The eigenvalues of circulant matrices with generalized tetranacci numbers

Abstract

Let the sequence (????)???? be the generalized tetranacci sequence. Define the ?? × ?? circulant matrix C(??) byc??j = {??j???, j ? ??????+j???, j < ?? for ??, j = 1, 2, … , ??. In this paper, the eigenvalue of ??(??) is studied. By using this value, thedeterminant value of this matrix is delivered.