The sequences of Fibonacci and Lucas for each real quadratic fields $\mathbb{Q}(\sqrt{d})$

Pablo Lam-Estrada, Myriam Rosalía Maldonado-Ramírez, José Luis López-Bonilla +1

We construct the sequences of Fibonacci and Lucas at any quadratic field $\mathbb{Q}(\sqrt{d})$ with $d>0$ square free, noting in general that the properties remain valid as thos…