How to calculate $n$th term in terms of constants?

Question

The expression is $$\large t_n=\frac{(x\times t_{n-1})^2}{((x-t_{n-1}\times y)^2+4\times x\times t_{n-1})\times t_{n-2}}$$ where $x$ and $y$ are constants.

$t_0$ , $t_1$ , $t_2$ , $t_3$ and $t_4$ are known.

How to calculate $t_n$?

Answer 1

There doesn't seem to be any discernable pattern. $t_n$ is a complicated rational function of $x$, $y$, $t_3$ and $t_4$.