Polynomials s_k(x;a) which form the Sheffer sequence for g(t) | = | ((e^t - 1)/t)^(-a) f(t) | = | e^t - 1 which have generating function sum_(k = 0)^∞ (s_k(x))/(k!) t^k = [t/(ln(1 + t))]^a (1 + t)^x. The first few are s_0(x;a) | = | 1 s_1(x;a) | = | 1/2(2x + a) s_2(x;a) | = | 1/12[12x^2 + 12(a - 1) x + a(3a - 5)].