On the intersections of Fibonacci, Pell, and Lucas numbers

Max A. Alekseyev

We describe how to compute the intersection of two Lucas sequences of the forms $\{U_n(P,\pm 1){\}}_{n=0}^{\infty }$ or $\{V_n(P,\pm 1){\}}_{n=0}^{\infty }$ with $P\in \mathbb{Z}$ that…