Here we present an application of Horner's method in evaluating the sequence of Stirling numbers of the second kind. Based on the method, we also give an e_cient way to calculate the diference sequence and divided diference sequence of a polynomial, which can be applied in the Newton interpolation. Finally, we survey all of the results in Proposition 1.4.
He, Tian-Xiao and Shiue, P. J.-S., "A Note on Horner's Method" (2012). Scholarship. 27.