The sequence ($\displaystyle {w}_{{n}}$) is generated using a recursion rule similar to the Fibonacci $\displaystyle {w}_{{{n}+{1}}}={w}_{{n}}+{a}\cdot{w}_{{{n}-{1}}}$. The first few terms of this sequence are 0, 3, 3, 30, 57, 327, ...

What is the value of the coefficient $\displaystyle {a}$?
$\displaystyle {a}$ =