Coincidences in generalized Lucas sequences

Eric F. Bravo, Jhon J. Bravo, Florian Luca

For an integer $k\ge 2$, let $(L_n^{(k)}{)}_n$ be the $k-$generalized Lucas sequence which starts with $0,\dots ,0,2,1$ ($k$ terms) and each term afterwards is the sum of the $k…