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A sequence defined by [formula omitted]-sequences

Authors
Journal
Discrete Mathematics
0012-365X
Publisher
Elsevier
Publication Date
Volume
333
Identifiers
DOI: 10.1016/j.disc.2014.06.007
Keywords
  • Hilbert Function
  • [Formula Omitted]-Sequence
  • [Formula Omitted]-Vector
  • Partitions
  • Lex Ideal

Abstract

Abstract In this note we consider the sequence whose nth term is the number of M-sequences of length n. We show that the nth term of this sequence is bounded above by the nth Fibonacci number and bounded below by the number of integer partitions of n into distinct parts.

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