Mark Dickinson <dicki...@gmail.com> added the comment:

A nice response to the question of whether to start with 0 or 1 here: 
https://stackoverflow.com/a/5901955

> The definition with Fib(0) = 1 is known as the combinatorial
> definition, and Fib(0) = 0 is the classical definition. Both
> are used in the Fibonacci Quarterly, though authors that use
> the combinatorial definition need to add a sentence of
> explanation.

I confess that I hadn't heard of the Fibonacci Quarterly before.

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