  Solving the Bogoliubov-de Gennes equation, we study the spatial structure of
odd-frequency s-wave Cooper pair amplitudes at each quantized energy level of
vortex bound states in chiral p-wave superconductors. For zero energy Majorana
states, the odd-frequency s-wave pair amplitude has the same spatial structure
as that of the local density of states even in atomic length scale. This
relation also holds in finite energy bound states for single vortex winding
anti-parallel to the chirality, but not for parallel vortex winding. The double
winding vortex case is also studied.
