Polynomials S_k(x) which form the Sheffer sequence for g(t) | = | e^(-t) f^(-1)(t) | = | ln(1/(1 - e^(-t))), where f^(-1)(t) is the inverse function of f(t), and have generating function sum_(k = 0)^∞ (S_k(x))/(k!) t^k = (t/(1 - e^(-t)))^(x + 1). The first few polynomials are S_0(x) | = | 1 S_1(x) | = | 1/2(x + 1) S_2(x) | = | 1/12(3x + 2)(x + 1) S_3(x) | = | 1/8 x(x + 1)^2.

Stirling number of the first kind | Stirling number of the second kind