Tribonacci Sayıları ile İlişkili Bir Tamsayı Dizisininin Genellemesi

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.