  We introduce a sequence $P_{2n}$ of monic reciprocal polynomials with integer
coefficients having the central coefficients fixed. We prove that the ratio
between number of nonunimodular roots of $P_{2n}$ and its degree $d$ has a
limit when $d$ tends to infinity. We present an algorithm for calculation the
limit and a numerical method for its approximation. If $P_{2n}$ is the sum of a
fixed number of monomials we determine the central coefficients such that the
ratio has the minimal limit. We generalise the limit of the ratio for
multivariate polynomials. Some examples suggest a theorem for polynomials in
two variables which is analogous to Boyd's limit formula for Mahler measure.
