Hi, All,

Recently, I got a sequence problem which is:

$\displaystyle a_{n} = a_{n-1} - \frac{a_{n-1}^2}{m-S_{n-2}}$

where $\displaystyle S_n$ is sum of $\displaystyle a_i$, i = 1,2,...,n, m is an integer.

Does anyone have some idea on $\displaystyle a_n$ or $\displaystyle S_n$ about their analytic expressions, not recursive expressions?

Thanks,