Re: how to iterate

*To*: mathgroup at smc.vnet.net*Subject*: [mg65978] Re: how to iterate*From*: Jean-Marc Gulliet <jeanmarc.gulliet at gmail.com>*Date*: Tue, 25 Apr 2006 05:19:12 -0400 (EDT)*Organization*: The Open University, Milton Keynes, UK*References*: <e2i987$9fc$1@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

vr wrote: > 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. > f[1] = 1; f[2] = 2; f[3] = 3; f[(n_Integer)?Positive] := f[n] = (f[n - 1] + f[n - 2] + 1)/f[n - 3]; Table[f[n], {n, 4, 2006}] HTH, Jean-Marc