From Binomial to Trinomial Coefficients and Beyond

  • Peter Hilton
  • Derek Holton
  • Jean Pedersen
Part of the Undergraduate Texts in Mathematics book series (UTM)

Abstract

In [3 (Chapter 6, Part I), 5, and 6] we presented the binomial coefficients r n in a geometric, an algebraic, and a combinatorial framework, being much concerned with establishing interesting connections between their algebraic properties and geometric features of the Pascal Triangle.

Keywords

Equilateral Triangle Multinomial Coefficient Binomial Coefficient Regular Tetrahedron Combinatorial Interpretation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • Peter Hilton
    • 1
  • Derek Holton
    • 2
  • Jean Pedersen
    • 3
  1. 1.Mathematical Sciences DepartmentSUNY at BinghamtonBinghamtonUSA
  2. 2.Department of Mathematics and StatisticsUniversity of OtagoDunedinNew Zealand
  3. 3.Department of Mathematics and Computer ScienceSanta Clara UniversitySanta ClaraUSA

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