On Feb 10, 9:55 am, Harald Schilly <harald.schi...@gmail.com> wrote:
> > For example, how could I have Sage give me the general formula of
> > fibonacci's sequence ? :-)
>
> I wasn't able to do that one

Perhaps like that:

sage: from sympy import *
sage: y = Function('y')
sage: n = Symbol('n',integer=True)
sage: f = y(n+2) - y(n+1) - y(n)
sage: rsolve(f,y(n))
C0*(1/2 + 5**(1/2)/2)**n + C1*(1/2 - 5**(1/2)/2)**n

Isn't that the general Fibonacci formula?

If I understand the documentation ("rsolve?") correctly, f must be a
relation that is linear in finitely many terms of y with
hypergeometric coefficients. In other words, if you insert y(n) into f
then the result is zero for all n.

Cheers,
Simon

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