Sequences defined by h-vectors

2013/08/22 by Thomas Enkosky, Enkosky, Thomas, Branden Stone +1
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Advanced Mathematical Theories and Applications #math.AC #math.CO

paper · pdf · doi:10.48550/arxiv.1308.4945

10 pages; fixed typos and added reference

arxiv created 2013/08/26 · arxiv updated 2013/08/28

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.

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