A Sequence Bounded Above by the Lucas Numbers

Authors : Ali AYDOĞDU, Engin ÖZKAN, Aykut GÖÇER

Pages : 1853-1856

Doi:10.16984/saufenbilder.443551

View : 20 | Download : 10

Publication Date : 2018-12-01

Article Type : Research Paper

Abstract :In this work, we consider the sequence whose  n th  term is the number of h -vectors of length n . The set of integer vectors E insert ignore into journalissuearticles values( n );  is introduced. For, n  >= 2,   the cardinality of  E insert ignore into journalissuearticles values( n ); is the n th  Lucas number L n  is showed. The relation between the set of h -vectors  L insert ignore into journalissuearticles values( n ); and the set of integer vectors  E insert ignore into journalissuearticles values( n ); is given.
Keywords : Cardinality, h vectors, Hilbert function, Lucas Numbers