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Topic: Bizarritudes
Replies: 101   Last Post: Jul 31, 2005 9:05 PM

 Messages: [ Previous | Next ]
 Proginoskes Posts: 806 Registered: 12/6/04
Re: Bizarritudes
Posted: Jul 24, 2005 11:14 PM

Jim Burns wrote:
> [...]
> Note that I defined F(1)=F(2)=1 in this
> case, not the usual F(0)=F(1)=1.

Actually, F(1) = F(2) = 1 _is_ the standard defintion. A compelling
reason for this is the following result:

THEOREM. If F(x) is the Fibonacci sequence with F(0) = 0 and F(1) = 1,
then
gcd (F(a),F(b)) = F(gcd(a,b)).

--- Christopher Heckman

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