\documentclass[9pt]{beamer}
\usepackage{fixltx2e}%for sub and superscript in text
\usepackage{amsmath}
\usepackage{graphicx}
\usepackage{multirow}
\usepackage{xcolor}
\usepackage{tikz}
\usepackage{verbatim}
\usepackage{caption}
\usefonttheme[onlymath]{serif}
\usepackage{pgfplots}
\usepackage{ragged2e}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{document}
\centering
\begin{table}[H]
  \caption{Lorentz table}
  \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|}
    \hline
    $s$&$x$&\multicolumn{2}{c|}{$f$} &\multicolumn{2}{c|}{$\bigtriangleup
      f$}&\multicolumn{2}{c|}{$\bigtriangleup^2 f$} &\multicolumn{2}{c|}{$\bigtriangleup^3
      f$}&\multicolumn{2}{c|}{$\bigtriangleup^4 f$}&\multicolumn{2}{c|}{$\bigtriangleup^5
      f$}&\multicolumn{2}{c|}{$\bigtriangleup^6 f$}\\\hline
    &&&1&&&&&&&&&&&&\\
    -3&$x_{-3}$&$f_{-3}$&\multirow{2}{*}{$\bigtriangleup f_{-3}$}&&$\big(^{s+3}_1\big)$&&&&&&&&&&\\
    &&&1&&&&$\big(^{s+3}_2\big)$&&&&&&&&\\
    &&&&&&&&&&&&&&&\\
    &&&&&&&&&&&&&&&\\
    &&&&&&&&&&&&&&&\\
    &&&&&&&&&&&&&&&\\
    &&&&&&&&&&&&&&&\\
    &&&&&&&&&&&&&&&\\
    \hline
  \end{tabular}
\end{table}
\end{document}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%