A and b are not really constants because of the n * (n - 1) in the denominator. My guess is that this is a Bessel function because I got that for one special case when b is zero. This is from Quantum Mechanics so you are right about the origin of this problem, it is the solution for the time independent Shrodinger's eq. for x^4 potential, which I have posted before to this mailing list in a different issue.
------------Original Message------------
From: Dan Stanger <dan.stanger at ieee.org>
To: "Richard Hennessy" <rvh2007 at comcast.net>
Date: Sun, Apr-13-2008 3:31 PM
Subject: Re: [Maxima] Can Maxima find closed form expression
Have you tried z transforms?
This is like solving a time dependent linear differential equation.
Dan
Richard Hennessy wrote:
> I have a recursive formula for c[n] where
>
> c[n] = (a c[n-2] + b c[n-6])/(n (n - 1)) and a + b are constants
>
> I was doing this for a physics problem and I don't know if it can be
> done at all, but if it can I would like find a closed form expression
> for c[n].
>
> Any ideas?
>
> Rich
>
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