A Sequence Bounded Above by the Lucas Numbers

ISSN: 1301-4048
Yayın Aralığı: Yılda 6 Sayı
Başlangıç: 1997
Yayıncı: Sakarya Üniversitesi Fen Bilimleri Enstitüsü

In this work, we consider the sequence whose nth term is the number of ℎ-vectors of length n. The set of integer vectors E(n) is introduced. For n ≥ 2, the cardinality of E(n) is the nth Lucas number Ln is showed. The relation between the set of ℎ-vectors L(n) and the set of integer vectors E(n) is given.

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