Niz brojeva

zadovoljava:
Odredi
The sequence of numbers

satisfies:
Determine
[lang=hr]
Niz brojeva $a_n$ zadovoljava:
\begin{center} $a_0=0, \;\;\; a_1 = 1, \;\;\; a_n = 2a_{n-1} + a_{n-2} $\end{center}
Odredi $v_2(a_{100!})$
[/lang]
[lang=en]
The sequence of numbers $a_n$ satisfies:
\begin{center} $a_0=0, \;\;\; a_1 = 1, \;\;\; a_n = 2a_{n-1} + a_{n-2} $\end{center}
Determine $v_2(a_{100!})$
[/lang]