Why are the British so interested with history?
Find the number of ways to label 3n points evenly spaced on a circle [math]a_1,a_2[/math]…[math], a_{3n}[/math] such that [math]\angle a_1 a_2 a_3 = \angle a_4 a_5 a_6 = ... = \angle a_{3n-2} a_{3n-1} a_{3n}[/math]?