A Lucas polynomial sequence is a pair of generalized polynomials which generalize the Lucas sequence to polynomials is given by W_n^k(x) | = | (Δ^k(x)[a^n(x) - (-1)^k b^n(x)])/(Δ(x)) w_n^k(x) | = | Δ^k(x)[a^n(x) + (-1)^k b^n(x)], where a(x) + b(x) | = | p(x) a(x) b(x) | = | -q(x).
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