Sequences defined by h-vectors
Combinatorics
2013-08-28 v2 Commutative Algebra
Abstract
In this paper we consider the sequence whose n^{th} term is the number of h-vectors of length n. We show that the n^{th} term of this sequence is bounded above by the n^{th} Fibonacci number and bounded below by the number if integer partitions of n into distinct parts. Further we show embedded sequences that directly relate to integer partitions.
Cite
@article{arxiv.1308.4945,
title = {Sequences defined by h-vectors},
author = {Thomas Enkosky and Branden Stone},
journal= {arXiv preprint arXiv:1308.4945},
year = {2013}
}
Comments
10 pages; fixed typos and added reference