\documentclass[10pt,border=1pt,tikz,class=scrartcl]{standalone}
\usepackage[T1]{fontenc}
\usepackage[latin1]{inputenc}
\usepackage{lmodern}
\usepackage{mathtools}
\usepackage{bytefield}
\usetikzlibrary{calc}
\pagestyle{empty}
\begin{document}
	\scriptsize
\begin{tikzpicture}
	\xdef\r{1.2}
	\xdef\p {}
	\foreach \a in {0,120,240}
		\xdef\p {\p ({\r * sin(\a)}, {\r * cos(\a)}) -- };
	\foreach \a in {0,60,...,300}
		\coordinate (p\a) at ({\r * sin(\a)}, {\r * cos(\a)});
	\draw [thick] \p cycle;
	\draw[rotate=60,thick] \p cycle;
	\node {$n\choose k$};
	\node [anchor=south] at (p0) {$n\choose k+1$};
	\node [anchor=west] at (p60) {$n+1\choose k+1$};
	\node [anchor=west] at (p120) {$n+1\choose k$};
	\node [anchor=north] at (p180) {$n\choose k-1$};
	\node [anchor=east] at (p240) {$n-1\choose k-1$};
	\node [anchor=east] at (p300) {$n-1\choose k$};
\end{tikzpicture}
\end{document}