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Thread: linear recurrence equation with non constant coefficients

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    linear recurrence equation with non constant coefficients

    I would solve the following recurrence equation:

    $ a_{n+1} = a_n + 1/(2(c+n-1))*a_{n-1} $

    where c>0 is a fixed constant.

    It is linear (and that's good), but there's a non constant coefficient.. There's a way to find an explicit solution?
    Last edited by qwertyuio; Apr 10th 2012 at 01:24 PM.
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