On The Generalized Lucas Sequences By Hessenberg Matrices

E. Kilic1, D. Tasci2, P. Haukkanen3
1TOBB Economics anp TECHNOLOGY UNIVERSITY MATHEMATICS DEPARTMENT 06560 ANKARA TURKEY
2Gazi UNIVERSITY, MATHEMATICS DEPARTMENT, 06500 ANKARA TURKEY
3DEPARTMENT OF MATHEMATICS, STATISTICS AND PHILOSOPHY, FI-33014 UNIVERSITY OF TAMPERE, FINLAND

Abstract

We show that there are relationships between a generalized Lucas sequence and the permanent and determinant of some Hessenberg matrices.