Newsgroups: sci.math
From: hoey@AIC.NRL.Navy.Mil (Dan Hoey)
Date: 11 Jun 92 16:05:22 GMT
Subject: Re: Square Fibonacci numbers (Summary)

membrillo@vax.oxford.ac.uk writes:

> Question: What are all the square Fibonacci numbers?
> Answer: The square Fibonacci numbers are {0,1,144}....
> Moreover Ray Steiner proved in 1967 that the cube Fibonacci numbers
> are {0,1,8}

You might want to consider F[-2]=-1 and F[-6]=-8 as well.  Of course,
F[-12]=-144 doesn't count because it isn't a square, though we may
wish to count F[-1]=F[1]=F[2]=1 three times.  Or not.

So are any other Fibonacci numbers the Nth power of an integer, N>1?

Dan Hoey
Hoey@AIC.NRL.Navy.Mil