\documentclass[11pt,fleqn]{article}
\usepackage{amsmath, amsthm, amssymb}
\usepackage{bm}% comes after amsmath package
%\usepackage{theorem}
\usepackage{float,afterpage}
%\usepackage{palatino}
%\usepackage{leftidx}
%\usepackage{srcltx}

%\usepackage{wrapfig}
%\usepackage{caption}
%\usepackage{subfig}

\usepackage{graphicx}
\usepackage{multirow}

\begin{document}

\begin{table}[htpb]
\centering
\caption{Values of $c_{n,i}$ \label{table1}}
\begin{tabular}{|c|c|c|c|c|c|}
\cline{3-6}
\multicolumn{2}{c|}{ }&\multicolumn{4}{c|}{n}\\
\cline{3-6}
\multicolumn{2}{c|}{ }&1&2&3&4\\
\hline
\multirow{4}{*}{i}&0&1&1&1&1\\ \cline{2-6}
&2&0&1&3&6\\ \cline{2-6}
&4&0&0&0&3\\ \cline{2-6}
&6&0&0&0&0& \hline
\end{tabular}
\end{table}

\begin{table}[htpb]
\centering
\caption{Values of $d_{n,i}$ \label{table2}}
\begin{tabular}{|c|c|c|c|c|c|}
\cline{3-6}
\multicolumn{2}{c|}{ }&\multicolumn{4}{c|}{n}\\
\cline{3-6}
\multicolumn{2}{c|}{ }&1&2&3&4\\
\hline
\multirow{4}{*}{i}&0&1&2&3&4\\ \cline{2-6}
&2&0&1&2&3\\ \cline{2-6}
&4&0&0&0&2\\ \cline{2-6}
&6&0&0&0&0& \hline
\end{tabular}
\end{table}

\end{document}