I need to research cube graphs for problems in evolutionary biology. To that end I have generated a few 100,000 graphs on the 4-cube. However, I want to double check that my list is correct. To that end it would be handy to have the chromatic polynomial. By evaluating the polynomial at $x=-1$ one finds the number of Directed Acyclic Graphs on the 4-cube, according to a result by Stanley.
Does anyone know the chromatic polynomial of the hyper cube graph $Q_4$?