  The quasiparticle energy spectrum of an isolated vortex in a clean layered
d-wave superconductor is calculated. The Bogoliubov--de Gennes equations are
solved perturbatively, within the model of step-variation of the gap function,
adjusting the Caroli, de Gennes and Matricon approach for low-lying excitations
in cuprates. A large peak in the density of states in a "pancake" vortex is
found, as a consequence of two-dimensionality and strong coupling.
