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

{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

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

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.

Keywords:

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

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