Given the difference equation

$x(k+3)-2\mathrm{.}2x(k+2)+1\mathrm{.}57x(k+1)-0\mathrm{.}36x(k)=e(k),x(0)=x(1)=x(2)=0,e(k)=1_k$

write a matlab program that calculates $x(k)$ for $3k25.$ Show your code and results.