Milica Anđelić, C.M. da Fonseca (2021) On the constant coefficients of a certain recurrence relation: A simple proof, Heliyon, Vol. 7, E07764, 10.1016/j.heliyon.2021.e07764
Abstract. In this note, we provide a short proof for the explicit formulas of the coefficients of a particular $3$-term recurrence relation derived from a $k$-periodic recurrence. Any of the recurrences can be naturally interpreted in terms of determinants of Hessenberg matrices families.