On the discriminator of Lucas sequences. II

Matteo Ferrari, Florian Luca, Pieter Moree

The family of Shallit sequences consists of the Lucas sequences satisfying the recurrence $U_{n+2}(k)=(4k+2)U_{n+1}(k)-U_n(k),$ with initial values $U_0(k)=0$ and $U_1(k)=1$ and w…