powers of phi, the way I wrote it in my notebook.  There are also distinct patterns in the continued fractionwhen n = even and n = odd.  This is what I have so far:

Don

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