Enkosky, ThomasStone, Branden2018-02-272018-02-27Thomas Enkosky, Branden Stone. "Sequences defined by h-vectors."https://hdl.handle.net/2144/27316In 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.CombinatoricsCommutative algebraArticle