Answer
0, 0, 0, 4
Work Step by Step
The first four terms of $f_n = \left \lfloor{n/4}\right \rfloor * 4 $ beginning with n = 1 are
$f_n = \left \lfloor{1/4}\right \rfloor * 4 = 0 * 4$
$f_n = \left \lfloor{2/4}\right \rfloor * 4 = 0 * 4$
$f_n = \left \lfloor{3/4}\right \rfloor * 4 = 0 * 4$
$f_n = \left \lfloor{4/4}\right \rfloor * 4 = 1 * 4$