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Generating functions for products of recursive sequences

Generating functions for products of recursive sequences

(1.4) u0= 1, ul = p, Un = PUn-1 qun-2 (n = 2, 3, ...), (1.5) v0= 2, vl = p, Vn = PVn-1 qvn-2 (n = 2, 3, ...), with p2 4q # 0. In (1.3a) and (1.3b) (which are the generating functions for the kth power of two …