Find a formula for the general term an\displaystyle {a}_{{n}} of the sequence assuming the pattern of the first few terms continues.

{44,416,464,4256,41024,}\displaystyle {\left\lbrace\frac{{4}}{{4}},\frac{{4}}{{16}},\frac{{4}}{{64}},\frac{{4}}{{256}},\frac{{4}}{{1024}},\ldots\right\rbrace}

Assume the first term is a1\displaystyle {a}_{{1}}

an\displaystyle {a}_{{n}} =