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?

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- April 10th 2012, 01:13 PMqwertyuiolinear 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?