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Dergiler / Sakarya University Journal of Science / 2018 / Cilt: 22 Sayı: 6

A Sequence Bounded Above by the Lucas Numbers

Ali AYDOĞDU
Engin ÖZKAN
Aykut GÖÇER
Sayfa
1853–1856
Yayın Tarihi
2018-12-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The relation between the set of h-vectors L(n) and the set of integer vectors E(n) is given.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this work, we consider the sequence whose nth term is the number of h-vectors of length n.
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Temel Bulgular & Veri:For, n >=2, the cardinality of E(n) is the nth Lucas number Ln is showed.
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Sonuç & Katkı:The relation between the set of h-vectors L(n) and the set of integer vectors E(n) is given.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Cardinality · h-vectors · Hilbert function

Abstract

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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Bu Makaleye Atıf Yap

AYDOĞDU, A., ÖZKAN, E., GÖÇER, A. (2018). A Sequence Bounded Above by the Lucas Numbers. Sakarya University Journal of Science, Cilt: 22 Sayı: 6, 1853–1856. https://ajindex.com/articles/942111

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Kaynakça (4)

  1. W. Bruns and J. Herzog, “Cohen-Macaulay Rings, in: Cambridge Studies in Advanced Mathematics, vol 39,” Cambridge University Press, Cambridge, 1993
  2. T. Enkosky and B. Stone, “Sequence defined by h-vectors,” Eprint arXiv:1308.4945
  3. T. Enkosky, B. Stone, “A sequence defined by M-sequences,” Discrete Mathematics, vol. 333, pp. 35-38, 2014
  4. E. Ozkan, A. Geçer and İ. Altun, “A new sequence realizing Lucas numbers and the Lucas Bound,” Electronic Journal of Mathematical Analysis and Applications, vol. 5, no. 1, 148-154, 2017.