The sequence ($\displaystyle {w}_{{n}}$) is generated using a recursion rule similar to the Fibonacci $\displaystyle {w}_{{{n}+{1}}}={5}\cdot{w}_{{n}}-{w}_{{{n}-{1}}}$. Notice that the coefficients in the recursion rule are not all equal to 1. The initial conditions for this sequence are $\displaystyle {w}_{{0}}={0}$ and $\displaystyle {w}_{{1}}={8}$.

What is the value of the following term in this sequence?
$\displaystyle {w}_{{10}}$ =