An exact recursion for the composite nearest-neighbor degeneracy for a 2× N lattice space
Richmond B. McQuistan, Jeffrey L. Hock · Journal of Mathematical Physics · 1984
A set theoretic argument is utilized to develop a recursion relation that yields exactly the composite nearest-neighbor degeneracy for simple, indistinguishable particles distributed on a 2×N lattice space. The associated generating functions, as well as the expectation of the resulting statistics are also treated.