Re: how to iterate

*To*: mathgroup at smc.vnet.net*Subject*: [mg65971] Re: [mg65948] how to iterate*From*: "Owen, HL \(Hywel\)" <h.l.owen at dl.ac.uk>*Date*: Tue, 25 Apr 2006 05:18:46 -0400 (EDT)*Sender*: owner-wri-mathgroup at wolfram.com

You're almost there. You just need to be aware that Mathematica makes the important distinction between (...) which is for grouping terms and expressions, and [...] which is for functional definitions. f[1]=1; f[2]=2; f[3]=3; Then the other numbers are defined using: f[n_] := (f[n - 1] + f[n - 2] + 1)/f[n - 3] e.g. f[22] is 4 Table[f[n], {n, 4, 25}] gives f[4] up to f[25]. This method is not quick but teaches a bit how Mathematica does things. I think that Table[f[n], {n, 4, 2006}] will take some time to calculate. > -----Original Message----- > From: vr [mailto:valentino.rossi.85 at gmail.com] To: mathgroup at smc.vnet.net > Subject: [mg65971] [mg65948] how to iterate > > hi all, > > pls excuse my ignorance. i'm still new to mathematica, and i > forgot much of what i had learned. > > how can i list the output of the function below for n=4..2006? > f(n) = ( f(n-1) + f(n-2) + 1 ) / f(n-3) > given f(1)=1, f(2)=2, f(3)=3. > > thanks for any help in advance. > > >