TY  - JOUR
T1  - A Sequence Bounded Above by the Lucas Numbers
AU  - Aydoğdu, Ali
AU  - Özkan, Engin
AU  - Göçer, Aykut
PY  - 2018
DA  - December
Y2  - 2018
DO  - 10.16984/saufenbilder.443551
JF  - Sakarya University Journal of Science
JO  - SAUJS
PB  - Sakarya University
WT  - DergiPark
SN  - 2147-835X
SP  - 1853
EP  - 1856
VL  - 22
IS  - 6
LA  - en
AB  - In this work, we consider the sequence whosenthterm isthe number of h-vectors of length n. The set of integer vectors E(n)isintroduced. For, n>=2,the cardinality ofE(n)is the nthLucasnumber Lnisshowed. The relation between the set of h-vectorsL(n)and theset of integer vectorsE(n)is given.
KW  - Cardinality
KW  - h-vectors
KW  - Hilbert function
KW  - Lucas Numbers
CR  - [1]	W. Bruns and J. Herzog, “Cohen-Macaulay Rings, in: Cambridge Studies in Advanced Mathematics, vol 39,” Cambridge University Press, Cambridge, 1993.
CR  - [2]	T. Enkosky and B. Stone, “Sequence defined by h-vectors,” Eprint arXiv:1308.4945.
CR  - [3]	T. Enkosky, B. Stone, “A sequence defined by M-sequences,” Discrete Mathematics, vol. 333, pp. 35-38, 2014.
CR  - [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.
UR  - https://doi.org/10.16984/saufenbilder.443551
L1  - https://dergipark.org.tr/en/download/article-file/547469
ER  -