The Euler polynomial E_n(x) is given by the Appell sequence with g(t) = 1/2(e^t + 1), giving the generating function (2e^(x t))/(e^t + 1) congruent sum_(n = 0)^∞ E_n(x)t^n/(n!).

Appell sequence | Bernoulli polynomial | Euler number | Genocchi number | prime-generating polynomial