Inertially arbitrary pattern

An n x n sign pattern matrix A is an inertially arbitrary pattern (LAY) if each nonnegative triple (r, s, t) with r+s+t=n is the inertia of a matrix w ith sign pattern A. This paper considers the n x n (n greater than or equal to 2) skew-symmetric sign pattern S-n with each upper off diagonal entry p ositive, the (1, 1) entry negative, the (n, n) entry positive, and every ot her diagonal entry zero. We prove that S-n is an IAP.