Primes and composites in the determinant Hosoya triangle

Hsin-Yun Ching, Rigoberto Flórez, F. Luca +2

In this paper, we look at numbers of the form $H_{r,k}:=F_{k-1}{F}_{r-k+2}+F_k{F}_{r-k}$. These numbers are the entries of a triangular array called the \emph{determinant Hosoya tria…