You may want to use \bigboxvoid from the mathabx package, with the usual caution about the package changing many symbols. If you want only that symbol, then the procedure outlined in this answer can be employed; the symbol will change sizes just like \sum or \bigwedge and accept limits in displaystyle as shown in the example.
\documentclass{article}
\usepackage{ amsmath, amssymb }
\DeclareFontFamily{U}{mathx}{\hyphenchar\font45}
\DeclareFontShape{U}{mathx}{m}{n}{
<5> <6> <7> <8> <9> <10>
<10.95> <12> <14.4> <17.28> <20.74> <24.88>
mathx10
}{}
\DeclareSymbolFont{mathx}{U}{mathx}{m}{n}
\DeclareFontSubstitution{U}{mathx}{m}{n}
\DeclareMathSymbol{\bigboxvoid}{1}{mathx}{"DC}
\begin{document}
$\displaystyle\bigboxvoid_{i=1}^n$
\end{document}
