WTF is Fibonnacci

[Peter Hansen]

Christopher Koppler wrote:
> 
> I know I passed that when I was in the first grade of elementary school
> (an uncle of mine showed it to me). That, of course, proves nothing.

Well, it proves you are bright, but nothing whatsoever about the 
claim in question.

> BTW, that series seems to *always* quite quickly converge on a stable
> number or pair of numbers, whatever the starting value... anyone have a
> proof? Or a name for the series, for that matter?

http://rec-puzzles.org/sol.pl/series/07 and other pages found via Google,
with a cursory skim, seem to indicate that, though I didn't look for a
formal proof.

-Peter