Re: Defining the Fibonacci numbers with only one starting value
- From: "Proginoskes" <CCHeckman@xxxxxxxxx>
- Date: 19 Nov 2005 21:29:21 -0800
MuTsun Tsai wrote:
> [...]
> Actually few people define F_n to be started from 0. Most of the definition
> starts from 1.
Most PROFESSIONALS define F_0 to be 0. This leads to the formula
F_n = (1/ sqrt(5))[((1 + sqrt(5))/2)^n - ((1 - sqrt(5))/2)^n],
as well as the result
GCD (F_m, F_n) = F_GCD (m,n).
--- Christopher Heckman
.
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