... example of the more general result that maximum entropy occurs atpoints of maximum symmetry, see [28] for the concept of symmetry and its implicationsfor the free energy and entropy of random ... the case of a standard substitution rule. Denoting the number of letters a, b and c in any of the words w(j)aby naa, nba and nca, respectively, with naa+ nba+ nca= m ,and analogously ... electronic journal of combinatorics 11 (2004), #R14 13Table 1: Degrees dnum and dden of the numerator and denominator polynomials of thegenerating functions S()(x), respectively, and the numerical...