The Holonomic Ansatz I. Foundations and applications to lattice path counting

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Abstract

Many combinatorial quantities belong to the holonomic ansatz. For example, sequences enumerating lattice paths. Once this fact is known, many times empirically obtained "conjectures" can be easily proved automatically.

Original languageEnglish (US)
Pages (from-to)227-239
Number of pages13
JournalAnnals of Combinatorics
Volume11
Issue number2
DOIs
StatePublished - Aug 2007

All Science Journal Classification (ASJC) codes

  • Discrete Mathematics and Combinatorics

Keywords

  • Computer-generated combinatorics
  • Lattice path enumeration

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