Fibonacci matrix | Q-matrix

The Fibonacci Q-matrix is the matrix defined by Q congruent [F_2 | F_1 F_1 | F_0] = [1 | 1 1 | 0], where F_n is a Fibonacci number. Then Q^n = [F_(n + 1) | F_n F_n | F_(n - 1)] (Honsberger 1985, p. 106). It was first used by Brenner, and its basic properties were enumerated by King.