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MathGroup Archive 2006

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Re: how to iterate

  • To: mathgroup at smc.vnet.net
  • Subject: [mg65966] Re: [mg65948] how to iterate
  • From: Bob Hanlon <hanlonr at cox.net>
  • Date: Tue, 25 Apr 2006 05:18:34 -0400 (EDT)
  • Reply-to: hanlonr at cox.net
  • Sender: owner-wri-mathgroup at wolfram.com

Clear[f];
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[{n,f[n]},{n,12}]

{{1, 1}, {2, 2}, {3, 3}, {4, 6}, {5, 5}, {6, 4}, {7, 5/3}, {8, 4/3}, {9, 1}, {10, 2}, {11, 
3}, 
  {12, 6}}


Bob Hanlon

> 
> From: "vr" <valentino.rossi.85 at gmail.com>
To: mathgroup at smc.vnet.net
> Subject: [mg65966] [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.
> 
> 


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