Continued fraction : How to find the first 3 terms

Question

I can't calculate the exact first tree terms $F_0$, $F_1$ and $F_2$ of this continued fraction :

$$F_n=\cfrac{1}{-\text{i$\omega $}\,+A\,\cfrac{(n+1)^2}{{4 (n+1)^2-1}}F_{n+1}}$$ $A$ and $\omega$ are reals.

Please, how to obtain these terms ?

Answer 1

hint: calculate$F_{-1}$ first,then rest should be easy.