Combinatorial computation of the motivic Poincare series

We give an explicit algorithm computing the motivic generalization of the Poincare series of a plane curve singularity introduced by A. Campillo, F. Delgado and S. Gusein-Zade. It is done in terms of the embedded resolution. The result is a rational function depending of the parameter q, at q = 1 it coincides with the Alexander polynomial of the corresponding link. For irreducible curves we relate this invariant to the Heegaard-Floer knot homology constructed by P. Ozsvath and Z. Szabo. Many explicit examples are considered.