On triangles with coordinates of vertices from the terms of the sequences {U_kn} and {V_kn}

In this paper, we determine some results of the triangles with coordinates of vertices involving the terms of the sequences {Ukn} and {Vkn} where Ukn are terms of a second order recurrent sequence and Vkn are terms in the companion sequence for odd positive integer k, generalizing works of Čerin. For example, the cotangent of the Brocard angle of the triangle Δkn is cot(ΩΔkn = (Uk(2n+3)V2k − Vk(2n+3)Uk) / ((−1)nU2k)