On May 2, 5:24 pm, Steven D'Aprano <steve
[email protected]> wrote:
> As far as I'm concerned, there are only two definitions of Fibonacci
> numbers that have widespread agreement in the mathematical community:
>
> 0,1,1,2,3 ... (starting from n=0)
> 1,1,2,3,5 ... (starting from n=1)
>
> Any other definition is rather, shall we say, idiosyncratic.
And a concrete reason for preferring the above definition (in either
form) is that divisibility properties of the sequence are much neater
with this choice:
gcd(F_m, F_n) = F_{gcd(m, n)}
--
Mark
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