Re: Question
- To: mathgroup at smc.vnet.net
- Subject: [mg9432] Re: [mg9390] Question
- From: Robert Pratt <rpratt at math.unc.edu>
- Date: Wed, 5 Nov 1997 01:56:46 -0500
- Sender: owner-wri-mathgroup at wolfram.com
You need more initial conditions. In order to use your recurrence relation, you need to specify a[0], a[1], a[2], and a[3] (not just a[0] and a[1]). To see why you need to do this, first try computing a[2], a[3], a[4] and a[5] by hand. Rob Pratt Department of Mathematics The University of North Carolina at Chapel Hill CB# 3250, 331 Phillips Hall Chapel Hill, NC 27599-3250 rpratt at math.unc.edu http://www.math.unc.edu/Grads/rpratt/ On Sun, 2 Nov 1997, Boguslaw Ptaszynski wrote: > Hello Mathematica (v.3,0 for Windows) Users, > I have a question that I hope someone has an answer for. I have the > following recurrence relation: > > a[n+2]= 1/(b^2) ( b/2 a[n] + n (n-1)/4 a[n-2] ) > > for the indices in the series n>=2. > I want to use the formula to determine the values of a[n] for > n=2,3,4,...12 and give these values in the table > > I have written : > > Clear [a,n,b] > a[n_] := a[n]= 1/(b^2) ( b/2 a[n-2] + (n-2) (n-3)/4 a[n-4] ); a[0]=a0; > a[1]=a1; > TableForm[ Table[{n, a[n]}, {n,0,12}]] > > an I have got the following message: > > $RecursionLimit::"reclim": "Recursion depth of \!\(256\) exceeded." > $RecursionLimit::"reclim": "Recursion depth of \!\(256\) exceeded." > $RecursionLimit::"reclim": "Recursion depth of \!\(256\) exceeded." > General::"stop": > "Further output of \!\($RecursionLimit :: \"reclim\"\) will be > suppressed \ > during this calculation." > > What does the message mean? I will be happy to get any information > abaout this problem. > > Boguslaw Ptaszynski > >