ON THE DETERMINANTS OF PENTADIAGONAL MATRICES WITH THE CLASSICAL FIBONACCI, GENERALIZED FIBONACCI AND LUCAS NUMBERS

Abstract

In this paper, we compute the determinants of several pentadiagonal matrices with the generalized Fibonacci, generalized Lucas numbers and the determinant of a pentadiagonal matrix with the classical Fibonacci numbers, and then we show how the classical Fibonacci numbers arise as determinants of some pentadiagonal matrices.