Sur une extension des nombres de Genocchi

We study the sequence of polynomials Bn(x, y) defined through the recurrence B1(x, y) = 1, Bn(x, y) = (x + 1)(y + 1)Bn−1(x + 1, y + 1) − xyBn−1(x, y), which extend the Gandhi polynomials generating the Genocchi numbers. We give a combinatorial interpretation of these polynomials, and a continued fraction representation for their ordinary generating function.