ON THE NORM OF CIRCULANT MATRICES VIA GENERALIZED TETRANACCI NUMBERS

Abstract

In this study, the sum of first n terms of this series is formulated by obtaining the Binet formula for the generalized Tetranacci sequence 〖(T〗_n )_(n∈N), whose initial values are T_0=a,〖 T〗_1=b,〖 T〗_2=c,T_3=d and defined by the T_n=pT_(n-1)+qT_(n-2)+rT_(n-3)+sT_(n-4) recurrence relation for n≥4. The generating function is obtained for generalized Tetranacci number sequence. In addition, some matrix norms are calculated for the circulant matrices consisting of elements of the generalized Tetranacci number sequence.