In this paper described numerical expansion of natural-valued power function xⁿ, in point x = x_0, where n; x₀ - positive integers. Applying numerical methods, the calculus of nite dierences, particular pattern, that is sequence A287326 in OEIS, which shows the expansion of perfect cube n as row sum over k; 0 ≤ k ≤ n − 1 is generalized, obtained results are applied to show expansion of monomial n^2m+1; m = 0; 1; 2; ..., N. Additionally, relation between Faulhaber's sum ∑_n^m and nite dierences of power are shown in section 4.