NEGATIVELY SUBSCRIPTED FIBONACCI AND LUCAS NUMBERS AND THEIR COMPLEX FACTORIZATIONS

Kilic E., Tasci D.

ARS COMBINATORIA, vol.96, pp.275-288, 2010 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 96
  • Publication Date: 2010
  • Title of Journal : ARS COMBINATORIA
  • Page Numbers: pp.275-288

Abstract

In this paper, we find families of (0, -1, 1) -tridiagonal matrices whose determinants and permanents equal to the negatively subscripted Fibonacci and Lucas numbers. Also we give complex factorizations of these numbers by the first and second kinds of Chebyshey polynomials.