Generalization of an Integer Sequence Associated with Tribonacci Numbers

Authors : Barış ARSLAN, Kemal USLU

Pages : 33-38

Doi:10.31590/ejosat.1144208

View : 16 | Download : 29

Publication Date : 2022-07-31

Article Type : Research Paper

Abstract :In this paper we first consider an integer sequence which enumerates the number of subsets of S of the set [n]={1,2, . . . ,n } containing no three consecutive odd integers. Then we generalize this sequence to a polynomial sequence which is associated with the Tribonacci polynomials. Next, we obtain some basic properties of the polynomial sequence.
Keywords : Polinom dizileri, Tribonacci polinomları, Ardışık tek sayılar, Üreteç fonksiyon