Border strip tableau

You mean like this (this includes @CarLaTeX's suggestion to use arraystretch):

\documentclass[border=3.14mm]{standalone}
\usepackage{array}
\renewcommand{\arraystretch}{1.4}
\begin{document}
    \begin{tabular}{|lllllllll}
        \hline
        \multicolumn{3}{|c|}{1}                                                  & \multicolumn{1}{l|}{}  & 5                     & \multicolumn{1}{l|}{}   & \multicolumn{1}{l|}{}   & 13                    & \multicolumn{1}{l|}{} \\ \cline{1-3} \cline{6-6} \cline{9-9} 
        2                      & \multicolumn{1}{l|}{}  &                        & \multicolumn{1}{l|}{4} & \multicolumn{1}{l|}{} &                         & \multicolumn{1}{l|}{8}  & \multicolumn{1}{l|}{} &                       \\ \cline{2-8}
        \multicolumn{1}{|l|}{} & \multicolumn{1}{l|}{}  & \multicolumn{1}{l|}{}  & 9                      & \multicolumn{1}{l|}{} & \multicolumn{1}{l|}{}   & \multicolumn{1}{l|}{}   &                       &                       \\ \cline{1-1} \cline{5-5}
        & \multicolumn{1}{l|}{3} & \multicolumn{1}{l|}{7} & \multicolumn{1}{l|}{}  &                       & \multicolumn{1}{l|}{10} & \multicolumn{1}{l|}{12} &                       &                       \\ \cline{1-2} \cline{4-6}
        6                      & \multicolumn{1}{l|}{}  & \multicolumn{1}{l|}{}  &                        & 11                    & \multicolumn{1}{l|}{}   & \multicolumn{1}{l|}{}   &                       &                       \\ \cline{2-7}
        \multicolumn{1}{|l|}{} &                        & 14                     & \multicolumn{1}{l|}{}  &                       &                         &                         &                       &                       \\ \cline{1-4}
    \end{tabular}
\end{document}

which will give you:

Since this can be easily achieved by tabular environment, I have directly utilized it.

PS: In case, if you have something else in mind, please consider giving an MWE.

Disclaimer: I specifically chose not to use tikz here. Instead, I used tabular -- though it does not match the tags of the question -- only because it is elegant for this class of typesetting ;).

A variation on the theme of Raaja's answer, who the credit should go. The advantage here is a more readable syntax, where each cell is specified (the optional argument is the contents, if not empty).

\documentclass{article}
\usepackage{array,xparse}

\NewExpandableDocumentCommand{\?}{O{}m}{%
  \multicolumn{1}{#2}{\makebox[0.6em]{#1}}%
}

\begin{document}

\[
\renewcommand{\arraystretch}{1.4}
\begin{tabular}{*{9}{c}}
\hline
\?{|c}    & \?[1]{c}  & \?{c|}    & \?{c|}    & \?[5]{c}  & \?{c|}     & \?{c|}    & \?[13]{c} & \?{c|} \\
\cline{1-3} \cline{6-6} \cline{9-9}
\?[2]{|c} & \?{c|}    & \?{c}     & \?[4]{c|} & \?{c|}    & \?{c}      & \?[8]{c|} & \?{c|} \\
\cline{2-8}
\?{|c|}   & \?{c|}    & \?{c|}    & \?[9]{c}  & \?{c|}    & \?{c|}     & \?{c|} \\
\cline{1-1} \cline{5-5}
\?{|c}    & \?[3]{c|} & \?[7]{c|} & \?{c|}    & \?{c}     & \?[10]{c|} & \?[12]{c|} \\
\cline{1-2} \cline{4-6}
\?[6]{|c} & \?{c|}    & \?{c|}    & \?{c}     & \?[11]{c} & \?{c|}     & \?{c|} \\
\cline{2-7}
\?{|c|}   & \?{c}     & \?[14]{c} & \?{c|} \\
\cline{1-4}
\end{tabular}
\]

\end{document}