Number of Subsets of the Set [n] Including No Three Consecutive Even Integers.

Yıl 2021, Sayı: 28, 552 - 556, 30.11.2021

Barış Arslan , Kemal Uslu

https://doi.org/10.31590/ejosat.1008742

Cited By: 1

Öz

Consider an integer sequence counting the number of subsets of S of the set {1,2, . . . ,n } containing no three consecutive even integers. The sequence is associated with the Tribonacci sequence. Furthermore, we investigate some basic properties of the sequence.

Anahtar Kelimeler

Tribonacci numbers, recurrence relation, consecutive even integers, generating function, combinatorial representation

[n] Kümesinin Ardışık Üç Çift Tam Sayı İçermeyen Alt Kümelerinin Sayısı

Öz

{1,2, . . . ,n } kümesinin ardışık üç çift tam sayı içermeyen S alt kümelerinin sayısını veren tam sayı dizisini alalım. Bu dizi Tribonacci sayı dizisi ile ilişkilendirildi. Ayrıca dizinin bazı temel özellikleri incelendi.

Anahtar Kelimeler

Tribonacci sayıları, rekürans bağıntı, ardışık çift sayılar, üreteç fonksiyon, kombinatoryal gösterim

Kaynakça

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