The present article gives an account of a calculation of the sub-band structure and atomic plane projected electronic local densities of states of a simplified model of the newly appeared synthetic materials, Layered Ultra-thin Coherent Structures (LUCS), by means of the Green's function method in the tight-binding approximation including the nearest neighbor matrix elements only. A formulation of a more accurate method for the same purpose in terms of linear combinations of muffin-tin orbitals and interface plane wave orbitals is given in the appendix.