Along the lines of this theorem, Selmer [1] has shown how one can form a higher-order linear recurrence consisting of the term-wise products of two other linear recurrences. In particular, let {sn} be an m-order and {tn} be a p-order linear integral recurrence with the associated polynomials s(x) and t(x), respectively. Let a^, i = 1,2, ..., m, and 3j, j = 1, 2, ..., p, be the roots of the poly...