\documentclass{standalone}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}
\coordinate (r) at (5cm,0cm);
\coordinate (h) at (0cm,5cm);
\foreach \x [evaluate=\x as \xeval using 2^\x] in {1,2,...,7}
\pgfmathparse{\xeval-1}\foreach \y in {0,1,...,\pgfmathresult}
\pgfmathparse{\x*10}
     \filldraw[fill=blue!\pgfmathresult!white,draw=black]  ($ {\y/\xeval}*(r)+(h)-{1/\xeval}*(h)-{\y/\xeval}*(h) $) rectangle
            ($ {1/(2*\xeval)}*(r)+{\y/\xeval}*(r)+(h)-{1/(2*\xeval)}*(h)-{\y/\xeval}*(h)$);
\draw (0,0) rectangle (2.5cm,2.5cm);
\end{tikzpicture}
\end{document}