Numerical Algorithm for P\'olya Enumeration Theorem
  Although the P\'olya enumeration theorem has been used extensively for decades, an optimized, purely numerical algorithm for calculating its coefficients is not readily available. We present such an algorithm for finding the number of unique colorings of a finite set under the action of a finite group. 
Conrad W. Rosenbrock, Wiley S. Morgan, Gus L. W. Hart, Stefano   Curtarolo, Rodney W. Forcade
math.CO math.GR