  Let H(N) denote the set of all polynomials with positive integer coefficients
which have their zeros in the open left half-plane. We are looking for
polynomials in H(N) whose largest coefficients are as small as possible and
also for polynomials in H(N) with minimal sum of the coefficients. Let h(N) and
s(N) denote these minimal values. Using Fekete's subadditive lemma we show that
the N-th square roots of h(N) and s(N) have a limit as N goes to infinity and
that these two limits coincide. We also derive tight bounds for the common
value of the limits.
