We did quite a few examples that showed how combinatorial properties of arrangements counted by the coefficients in a generating function could be mirrored by algebraic properties of the generating fu...We did quite a few examples that showed how combinatorial properties of arrangements counted by the coefficients in a generating function could be mirrored by algebraic properties of the generating functions themselves. The monomials x^i are called indicator polynomials. In general, a sequence of polynomials is called a family of indicator polynomials if there is one polynomial of each nonnegative integer degree in the sequence.
