Triangular Ising model: Complete expressions for even spin correlations in an exact evaluation of P(h,T)

Complete expressions of all even correlations for the triangular Ising model in a recent exact evaluation of P(h,T), the local magnetic field distribution, are obtained from the Pfaffian representation derived by Stephenson. The results for the ferromagnetic J<0 and antiferromagnetic J>0 cases contain a number of interesting features previously not pointed out in the Ising literature. As a bonus, some new inequalities relating odd and even correlations are also obtained.