Poly-Bernoulli numbers which introduced by M.Kaneko are $B_k^{(n)}$ which satisfies in generating function ${Li_{k}(1-e^{-x}) \over 1-e^{-x}}=\sum_{n=0}^{\infty}B_{n}^{(k)}{x^{n}\over n!}$

where *Li* is the polylogarithm. The $B_{n}^{(1)}$ are the usual Bernoulli numbers. Is there shortest relation between poly-Bernoulli numbers and Euler numbers?