Tribonacci Sayıları ile İlişkili Bir Tamsayı Dizisininin Genellemesi

Bu çalışmada önce {1,2, . . . ,n } kümesinin ardışık üç tek sayı içermeyen S alt kümelerinin sayısına karşılık gelen tam sayı dizisini göz önüne aldık. Sonra bu diziyi, Tribonacci polinomları ile ilişkili bir polinom dizisine genelledik. Daha sonar polinom dizisinin bazı temel özelliklerini elde ettik.

Anahtar Kelimeler:

Polinom dizileri, Tribonacci polinomları, Ardışık tek sayılar, Üreteç fonksiyon

Generalization of an Integer Sequence Associated with Tribonacci Numbers

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:

Polynomial sequence, Tribonacci polynomials, Consecutive odd integers, Generating function,

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